U N I V E R S I T Y
School of Engineering
BEng Honours Degree in Mechanical Technology
Final Year Project
Design analysis of a centrifugal disc pump for automotive
applications
Author – Neal Coope
Supervisor – Professor Peter White
Submitted in partial fulfilment of the requirements for the Degree of Bachelor of
Engineering in Mechanical Technology
Date of Submission – 30th
April 2004
Declaration i
Design analysis of a centrifugal disc pump for automotive applications
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Summary ii
Design analysis of a centrifugal disc pump for automotive applications
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Acknowledgements iii
Design analysis of a centrifugal disc pump for automotive applications
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Design analysis of a centrifugal disc pump for automotive applications
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Contents v
Design analysis of a centrifugal disc pump for automotive applications
9
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Contents vi
Design analysis of a centrifugal disc pump for automotive applications
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Contents vii
Design analysis of a centrifugal disc pump for automotive applications
A
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Contents viii
Design analysis of a centrifugal disc pump for automotive applications
& DDC
<A 9 DDC
DDC
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9 DDC
DDC
C DDC
List of figures ix
Design analysis of a centrifugal disc pump for automotive applications
Figure 1.10 A C / 0 / 0 !
Figure 1.11 A !9 0 !
Figure 1.12 A C &
Figure 1.15 A &
Figure 1.20 A ? $
Figure 1.21 A !9 $
Figure 1.24 A -
Figure 1.33 A 9 B
Figure 2.00 A 1
Figure 2.01 A 3 1
Figure 2.10 A 0 "
Figure 2.11 A 9 )#
Figure 2.23 A ( )&
Figure 2.30 A 7 )$
Figure 3.10 A ? )-
Figure 3.11 A )B
Figure 3.12 A )B
Figure 3.13 A ? 8
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Figure 3.14 A ),
Figure 3.20 A !##& )1
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Figure 4.00 A !)
Figure 4.10 A 7* !!
Figure 6.00 A $!
Figure 6.02 A $&
Figure 6.04 A ! !- $&
Figure 6.05 A ) & &,- $$
Figure 6.06 A ! $ - $$
Figure 6.07 A & B ,- $$
Figure 7.00 A -)
Figure 7.02 A -!
Figure 7.03 A 9 -&
Figure 7.22 A ; 8 -B
List of figures x
Design analysis of a centrifugal disc pump for automotive applications
Figure 7.25 A C -,
List of tables xi
Design analysis of a centrifugal disc pump for automotive applications
Table 4.20 A * !$
Table 4.21 A 3 !$
Table 4.30 A !$
Table 4.30 A !-
Table 4.48 A !,
Table 4.61 A &)
Table 5.24 A &B
Table 5.51 A 2 $)
Table 6.03 A $&
Table 6.26 A $,
Table 7.22 A 3 -B
Table 8.00 A B#
List of graphs xii
Design analysis of a centrifugal disc pump for automotive applications
Graph 2.20 A )!
Graph 4.42 A & !- E2F !-
Graph 4.43 A & !- E2F !B
Graph 4.44 A ! E2F !B
Graph 4.45 A ! E2F !B
Graph 4.46 A ) E2F !,
Graph 4.47 A ) E2F !,
Graph 4.52 A & !- E9 F !1
Graph 4.53 A & !- E9 F !"
Graph 4.54 A ! E9 F !"
Graph 4.55 A ! E9 F !"
Graph 4.56 A ) E9 F &#
Graph 4.57 A ) E9 F &#
Graph 4.63 A )# &# &!
Graph 5.01 A )# &# &&
Graph 5.22 A # $ E2F &-
Graph 5.23 A # $ E2F &-
Graph 5.53 A # $ E9 F &,
Graph 5.34 A # $ E9 F &,
Graph 5.40 A )# &# &1
Graph 5.41 A 7 &### 36 &"
Graph 5.42 A 7 -### 36 &"
Graph 5.43 A 7 ,### 36 &"
Graph 6.22 A ! !- E2F
$B
Graph 6.23 A ) & &,- E2F
$B
Graph 6.24 A ! $ - E2F
$B
Graph 6.25 A & B ,- E2F
$,
Graph 6.32 A ! !-
E9 F $1
List of graphs xiii
Design analysis of a centrifugal disc pump for automotive applications
Graph 6.33 A ) & &,-
E9 F $1
Graph 6.34 A ! $ -
E9 F $"
Graph 6.35 A & B ,-
E9 F $"
Graph 7.01 A -!
Graph 7.10 A -$
Graph 7.24 A -,
List of equations xiv
Design analysis of a centrifugal disc pump for automotive applications
Equation 1.13 A 7 &
Equation 1.14 A G &
Equation 1.22 A 9 $
Equation 1.23 A G -
Equation 1.30 A 3 B
Equation 1.31 A 9 B
Equation 1.32 A 9 ,
Equation 2.12 A ))
Equation 2.21 A 3 )!
Equation 2.22 A 7 )!
Equation 4.11 A 3 !!
Equation 4.40 A 3 !-
Equation 4.41 A 7 !-
Equation 4.50 A 9 !1
Equation 4.51 A 9 !1
Equation 4.60 A &#
Equation 4.62 A 9 &!
Equation 5.00 A &&
Equation 5.20 A 3 &$
Equation 5.21 A 7 &$
Equation 5.30 A 9 &B
Equation 5.31 A 9 &B
Equation 5.32 A 9 &B
Equation 5.50 A $)
Equation 6.01 A 2 E F $!
Equation 6.20 A 3 $-
Equation 6.21 A 7 $-
Equation 6.30 A 9 $1
Equation 6.31 A 9 $1
Equation 7.11 A ; C -$
Equation 7.12 A C $ --
Equation 7.20 A --
Equation 7.21 A 6 8 --
List of symbols xv
Design analysis of a centrifugal disc pump for automotive applications
H 2 E( !
F
C E (F
9 E F
( 9
I 9
J 9 E ( !
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G
E7 F K!###
9 9 E F
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7 5 E.F
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M ;
$ E !
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P E F
) "# E !
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F
& !,# E !
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Introduction xvi
Design analysis of a centrifugal disc pump for automotive applications
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Chapter 1 1
Introduction to fluids
Design analysis of a centrifugal disc pump for automotive applications
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= '
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/ 0
Chapter 1 2
Introduction to fluids
Design analysis of a centrifugal disc pump for automotive applications
Figure 1.10 – Velocity profiles for ‘ideal’ and ‘real’ fluids [1]
;
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0 Q
'
Figure 1.11 – 2D velocity profile for fluid passing through rotating plates [2]
' I
H
( ;
) )! 7* ) )&
Chapter 1 3
Introduction to fluids
Design analysis of a centrifugal disc pump for automotive applications
Figure 1.12 – Velocity profile of a viscous fluid [3]
du
dy
t m=
Equation 1.13 – Elementary law of fluid friction [4]
; H
( '
I'
J ' '
7* ) )$
m
u
r
=
Equation 1.14 – Kinematic viscosity relationship [5]
Figure 1.15 – Newtonian fluid characteristics [6]
) !
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5
Chapter 1 4
Introduction to fluids
Design analysis of a centrifugal disc pump for automotive applications
Q; ) !#
E!F E)F
Figure 1.20 – Laminar and turbulent flow patterns [7]
; ) !) !9 '
E 7F
Figure 1.21 – 2D velocity profiles for laminar and turbulent flow [8]
'
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3
RE
RE
Density (kg/m ) Speed V (m/s) Diameter D (m)
Reynolds Number N
Dynamic Viscosity (kg/ms)
VD
N
r
m
r
m
´ ´
=
=
Equation 1.22 – Dynamic viscosity Reynolds number relationship [9]
2
1
Chapter 1 5
Introduction to fluids
Design analysis of a centrifugal disc pump for automotive applications
RE
RE
Speed V (m/s) Diameter D (m)
Reynolds Number N
Kinematic Viscosity (kg/ms)
VD
N
u
u
´
=
=
Equation 1.23 – Kinematic viscosity Reynolds number relationship [10]
2 *
' E 7 F !###
; ) !$ R
Figure 1.24 – Reynolds number against wall friction [11]
) & 9 :
;
* 2
'
8
7* 2 *
NRECRIT
Chapter 1 6
Introduction to fluids
Design analysis of a centrifugal disc pump for automotive applications
7* ) &#
2 2 3
P Q
N D ND
f
r
æ öD ÷ç= ÷ç ÷÷çè ø
Equation 1.30 – Pressure and volume flow rate relationship [12]
7* ) &#
7* ) &) 7* ) &!
; ) &&
( ) ( )
2
2 23
Pressure generated P (N/m )
Dimensionless Group =
Density (kg/m ) Speed (rad/s) Diameter D (m)r ´ W ´
V
Equation 1.31 – Dimensionless pressure group
( )
3
3
Flow rate Q (m /s)
Dimensionless Group =
Speed (rad/s) Diameter D (m)W ´
Equation 1.32 – Dimensionless flow group
Figure 1.33 – Dimensionless pressure against flow rate curve [13]
; ) &&
Chapter 2 7
Introduction to pumps and centrifugal disc pumps
Design analysis of a centrifugal disc pump for automotive applications
!
! #
3 '
*
*
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'
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Chapter 2 8
Introduction to pumps and centrifugal disc pumps
Design analysis of a centrifugal disc pump for automotive applications
;
' '
* ; ! #)
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'
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Figure 2.00 – Impeller design for a high performance centrifugal pump [14]
Figure 2.01 – Positive displacement or gear type pump [15]
*
4
Chapter 2 9
Introduction to pumps and centrifugal disc pumps
Design analysis of a centrifugal disc pump for automotive applications
! )
)")# ' '
23 E )#B))$!F
/ 0 ; ! )#
Figure 2.10 – Tesla’s original drawings taken from US Patent No. 1061142 [16]
/ 0 / 0
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0 ;
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; B#0
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3 4
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Chapter 2 10
Introduction to pumps and centrifugal disc pumps
Design analysis of a centrifugal disc pump for automotive applications
3 4 7
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0
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2 <
0
23
2 8 &#
/ 0
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9
4 / 0
' ; ! ))
E 7F' 7* ! )! E )
F'
'
'
Figure 2.11 – Discflo Corporation developed disc pump impeller [17]
Chapter 2 11
Introduction to pumps and centrifugal disc pumps
Design analysis of a centrifugal disc pump for automotive applications
( )
( )
23
RE
2
RE 2
Density (kg/m ) Speed (rad/s) Separation h (m)
Reynolds Number N =
Dynamic Viscosity (kg/ms)
Speed (rad/s) Separation h (m)
Reynolds Number N =
Kinematic Viscosity (m /s)
or
r
m
n
´ W ´
W ´
Equation 2.12 – Reynolds number for disc to disc separation [18]
'
' )'
'
5 * '
9
9#!-(#& [19]
! ! *
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=2-&)B 267 3 1 !
*
' *
<
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Chapter 2 12
Introduction to pumps and centrifugal disc pumps
Design analysis of a centrifugal disc pump for automotive applications
Pump Performance
0.00
5.00
10.00
15.00
20.00
25.00
30.00
35.00
40.00
45.00
50.00
0.00 20.00 40.00 60.00 80.00 100.00 120.00
Flow (L/min)
Head(m)
0.00
5.00
10.00
15.00
20.00
25.00
30.00
35.00
40.00
45.00
50.00
PumpEfficiency(%)
Graph 2.20 – Centrifugal pump performance plot
*
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7* ! !!
Pressure generated P = Pressure at Outlet - Pressure at InletD
Equation 2.21 – Pressure generated by a centrifugal pump [20]
Pressure generated P Flow rate Q
Efficiency % =
Power
h
D ´
Equation 2.22 – Efficiency of a centrifugal pump [21]
=2-&)B
'
; ! !&
( =2-&)B' E)F
E!F E&F
E$F E-F
*
EBF
E,F
Chapter 2 13
Introduction to pumps and centrifugal disc pumps
Design analysis of a centrifugal disc pump for automotive applications
Figure 2.23 – Conventional centrifugal pump testing rig/circuit
! &
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7
2
5
3
4
6
1
Chapter 2 14
Introduction to pumps and centrifugal disc pumps
Design analysis of a centrifugal disc pump for automotive applications
' EBF
E-F
Figure 2.30 – Exploded view of the centrifugal disc pump prototype
9 !##&
=2-&)B'
1
2
3
4
5
6
Chapter 3 15
Centrifugal disc pump prototype and test rig modifications
Design analysis of a centrifugal disc pump for automotive applications
"
& # 3
')# &# ' !##&'
*
& -. 1. [19] 4
* 8
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!##&'
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Figure 3.10 – Leakage path from the rear of the centrifugal disc pump prototype
' 2G; B##&+
!S 2G; B##&+
!S 2G; 8
1
Chapter 3 16
Centrifugal disc pump prototype and test rig modifications
Design analysis of a centrifugal disc pump for automotive applications
'
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&9 9 E)F'2G;
B##&+!S E!F E&F
Figure 3.11 – Centrifugal disc pump prototype bearing modifications
4 '
) -
E)F ; & )!'
Figure 3.12 – Centrifugal disc pump prototype impeller pressure balance holes
!##&'
8 '
; & )& E)F 8
E!F E&F
123
1
Chapter 3 17
Centrifugal disc pump prototype and test rig modifications
Design analysis of a centrifugal disc pump for automotive applications
Figure 3.13 – Leakage path from the outlet port and pump body joint of the centrifugal disc pump
prototype
'
!& )#+B
G+)
6 2 )) )#+B
G+)
4 '
'
8 '
'
8 '
8 ; & )$ E)F 8
Figure 3.14 – Aluminium outlet port of centrifugal disc pump prototype
1
3
2
1
Chapter 3 18
Centrifugal disc pump prototype and test rig modifications
Design analysis of a centrifugal disc pump for automotive applications
& !
'
!##&
; & !#
!##& "# E)F '
E!F E&F
)- ' E$F !#
E-F !! 4
!##&
Figure 3.20 – Centrifugal disc pump prototype test rig early 2003
; & !)' "#
E)F
E!F
E&F > !!
2
3
4
1
5
Chapter 3 19
Centrifugal disc pump prototype and test rig modifications
Design analysis of a centrifugal disc pump for automotive applications
> E$F
E-F
3 B### 36
'; & !) *
,### 36
' ,T) EBF E,F
E1F
Figure 3.21 – Centrifugal disc pump prototype modified test rig
1
2
3
4
5
6
7 8
Chapter 4 20
Testing of existing impeller configurations
Design analysis of a centrifugal disc pump for automotive applications
# $ %
$ #
'
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* !
*
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E)F & !- '! ) ;
$ ## A
; A E?( F
3 A E CF
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3 A E4F
; A E F
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Chapter 4 21
Testing of existing impeller configurations
Design analysis of a centrifugal disc pump for automotive applications
Figure 4.00 – Centrifugal disc pump prototype impeller disc to disc separations
$ ) *
*
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'
=2-)&B 4 E)F
'
E)$F
EBF
E)&F E)!F )#
E))F )## *
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1
Chapter 4 22
Testing of existing impeller configurations
Design analysis of a centrifugal disc pump for automotive applications
Figure 4.10 – Equipment used on centrifugal disc pump prototype test rig
6
Pressure (mV) Pressure (Bar)
100
´ =
Equation 4.11 – Pressure conversion
E!F
E),F
E-F
'
E$F
)
E)-F
!##&' E)BF
' ' 9
1
2
34
5
6
7
8
9
10
13
11
14
12
16
15
17
Chapter 4 23
Testing of existing impeller configurations
Design analysis of a centrifugal disc pump for automotive applications
,- 1-
* E"F *
' ? 3 E)#F
&' ,T) E1F
E,F ,### 36
*
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' !'
$ ! 3
* ;
'
* ,T)
=
'
$ !# *
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' =
*
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Chapter 4 24
Testing of existing impeller configurations
Design analysis of a centrifugal disc pump for automotive applications
Speed Torque Power Speed Torque Power
RPM Nm kW RPM Nm kW
0 0.000 0.000 0 0.000 0.000
1000 0.180 0.028 1000 0.110 0.011
2000 0.202 0.042 2000 0.121 0.025
3000 0.205 0.063 3000 0.125 0.039
4000 0.208 0.086 4000 0.129 0.054
5000 0.214 0.111 5000 0.131 0.069
6000 0.216 0.136 6000 0.132 0.082
7000 0.212 0.160 7000 0.131 0.090
Room Temp Oil 80 deg C Oil
Table 4.20 – Centrifugal disc pump prototype residual torque and power consumption
*
'
=
$ !)
POSITION mV
Inlet 0.77
Outlet -0.08
Table 4.21 – Pressure transducer offsets for centrifugal disc pump prototype test rig
$ &
* !'
& !- '! ) ' ' '
' ' * * '
$ &# *
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C
0 0.000 0.000 1.19 0.42 0.025 0.44 0.52 0.031 0.00 23.60
Table 4.30 – Centrifugal disc pump prototype test data collection
2
* ' $ &)
Chapter 4 25
Testing of existing impeller configurations
Design analysis of a centrifugal disc pump for automotive applications
Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency
Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s %
314.159 1.035 0.327 -660 34320 0.000228957 29.00 34980 0.079 855.802 0.066357835 0.001478164 264 3.03368025
Table 4.31 – Centrifugal disc pump prototype corrected data
;
' E( !
F E &
(F
E2 A F
$ $ 2
5
'
7* $ $# 7* $ $) E( !
F E &
(F
2 2 2
Pressure generated P (N/m ) = Pressure at Outlet (N/m ) - Pressure at Inlet (N/m )V
Equation 4.40 – Pressure generated by centrifugal disc pump prototype
2 3
Pressure generated P (N/m ) Flow rate Q (m /s)
Efficiency % =
Power (Nm/s)
h
´V
Equation 4.41 – Efficiency of the centrifugal disc pump prototype
< $ $! < $ $& 2
& !- E2 A
F
3.25mm Room Temp Pressure v Flow Rate
0
50000
100000
150000
200000
250000
300000
350000
400000
450000
500000
0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001
Flowrate m^3/s
PressureN/m^2
0
5
10
15
20
25
Efficiency%
3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency
Graph 4.42 – 3.25mm separation at room temperature (SI)
Chapter 4 26
Testing of existing impeller configurations
Design analysis of a centrifugal disc pump for automotive applications
3.25mm 80 Deg C Pressure v Flowrate
0
50000
100000
150000
200000
250000
300000
350000
400000
450000
500000
0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001
Flowrate m^3/s
PressureN/m^2
0
5
10
15
20
25
Efficiency%
3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency
Graph 4.43 – 3.25mm separation at elevated temperature (SI)
< $ $$ < $ $- 2
! E2 A
F
2mm Room Temp Pressure v Flowrate
0
50000
100000
150000
200000
250000
300000
350000
400000
450000
500000
0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001
Flowrate m^3/s
PressureN/m^2
0
5
10
15
20
25
Efficiency%
3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency
Graph 4.44 – 2mm separation at room temperature (SI)
2mm 80 Deg C Pressure v Flowrate
0
50000
100000
150000
200000
250000
300000
350000
400000
450000
500000
0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001
Flowrate m^3/s
PressureN/m^2
0
5
10
15
20
25
Efficiency%
3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency
Graph 4.45 – 2mm separation at elevated temperature (SI)
< $ $B < $ $, 2
) E2 A
F
Chapter 4 27
Testing of existing impeller configurations
Design analysis of a centrifugal disc pump for automotive applications
1mm Room Temp Pressure v Flowrate
0
50000
100000
150000
200000
250000
300000
350000
400000
450000
500000
0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001
Flowrate m^3/s
PressureN/m^2
0
5
10
15
20
25
Efficiency%
3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency
Graph 4.46 – 1mm separation at room temperature (SI)
1mm 80 Deg C Pressure v Flowrate
0
50000
100000
150000
200000
250000
300000
350000
400000
450000
500000
0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001
Flowrate m^3/s
PressureN/m^2
0
5
10
15
20
25
Efficiency
3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency
Graph 4.47 – 1mm separation at elevated temperature (SI)
4 2
$ $1
Separation Temperature Flow rate Pressure Efficiency
mm m^3/s N/m^2 %
room 0.000525 275000 9
elevated 0.0006 245000 17.5
room 0.00056 300000 15
elevated 0.00052 320000 19.5
room 0.00056 300000 15
elevated 0.00062 350000 21.75
3.25
2
1
Table 4.48 – Centrifugal disc pump prototype maximum efficiencies and data
Chapter 4 28
Testing of existing impeller configurations
Design analysis of a centrifugal disc pump for automotive applications
$ - 9
4
7*
$ -# 7* $ -) =
( ) ( )
2
2 23
Pressure generated P (N/m )
Dimensionless Group =
Density (kg/m ) Speed (rad/s) Diameter D (m)r ´ W ´
V
Equation 4.50 – Dimensionless pressure group
( )
3
3
Flow rate Q (m /s)
Dimensionless Group =
Speed (rad/s) Diameter D (m)W ´
Equation 4.51 – Dimensionless flow group
< $ -! < $ -&
& !- E2 A
F
3.25mm Room Temp Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.0005 0.001 0.0015 0.002 0.0025 0.003
Q/(ND^3)
deltaP/(pN^2D^2)
3000RPM 5000RPM 7000RPM
Graph 4.52 – 3.25mm separation at room temperature (Dimensionless)
Chapter 4 29
Testing of existing impeller configurations
Design analysis of a centrifugal disc pump for automotive applications
3.25mm 80 Deg C Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.0005 0.001 0.0015 0.002 0.0025 0.003
Q/(ND^3)
deltaP/(pN^2D^2)
3000RPM 5000RPM 7000RPM
Graph 4.53 – 3.25mm separation at elevated temperature (Dimensionless)
< $ -$ < $ --
! E2 A
F
2mm Room Temp Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.0005 0.001 0.0015 0.002 0.0025 0.003
Q/(ND^3)
deltaP/(pN^2D^2)
3000RPM 5000RPM 7000RPM
Graph 4.54 – 2mm separation at room temperature (Dimensionless)
2mm 80 Deg C Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.0005 0.001 0.0015 0.002 0.0025 0.003
Q/(ND^3)
deltaP/(pN^2D^2)
3000RPM 5000RPM 7000RPM
Graph 4.55 – 2mm separation at elevated temperature (Dimensionless)
< $ -B < $ -,
) E2 A
F
Chapter 4 30
Testing of existing impeller configurations
Design analysis of a centrifugal disc pump for automotive applications
1mm Room Temp Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.0005 0.001 0.0015 0.002 0.0025 0.003
Q/(ND^3)
deltaP/(pN^2D^2)
3000RPM 5000RPM 7000RPM
Graph 4.56 – 1mm separation at room temperature (Dimensionless)
1mm 80 Deg C Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.0005 0.001 0.0015 0.002 0.0025 0.003
Q/(ND^3)
deltaP/(pN^2D^2)
3000RPM 5000RPM 7000RPM
Graph 4.57 – 1mm separation at elevated temperature (Dimensionless)
$ B
$ $1
'
E 7F 7* $ B#
( )
( )
23
RE
2
RE 2
Density (kg/m ) Speed (rad/s) Separation h (m)
Reynolds Number N =
Dynamic Viscosity (kg/ms)
Speed (rad/s) Separation h (m)
Reynolds Number N =
Kinematic Viscosity (m /s)
or
r
m
n
´ W ´
W ´
Equation 4.60 – Reynolds number for disc to disc separation
E 7F '
7* $ B#
E 7F $ B)'
Chapter 4 31
Testing of existing impeller configurations
Design analysis of a centrifugal disc pump for automotive applications
J )# &# "## ( &
I
!" )#+&
( UVVVW
Separation Reynolds
mm Number NRE
3.25 240
2 91
1 22.7
Table 4.61 – Reynolds numbers for existing disc to disc separations
4 67
9 9 6 +9 3 ; 0
/ &'( ) " &'( * +,
% - #)&'()+0 / - &'( %
.0[22] 2
4 !##&'
!) ,-. # ###B! &
(
&-#'### ( !
'
# ##) &
( $##'### ( !
<
$ -$'< $ -B < $ -1 &### 36'
-### 36 ,### 36
> 5
0
5
'
4
' E 7F
E 7F '
'
Chapter 4 32
Testing of existing impeller configurations
Design analysis of a centrifugal disc pump for automotive applications
7* $ B!
X
RECollapsed Data = N Test Data´
Equation 4.62 – Dimensionless collapsed data formula
< $ B& )# &#
E2 7 A % F
10w30 Oil Viscosity v Temperature Chart
0
0.001
0.002
0.003
0.004
0.005
0.006
0.007
-30 -20 -10 0 10 20 30 40 50 60 70 80 90 100 110 120
Temperature Deg C
KinematicViscositym^2/s
10w30 Oil Viscosity Cold Test Min Cold Test Max Hot Test Min Hot Test Max
Graph 4.63 – 10w30 automotive specification oil temperature v viscosity [23]
Chapter 5 33
Testing of ideal impeller configuration
Design analysis of a centrifugal disc pump for automotive applications
. $
- #
4
E 7F
' )# &# 4
67 0 / - &'( %
.0[22] / 0 =
7* - ##' E 7F -
$ < - #)
/ 0 )# &#
J "## ( &
I !" )#+&
(
( )
( )
23
RE
2
RE 2
Density (kg/m ) Speed (rad/s) Separation h (m)
Reynolds Number N =
Dynamic Viscosity (kg/ms)
Speed (rad/s) Separation h (m)
Reynolds Number N =
Kinematic Viscosity (m /s)
or
r
m
n
´ W ´
W ´
Equation 5.00 – Reynolds Number for disc to disc separation
10w30 Ideal disc to disc separation
0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000 11000
Speed RPM
DisctoDiscseparationmm
NRE = 5
Graph 5.01 – 10w30 automotive specification oil ideal disc to disc separation
< - #) ,### 36
)# &# # $ '
Chapter 5 34
Testing of ideal impeller configuration
Design analysis of a centrifugal disc pump for automotive applications
- ) '*
# $
*
$ *
!
/ 0
; / 0
' E( !
F
E &
(F E2 =A
F
- ! 2
5
' 7* - !# 7* - !) E( !
F
E &
(F
2 2 2
Pressure generated P (N/m ) = Pressure at Outlet (N/m ) - Pressure at Inlet (N/m )V
Equation 5.20 – Pressure generated by centrifugal disc pump prototype
2 3
Pressure generated P (N/m ) Flow rate Q (m /s)
Efficiency % =
Power (Nm/s)
h
´V
Equation 5.21 – Efficiency of the centrifugal disc pump prototype
< - !! < - !& 2 / 0
E2 =A
F
Chapter 5 35
Testing of ideal impeller configuration
Design analysis of a centrifugal disc pump for automotive applications
0.4mm Room Temp Pressure v Flowrate
0
50000
100000
150000
200000
250000
300000
350000
400000
450000
500000
0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001
Flowrate m^3/sPressureN/m^2
0
5
10
15
20
25
Efficiency%
3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency
Graph 5.22 – 0.4mm separation at room temperature (SI)
0.4 mm 80 Deg C Pressure v Flowrate
0
50000
100000
150000
200000
250000
300000
350000
400000
450000
500000
0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001
Flowrate m^3/s
PressureN/m^2
0
5
10
15
20
25
Efficency%
3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency
Graph 5.23 – 0.4mm separation at elevated temperature (SI)
< - !! )# &#
, -.'
'
>
' ' ' < - !&'
- !$ # $
'
Chapter 5 36
Testing of ideal impeller configuration
Design analysis of a centrifugal disc pump for automotive applications
Separation Temperature Flow rate Pressure Max Efficiency
mm m^3/s N/m^2 %
room 0.000525 275000 9
elevated 0.0006 245000 17.5
room 0.00056 300000 15
elevated 0.00052 320000 19.5
room 0.00056 300000 15
elevated 0.00062 350000 21.75
room 0.0005 275000 7.5
elevated 0.00068 340000 22
3.25
2
1
0.4
Table 5.24 – Centrifugal disc pump prototype maximum efficiencies and data
- & 9
= $
$
7* - &# 7* - &)
E 7F
7* - &!
( ) ( )
2
2 23
Pressure generated P (N/m )
Dimensionless Group =
Density (kg/m ) Speed (rad/s) Diameter D (m)r ´ W ´
V
Equation 5.30 – Dimensionless pressure group
( )
3
3
Flow rate Q (m /s)
Dimensionless Group =
Speed (rad/s) Diameter D (m)W ´
Equation 5.31 – Dimensionless flow group
X
RECollapsed Data = N Test Data´
Equation 5.32 – Dimensionless collapsed data formula
< - && < - &$ / 0
E2 =A
F
Chapter 5 37
Testing of ideal impeller configuration
Design analysis of a centrifugal disc pump for automotive applications
0.4mm Room Temp Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.0005 0.001 0.0015 0.002 0.0025 0.003
Q/(ND^3)deltaP/(pN^2D^2)
3000RPM 5000RPM 7000RPM
Graph 5.33 – 0.4mm separation at room temperature (Dimensionless)
0.4mm 80 Deg C Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.0005 0.001 0.0015 0.002 0.0025 0.003
Q/(ND^3)
deltaP/(pN^2D^2)
3000RPM 5000RPM 7000RPM
Graph 5.34 – 0.4mm separation at elevated temperature (Dimensionless)
< - &&
< - &$
'
- $
/ 0
# $
)# &#
*
Chapter 5 38
Testing of ideal impeller configuration
Design analysis of a centrifugal disc pump for automotive applications
'
4 )# &# ' <
- $#' / 0
' +$# )$#
/ 0 '
'
/ 0
10w30 Oil Viscosity v Temperature Chart
0
0.001
0.002
0.003
0.004
0.005
0.006
0.007
-30 -20 -10 0 10 20 30 40 50 60 70 80 90 100 110 120
Temperature Deg C
KinematicViscositym^2/s
10w30 Oil Viscosity Cold Test Min Cold Test Max Hot Test Min Hot Test Max
Graph 5.40 – 10w30 automotive specification oil temperature v viscosity
< - $#
)# &# / 0
5
'
<
- $)'< - $! < - $&
/ 0 &### 36'-### 36 ,### 36
E2
A 9 F
Chapter 5 39
Testing of ideal impeller configuration
Design analysis of a centrifugal disc pump for automotive applications
3000RPM 80 Deg C Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.0005 0.001 0.0015 0.002 0.0025 0.003
Q/(ND^3)deltaP/(pN^2D^2)
3.25mm 2mm 1mm 0.4mm
Graph 5.41 – Elevated temperature separation performance at 3000RPM
5000RPM 80 Deg C Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.0005 0.001 0.0015 0.002 0.0025 0.003
Q/(ND^3)
deltaP/(pN^2D^2)
3.25mm 2mm 1mm 0.4mm
Graph 5.42 – Elevated temperature separation performance at 5000RPM
7000RPM 80 Deg C Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.0005 0.001 0.0015 0.002 0.0025 0.003
Q/(ND^3)
deltaP/(pN^2D^2)
3.25mm 2mm 1mm 0.4mm
Graph 5.43 – Elevated temperature separation performance at 7000RPM
/ 0
# $ ' # $
/ 0 ,### 36
< - $&
2 E 7F
Chapter 5 40
Testing of ideal impeller configuration
Design analysis of a centrifugal disc pump for automotive applications
- 4 67
- - '
/ 0
' '
/ 0
)##
' E 7F
5
'
E F
'
2
'
5 ' -#(-#
'
( 9 (
/ 0
+$#
)$#
Chapter 5 41
Testing of ideal impeller configuration
Design analysis of a centrifugal disc pump for automotive applications
7* - -# / 0
' =
E 7F - 4 67
7* - -#'
E F
( )
( )
23
RE
2
RE 2
Density (kg/m ) Speed (rad/s) Separation h (m)
Reynolds Number N =
Dynamic Viscosity (kg/ms)
Speed (rad/s) Separation h (m)
Reynolds Number N =
Kinematic Viscosity (m /s)
or
r
m
n
´ W ´
W ´
Equation 5.50 – Reynolds Number for disc to disc separation
;
- -) / 0
)## J "## ( &
X !" )#+&
( '
1# J 1-- ( &
# #####,) !
(
( J ""1 &
( I ) )#+&
(
Fluid Separation
mm
Automotive specification oil 0.4
Automatic transmission fluid 0.5
Water/Glycol engine coolant 0.1
Table 5.51 – Suggested ideal disc to disc separations for automotive applications
Chapter 6 42
Testing of concentric casing
Design analysis of a centrifugal disc pump for automotive applications
+ $
B #
& $ '
'; B ## '
Figure 6.00 – Concentric and volute casings [24]
E F
7* B #)
*
( )
3
3
2 4
Speed (rad/s) Flow rate (m /s)
Specific speed (Ns) =
Head (m) g(m/s )
W ´
´
Equation 6.01 – Specific speed (Ns) of a centrifugal pump [25]
= *
E F
# !B E F '
> ;
B #!
Chapter 6 43
Testing of concentric casing
Design analysis of a centrifugal disc pump for automotive applications
E)F >
E!F
Figure 6.02 – Areas increased by modification to concentric casing
;
B #! ' 9
) -'! &
B #&
Radial clearance Area above impeller Cutwater Area
mm mm^2 mm^2
2.25 (standard) 40.5 37.8
3.375 (stage 1) 60.75 67.5
4.5 (stage 2) 81 84
6.75 (stage 3) 121.5 109
Table 6.03 – Increased area with modification
; B #-'; B #B ; B #, &9 9
! !- ; B #$
Figure 6.04 – Concentric casing standard 2.25mm radial clearance
1
2
Chapter 6 44
Testing of concentric casing
Design analysis of a centrifugal disc pump for automotive applications
Figure 6.05 – Concentric casing stage 1 3.375mm radial clearance
Figure 6.06 – Concentric casing stage 2 4.5mm radial clearance
Figure 6.07 – Concentric casing stage 3 6.75mm radial clearance
E2 ; A F
Chapter 6 45
Testing of concentric casing
Design analysis of a centrifugal disc pump for automotive applications
B ) '*
* $
* !
&
% / 0
-'
# $ ,- 1-
B ! 2
5
' 7* B !# 7* B !) E( !
F
E &
(F
2 2 2
Pressure generated P (N/m ) = Pressure at Outlet (N/m ) - Pressure at Inlet (N/m )V
Equation 6.20 – Pressure generated by centrifugal disc pump prototype
2 3
Pressure generated P (N/m ) Flow rate Q (m /s)
Efficiency % =
Power (Nm/s)
h
´V
Equation 6.21 – Efficiency of the centrifugal disc pump prototype
< B !! 2 / 0 # $
)# &#
! !- < B !&'< B !$ <
B !- 2
E2 9 A
F
Chapter 6 46
Testing of concentric casing
Design analysis of a centrifugal disc pump for automotive applications
Casing Standard Pressure v Flowrate
0
50000
100000
150000
200000
250000
300000
350000
400000
450000
500000
0 0.0002 0.0004 0.0006 0.0008 0.001 0.0012 0.0014 0.0016 0.0018 0.002
Flowrate m^3/sPressureN/m^2
0
5
10
15
20
25
30
Efficiency%
3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency
Graph 6.22 – Concentric casing standard 2.25mm radial clearance at elevated temperature (SI)
Casing Stage 1 Pressure v Flowrate
0
50000
100000
150000
200000
250000
300000
350000
400000
450000
500000
0 0.0002 0.0004 0.0006 0.0008 0.001 0.0012 0.0014 0.0016 0.0018 0.002
Flowrate m^3/s
PressureN/m^2
0
5
10
15
20
25
30
Efficency%
3000RPM 5000RPM 7000RPM 3000RPM Efficency 5000RPM Efficiency 7000RPM Efficiency
Graph 6.23 – Concentric casing stage 1 3.375mm radial clearance at elevated temperature (SI)
Casing Stage 2 Pressure v Flowrate
0
50000
100000
150000
200000
250000
300000
350000
400000
450000
500000
0 0.0002 0.0004 0.0006 0.0008 0.001 0.0012 0.0014 0.0016 0.0018 0.002
Flowrate m^3/s
PressureN/m^2
0
5
10
15
20
25
30
Efficiency%
3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency
Graph 6.24 – Concentric casing stage 2 4.5mm radial clearance at elevated temperature (SI)
Chapter 6 47
Testing of concentric casing
Design analysis of a centrifugal disc pump for automotive applications
Casing Stage 3 Pressure v Flowrate
0
50000
100000
150000
200000
250000
300000
350000
400000
450000
500000
0 0.0002 0.0004 0.0006 0.0008 0.001 0.0012 0.0014 0.0016 0.0018 0.002
Flowrate m^3/sPressureN/m^2
0
5
10
15
20
25
30
Efficiency%
3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency
Graph 6.25 – Concentric casing stage 3 6.75mm radial clearance at elevated temperature (SI)
B !B # $
)# &#
) -'! & > B !B
; ) -
> ,. # ###& &
(
'
# ##) &
( 5 '
!) ,-.
# $ '
)# &# ' ,### 36
& &,-
B, - !
B# ,- !
Radial clearance Flow rate Pressure Efficiency
mm m^3/s N/m^2 %
2.25 (standard) 0.00062 350000 21.75
3.375 (stage 1) 0.00092 375000 28
4.5 (stage 2) 0.00094 310000 25
6.75 (stage 3) 0.00092 280000 23
Table 6.26 – Centrifugal disc pump prototype maximum efficiencies and data
B & 9
$ -
7* B &# B &)
Chapter 6 48
Testing of concentric casing
Design analysis of a centrifugal disc pump for automotive applications
( ) ( )
2
2 23
Pressure generated P (N/m )
Dimensionless Group =
Density (kg/m ) Speed (rad/s) Diameter D (m)r ´ W ´
V
Equation 6.30 – Dimensionless pressure group
( )
3
3
Flow rate Q (m /s)
Dimensionless Group =
Speed (rad/s) Diameter D (m)W ´
Equation 6.31 – Dimensionless flow group
< B &!'< B &&'< B &$ < B &-
E2 9 A F
Casing Standard 80 Deg C Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.001 0.002 0.003 0.004 0.005 0.006
Q/(ND^3)
deltaP/(pN^2D^2)
3000RPM 5000RPM 7000RPM
Graph 6.32 – Concentric casing standard 2.25mm radial clearance at elevated temperature
(Dimensionless)
Casing Stage 1 80 Deg C Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.001 0.002 0.003 0.004 0.005 0.006
Q/(ND^3)
deltaP/(pN^2D^2)
3000RPM 5000RPM 7000RPM
Graph 1.33 – Concentric casing stage 1 3.375mm radial clearance at elevated temperature
(Dimensionless)
Chapter 6 49
Testing of concentric casing
Design analysis of a centrifugal disc pump for automotive applications
Casing Stage 2 80 Deg C Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.001 0.002 0.003 0.004 0.005 0.006
Q/(ND^3)deltaP/(pN^2D^2)
3000RPM 5000RPM 7000RPM
Graph 6.34 – Concentric casing stage 2 4.5mm radial clearance at elevated temperature
(Dimensionless)
Casing Stage 3 80 Deg C Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.001 0.002 0.003 0.004 0.005 0.006
Q/(ND^3)
deltaP/(pN^2D^2)
3000RPM 5000RPM 7000RPM
Graph 6.35 – Concentric casing stage 3 6.75mm radial clearance at elevated temperature
(Dimensionless)
& '
< B && < B &- ,### 36 '
'
B $
! !-
=
B, - !
B# ,- !
Chapter 6 50
Testing of concentric casing
Design analysis of a centrifugal disc pump for automotive applications
' 4
,. # ###& &
(
!-'### ( !
# ##) &
( $##'### ( !
E F # !B
4
'
Chapter 7 51
Design of volute casing
Design analysis of a centrifugal disc pump for automotive applications
/ -
, #
'
'
B E F # !B
'
Figure 7.00 – Concentric and volute casings [24]
=
5
'
* '
Chapter 7 52
Design of volute casing
Design analysis of a centrifugal disc pump for automotive applications
< , #)
E F
E F 2 ' E F
,!# # "--
Graph 7.01 – Casing efficiency ratio against pump speed [26]
C
' & 8
E)F
' E!F E&F
; , #!
Figure 7.02 – Typical centrifugal pump volute casing for a small automotive pump
3 2
1
Chapter 7 53
Design of volute casing
Design analysis of a centrifugal disc pump for automotive applications
'
; '
'; , #&
Figure 7.03 – Double volute casing for centrifugal pump [27]
, )
'
'
< , )#
E F
'
E F
E2 <A 9 F
Chapter 7 54
Design of volute casing
Design analysis of a centrifugal disc pump for automotive applications
Graph 7.10 – Typical volute pump [28]
2 < , )# E)F ! 5= (!
!
(7 E!F
C (!
; # !B
B E)F ) !# E!F # -#
7* , )) C ' '
M ' ' !'
t
2
2
t 2 2
t
t
V
QC=
U
D N
V =QC U where U =
60
0.079 7000
V =0.50
60
V =14.47m/s
p
p
æ ö´ ´ ÷ç´ ÷ç ÷÷çè ø
æ ö´ ´ ÷ç´ ÷ç ÷÷çè ø
Equation 7.11 – Flow coefficient and determination of Vt [29]
5 C ' '
* 7* , )!
C ' * M'
$'
1
2
Chapter 7 55
Design of volute casing
Design analysis of a centrifugal disc pump for automotive applications
t
4
4
t
4
-5 2
4
2
4
Q
V =
A
Q
A =
V
0.001
A =
14.47
A =6.9 10 m
A =69mm
´
Equation 7.12 – Velocity at Cutwater and determination of A4 [30]
' $'
B" !
'
B, - !
B
* $##'### ( !
# ##) &
(
B" !
, ! C
' E F # !B ,!#
G ' $' B" !
* 7* , !#
4
Angle
Area = A
360
q
q
´
Equation 7.20 – Area ratio formula [31]
; , !! 8 ' )' !
& * 7* , !)
4 4 4
1 2 3
A A 3A
A = A A
4 2 4
= =
Equation 7.21 – Major area formula [32]
Chapter 7 56
Design of volute casing
Design analysis of a centrifugal disc pump for automotive applications
Figure 7.21 – Four major volute casing areas [33]
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Angle Degrees Area mm^2 Impeller Outer Radius Impeller Inner Radius Running Clearance Dist Above 22mm Impeller Volute Radius mm
360 69.00 39.5 11.43 40 3.14 43.14
350 67.08 39.5 11.43 40 3.05 43.05
340 65.17 39.5 11.43 40 2.96 42.96
330 63.25 39.5 11.43 40 2.88 42.88
320 61.33 39.5 11.43 40 2.79 42.79
310 59.42 39.5 11.43 40 2.70 42.70
300 57.50 39.5 11.43 40 2.61 42.61
290 55.58 39.5 11.43 40 2.53 42.53
280 53.67 39.5 11.43 40 2.44 42.44
270 51.75 39.5 11.43 40 2.35 42.35
260 49.83 39.5 11.43 40 2.27 42.27
250 47.92 39.5 11.43 40 2.18 42.18
240 46.00 39.5 11.43 40 2.09 42.09
230 44.08 39.5 11.43 40 2.00 42.00
220 42.17 39.5 11.43 40 1.92 41.92
210 40.25 39.5 11.43 40 1.83 41.83
200 38.33 39.5 11.43 40 1.74 41.74
190 36.42 39.5 11.43 40 1.66 41.66
180 34.50 39.5 11.43 40 1.57 41.57
170 32.58 39.5 11.43 40 1.48 41.48
160 30.67 39.5 11.43 40 1.39 41.39
150 28.75 39.5 11.43 40 1.31 41.31
140 26.83 39.5 11.43 40 1.22 41.22
130 24.92 39.5 11.43 40 1.13 41.13
120 23.00 39.5 11.43 40 1.05 41.05
110 21.08 39.5 11.43 40 0.96 40.96
100 19.17 39.5 11.43 40 0.87 40.87
90 17.25 39.5 11.43 40 0.78 40.78
80 15.33 39.5 11.43 40 0.70 40.70
70 13.42 39.5 11.43 40 0.61 40.61
60 11.50 39.5 11.43 40 0.52 40.52
50 9.58 39.5 11.43 40 0.44 40.44
40 7.67 39.5 11.43 40 0.35 40.35
30 5.75 39.5 11.43 40 0.26 40.26
20 3.83 39.5 11.43 40 0.17 40.17
10 1.92 39.5 11.43 40 0.09 40.09
0 0.00 39.5 11.43 40 0.00 40.00
Table 7.22 – Proposed centrifugal disc pump prototype volute casing geometry
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Chapter 7 57
Design of volute casing
Design analysis of a centrifugal disc pump for automotive applications
E2 <A 9 F
Area v Angle for Volute Casing
0.00
10.00
20.00
30.00
40.00
50.00
60.00
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80.00
0 50 100 150 200 250 300 350 400
Angle Degrees
Areamm^2
Area Profile for Volute Casing
Graph 7.23 – Area increase linearity check graph
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Volute Casing Design Radius v Angle
0
10
20
30
40
50
360
350
340
330
320
310
300
290
280
270
260
250
240
230
220
210
200
190180170160
150
140
130
120
110
100
90
80
70
60
50
40
30
20
10
0
Impeller Outer Diameter Running Clearance 0.5mm Radially Volute Profile Impeller Inner Diameter
Figure 7.24 – Volute casing profile plot
Chapter 8 58
Discussion, conclusions and recommendations
Design analysis of a centrifugal disc pump for automotive applications
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Discussion, conclusions and recommendations
Design analysis of a centrifugal disc pump for automotive applications
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Best efficiency Predicted performance Original design performance Impeller investigation Casing investigaton
Pressure 400000 N/m^2 350000 N/m^2 340000 N/m^2 375000 N/m^2
Flow rate 0.001 m^3/s 0.00062 m^3/s 0.00068 m^3/s 0.00092 m^3/s
Efficiency 40-50 % 21.75% 22% 28
Disc separation N/A 1 mm 0.4 mm 0.4mm
Radial clearance N/A 2.25 mm 2.25 mm 3.375 mm
Cutwater area N/A 37.8 37.8 67.5
Table 8.00 – Centrifugal disc pump prototype practical test findings
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Design analysis of a centrifugal disc pump for automotive applications
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References 62
Design analysis of a centrifugal disc pump for automotive applications
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References 63
Design analysis of a centrifugal disc pump for automotive applications
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Bibliography 64
Design analysis of a centrifugal disc pump for automotive applications
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Bibliography 65
Design analysis of a centrifugal disc pump for automotive applications
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Design analysis of a centrifugal disc pump for automotive applications
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Appendix A I
Testing of existing impeller configurations
Design analysis of a centrifugal disc pump for automotive applications
% "5!.
3.25mm 3.25mm SI Units
Performance No Back Pressure Room Temp Performance No Back Pressure Room Temp
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
0 0.000 0.000 1.19 0.42 0.025 0.44 0.52 0.031 0.00 23.60 0.000 0.000 0.000 2520 3120 0 23.60
1000 0.512 0.053 1.15 0.38 0.023 1.15 1.23 0.074 2.20 22.90 104.720 0.512 0.053 2280 7380 0.00003674 22.90
2000 0.833 0.174 1.00 0.23 0.014 2.81 2.89 0.173 5.54 22.50 209.440 0.833 0.174 1380 17340 0.000092518 22.50
3000 1.803 0.341 0.65 -0.12 -0.007 5.74 5.82 0.349 11.99 24.10 314.159 1.803 0.341 -720 34920 0.000200233 24.10
4000 1.457 0.608 0.33 -0.44 -0.026 8.74 8.82 0.529 18.92 24.30 418.879 1.457 0.608 -2640 52920 0.000315964 24.30
5000 1.855 0.927 -0.08 -0.85 -0.051 11.88 11.96 0.718 26.70 24.40 523.599 1.855 0.927 -5100 71760 0.00044589 24.40
6000 2.270 1.418 -0.54 -1.31 -0.079 14.76 14.84 0.890 34.63 26.00 628.319 2.270 1.418 -7860 89040 0.000578321 26.00
7000 2.700 1.971 -0.99 -1.76 -0.106 17.18 17.26 1.036 42.69 28.00 733.039 2.700 1.971 -10560 103560 0.000712923 28.00
Performance Flow Sweeps Performance Flow Sweeps
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
3000 1.035 0.327 0.66 -0.11 -0.007 5.64 5.72 0.343 13.71 29.00 314.159 1.035 0.327 -660 34320 0.000228957 29.00
3000 1.008 0.318 0.74 -0.03 -0.002 7.24 7.32 0.439 11.77 29.20 314.159 1.008 0.318 -180 43920 0.000196559 29.20
3000 0.991 0.312 0.80 0.03 0.002 8.42 8.50 0.510 9.92 29.40 314.159 0.991 0.312 180 51000 0.000165664 29.40
3000 0.972 0.307 0.89 0.12 0.007 9.55 9.63 0.578 7.53 30.00 314.159 0.972 0.307 720 57780 0.000125751 30.00
3000 0.955 0.301 0.96 0.19 0.011 10.33 10.41 0.625 5.37 30.10 314.159 0.955 0.301 1140 62460 0.000089679 30.10
3000 0.930 0.294 1.03 0.26 0.016 11.10 11.18 0.671 3.19 30.50 314.159 0.930 0.294 1560 67080 0.000053273 30.50
3000 0.912 0.289 1.07 0.30 0.018 11.50 11.58 0.695 2.24 30.70 314.159 0.912 0.289 1800 69480 0.000037408 30.70
3000 0.833 0.256 1.14 0.37 0.022 12.27 12.35 0.741 0.00 31.00 314.159 0.833 0.256 2220 74100 0 31.00
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
5000 1.780 0.934 -0.08 -0.85 -0.051 11.32 11.40 0.684 28.71 31.20 523.599 1.780 0.934 -5100 68400 0.000479457 31.20
5000 1.736 0.911 0.14 -0.63 -0.038 17.56 17.64 1.058 24.96 32.00 523.599 1.736 0.911 -3780 105840 0.000416832 32.00
5000 1.690 0.887 0.30 -0.47 -0.028 21.66 21.74 1.304 21.79 32.10 523.599 1.690 0.887 -2820 130440 0.000363893 32.10
5000 1.638 0.861 0.49 -0.28 -0.017 24.93 25.01 1.501 18.17 32.40 523.599 1.638 0.861 -1680 150060 0.000303439 32.40
5000 1.592 0.837 0.63 -0.14 -0.008 26.93 27.01 1.621 14.98 32.50 523.599 1.592 0.837 -840 162060 0.000250166 32.50
5000 1.551 0.816 0.77 0.00 0.000 28.52 28.60 1.716 11.45 32.90 523.599 1.551 0.816 0 171600 0.000191215 32.90
5000 1.513 0.797 0.86 0.09 0.005 29.55 29.63 1.778 9.12 33.00 523.599 1.513 0.797 540 177780 0.000152304 33.00
5000 1.468 0.773 0.95 0.18 0.011 30.23 30.31 1.819 6.40 33.40 523.599 1.468 0.773 1080 181860 0.00010688 33.40
5000 1.381 0.730 1.05 0.28 0.017 31.22 31.30 1.878 3.01 34.00 523.599 1.381 0.730 1680 187800 0.000050267 34.00
5000 1.121 0.675 1.13 0.36 0.022 32.09 32.17 1.930 0.00 36.00 523.599 1.121 0.675 2160 193020 0 36.00
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
7000 2.666 1.952 -0.91 -1.68 -0.101 16.44 16.52 0.991 43.55 30.00 733.039 2.666 1.952 -10080 99120 0.000727285 30.00
7000 2.558 1.867 -0.64 -1.41 -0.085 31.04 31.12 1.867 39.87 32.90 733.039 2.558 1.867 -8460 186720 0.000665829 32.90
7000 2.429 1.790 -0.22 -0.99 -0.059 43.97 44.05 2.643 33.71 34.10 733.039 2.429 1.790 -5940 264300 0.000562957 34.10
7000 2.317 1.712 0.13 -0.64 -0.038 48.92 49.00 2.940 27.71 35.20 733.039 2.317 1.712 -3840 294000 0.000462757 35.20
7000 2.201 1.630 0.45 -0.32 -0.019 52.81 52.89 3.173 20.88 36.10 733.039 2.201 1.630 -1920 317340 0.000348696 36.10
7000 2.103 1.557 0.68 -0.09 -0.005 55.15 55.23 3.314 15.67 37.20 733.039 2.103 1.557 -540 331380 0.000261689 37.20
7000 1.984 1.473 0.87 0.10 0.006 57.95 58.03 3.482 9.80 37.50 733.039 1.984 1.473 600 348180 0.00016366 37.50
7000 1.863 1.380 0.99 0.22 0.013 59.57 59.65 3.579 5.49 37.80 733.039 1.863 1.380 1320 357900 0.000091683 37.80
7000 1.330 0.988 1.10 0.33 0.020 62.25 62.33 3.740 0.00 39.00 733.039 1.330 0.988 1980 373980 0 39.00
Performance No Back Pressure 80 Deg C Performance No Back Pressure 80 Deg C
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
0 0.000 0.000 0.73 -0.04 -0.002 0.38 0.46 0.028 0.00 78.60 0.000 0.000 0.000 -240 2760 0 78.60
1000 0.148 0.015 0.69 -0.08 -0.005 0.83 0.91 0.055 6.68 78.60 104.720 0.148 0.015 -480 5460 0.000111556 78.60
2000 0.283 0.060 0.60 -0.17 -0.010 1.56 1.64 0.098 14.78 78.00 209.440 0.283 0.060 -1020 9840 0.000246826 78.00
3000 0.454 0.143 0.43 -0.34 -0.020 2.41 2.49 0.149 22.72 79.20 314.159 0.454 0.143 -2040 14940 0.000379424 79.20
4000 0.650 0.273 0.24 -0.53 -0.032 3.28 3.36 0.202 30.16 81.10 418.879 0.650 0.273 -3180 20160 0.000503672 81.10
5000 0.873 0.458 0.00 -0.77 -0.046 4.21 4.29 0.257 36.19 80.90 523.599 0.873 0.458 -4620 25740 0.000604373 80.90
6000 1.120 0.703 -0.19 -0.96 -0.058 5.08 5.16 0.310 41.30 80.80 628.319 1.120 0.703 -5760 30960 0.00068971 80.80
7000 1.389 1.014 -0.46 -1.23 -0.074 6.04 6.12 0.367 46.26 81.10 733.039 1.389 1.014 -7380 36720 0.000772542 81.10
Performance Flow Sweeps Performance Flow Sweeps
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
3000 0.457 0.142 0.36 -0.41 -0.025 2.03 2.11 0.127 21.57 80.60 314.159 0.457 0.142 -2460 12660 0.000360219 80.60
3000 0.432 0.136 0.42 -0.35 -0.021 5.04 5.12 0.307 18.73 81.20 314.159 0.432 0.136 -2100 30720 0.000312791 81.20
3000 0.409 0.129 0.49 -0.28 -0.017 7.85 7.93 0.476 14.70 82.00 314.159 0.409 0.129 -1680 47580 0.00024549 82.00
3000 0.387 0.122 0.56 -0.21 -0.013 8.98 9.06 0.544 10.26 82.10 314.159 0.387 0.122 -1260 54360 0.000171342 82.10
3000 0.369 0.116 0.60 -0.17 -0.010 9.62 9.70 0.582 6.05 82.30 314.159 0.369 0.116 -1020 58200 0.000101035 82.30
3000 0.354 0.112 0.62 -0.15 -0.009 10.22 10.30 0.618 3.04 82.50 314.159 0.354 0.112 -900 61800 0.000050768 82.50
3000 0.348 0.111 0.64 -0.13 -0.008 10.77 10.85 0.651 0.00 83.00 314.159 0.348 0.111 -780 65100 0 83.00
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
5000 0.832 0.438 -0.10 -0.87 -0.052 3.85 3.93 0.236 36.25 82.10 523.599 0.832 0.438 -5220 23580 0.000605375 82.10
5000 0.807 0.424 0.04 -0.73 -0.044 13.73 13.81 0.829 31.03 83.00 523.599 0.807 0.424 -4380 82860 0.000518201 83.00
5000 0.771 0.405 0.23 -0.54 -0.032 18.84 18.92 1.135 25.94 83.10 523.599 0.771 0.405 -3240 113520 0.000433198 83.10
5000 0.736 0.386 0.36 -0.41 -0.025 23.51 23.59 1.415 20.29 82.90 523.599 0.736 0.386 -2460 141540 0.000338843 82.90
5000 0.700 0.369 0.49 -0.28 -0.017 24.48 24.56 1.474 15.69 82.40 523.599 0.700 0.369 -1680 147360 0.000262023 82.40
5000 0.670 0.354 0.56 -0.21 -0.013 25.67 25.75 1.545 10.67 82.50 523.599 0.670 0.354 -1260 154500 0.000178189 82.50
5000 0.647 0.340 0.62 -0.15 -0.009 27.09 27.17 1.630 6.48 82.50 523.599 0.647 0.340 -900 163020 0.000108216 82.50
5000 0.603 0.317 0.67 -0.10 -0.006 29.22 29.30 1.758 0.00 82.60 523.599 0.603 0.317 -600 175800 0 82.60
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
7000 1.357 0.993 -0.51 -1.28 -0.077 6.04 6.12 0.367 46.70 83.20 733.039 1.357 0.993 -7680 36720 0.00077989 83.20
7000 1.288 0.943 -0.23 -1.00 -0.060 34.25 34.33 2.060 39.17 83.80 733.039 1.288 0.943 -6000 205980 0.000654139 83.80
7000 1.219 0.896 0.07 -0.70 -0.042 43.29 43.37 2.602 31.82 83.90 733.039 1.219 0.896 -4200 260220 0.000531394 83.90
7000 1.168 0.856 0.23 -0.54 -0.032 46.95 47.03 2.822 26.60 84.10 733.0386 1.168 0.856 -3240 282180 0.00044422 84.10
7000 1.107 0.813 0.40 -0.37 -0.022 47.59 47.67 2.860 20.09 84.20 733.0386 1.107 0.813 -2220 286020 0.000335503 84.20
7000 1.066 0.783 0.50 -0.27 -0.016 49.62 49.70 2.982 15.57 84.30 733.0386 1.066 0.783 -1620 298200 0.000260019 84.30
7000 1.023 0.751 0.60 -0.17 -0.010 51.90 51.98 3.119 10.24 85.00 733.0386 1.023 0.751 -1020 311880 0.000171008 85.00
7000 0.981 0.721 0.65 -0.12 -0.007 54.02 54.10 3.246 5.53 85.10 733.0386 0.981 0.721 -720 324600 0.000092351 85.10
7000 0.884 0.648 0.71 -0.06 -0.004 56.65 56.73 3.404 0.00 85.00 733.0386 0.884 0.648 -360 340380 0 85.00
3.25mm Corrected Values
Performance No Back Pressure Room Temp
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C
0.000 0.000 0.000 0.000 0.000 0.000 0.000 2520 3120 0 23.60
104.720 0.512 0.180 0.332 0.053 0.028 0.025 2280 7380 0.00003674 22.90
209.440 0.833 0.202 0.631 0.174 0.042 0.132 1380 17340 0.000092518 22.50
314.159 1.803 0.205 1.598 0.341 0.063 0.278 -720 34920 0.000200233 24.10
418.879 1.457 0.208 1.249 0.608 0.086 0.522 -2640 52920 0.000315964 24.30
523.599 1.855 0.214 1.641 0.927 0.111 0.816 -5100 71760 0.00044589 24.40
628.319 2.270 0.216 2.054 1.418 0.136 1.282 -7860 89040 0.000578321 26.00
733.039 2.700 0.212 2.488 1.971 0.160 1.811 -10560 103560 0.000712923 28.00
Performance Flow Sweeps
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C
314.159 1.035 0.205 0.830 0.327 0.063 0.264 -660 34320 0.000228957 29.00 34980 0.079 855.802 0.066357835 0.001478164 264 3.03368025 0.00
314.159 1.008 0.205 0.803 0.318 0.063 0.255 -180 43920 0.000196559 29.20 44100 0.079 855.6706 0.083671524 0.001269 255 3.399314471 0.20
314.159 0.991 0.205 0.786 0.312 0.063 0.249 180 51000 0.000165664 29.40 50820 0.079 855.5392 0.09643628 0.001069539 249 3.381142361 0.40
314.159 0.972 0.205 0.767 0.307 0.063 0.244 720 57780 0.000125751 30.00 57060 0.079 855.145 0.108327247 0.000811858 244 2.940718057 1.00
314.159 0.955 0.205 0.750 0.301 0.063 0.238 1140 62460 0.000089679 30.10 61320 0.079 855.0793 0.116423715 0.000578974 238 2.310553059 1.10
314.159 0.930 0.205 0.725 0.294 0.063 0.231 1560 67080 0.000053273 30.50 65520 0.079 854.8165 0.124436186 0.000343935 231 1.511016 1.50
314.159 0.912 0.205 0.707 0.289 0.063 0.226 1800 69480 0.000037408 30.70 67680 0.079 854.6851 0.12855824 0.000241509 226 1.120253735 1.70
314.159 0.833 0.205 0.628 0.256 0.063 0.193 2220 74100 0 31.00 71880 0.079 854.488 0.136567639 0 193 0 2.00
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter Density p Delta P Q Power Efficiency Delta T
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C
523.599 1.780 0.214 1.566 0.934 0.111 0.823 -5100 68400 0.000479457 31.20 73500 0.079 854.3566 0.050280126 0.001857247 823 4.281906379 0.00
523.599 1.736 0.214 1.522 0.911 0.111 0.800 -3780 105840 0.000416832 32.00 109620 0.079 853.831 0.075035379 0.00161466 800 5.71164048 0.80
523.599 1.690 0.214 1.476 0.887 0.111 0.776 -2820 130440 0.000363893 32.10 133260 0.079 853.7653 0.091224084 0.001409593 776 6.249018193 0.90
523.599 1.638 0.214 1.424 0.861 0.111 0.750 -1680 150060 0.000303439 32.40 151740 0.079 853.5682 0.103898686 0.001175415 750 6.139177848 1.20
523.599 1.592 0.214 1.378 0.837 0.111 0.726 -840 162060 0.000250166 32.50 162900 0.079 853.5025 0.111548693 0.000969054 726 5.613228843 1.30
523.599 1.551 0.214 1.337 0.816 0.111 0.705 0 171600 0.000191215 32.90 171600 0.079 853.2397 0.117542366 0.000740699 705 4.654254468 1.70
523.599 1.513 0.214 1.299 0.797 0.111 0.686 540 177780 0.000152304 33.00 177240 0.079 853.174 0.121414996 0.000589972 686 3.935038041 1.80
523.599 1.468 0.214 1.254 0.773 0.111 0.662 1080 181860 0.00010688 33.40 180780 0.079 852.9112 0.123878165 0.000414015 662 2.918695831 2.20
523.599 1.381 0.214 1.167 0.730 0.111 0.619 1680 187800 0.000050267 34.00 186120 0.079 852.517 0.127596334 0.000194717 619 1.511420685 2.80
523.599 1.121 0.214 0.907 0.675 0.111 0.564 2160 193020 0 36.00 190860 0.079 851.203 0.131047872 0 564 0 4.80
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter Density p Delta P Q Power Efficiency Delta T
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C
733.039 2.666 0.212 2.454 1.952 0.160 1.792 -10080 99120 0.000727285 30.00 109200 0.079 855.145 0.038078077 0.002012318 1792 4.431892969 0.00
733.039 2.558 0.212 2.346 1.867 0.160 1.707 -3840 186720 0.000665829 32.90 190560 0.079 853.2397 0.066596717 0.001842276 1707 7.432945181 2.90
733.039 2.429 0.212 2.217 1.790 0.160 1.630 -1320 264300 0.000562957 34.10 265620 0.079 852.4513 0.092914464 0.00155764 1630 9.173781493 4.10
733.039 2.317 0.212 2.105 1.712 0.160 1.552 780 294000 0.000462757 35.20 293220 0.079 851.7286 0.102656035 0.001280398 1552 8.742887084 5.20
733.039 2.201 0.212 1.989 1.630 0.160 1.470 2700 317340 0.000348696 36.10 314640 0.079 851.1373 0.110231683 0.000964803 1470 7.463517649 6.10
733.039 2.103 0.212 1.891 1.557 0.160 1.397 4080 331380 0.000261689 37.20 327300 0.079 850.4146 0.114764462 0.000724065 1397 6.131052949 7.20
733.039 1.984 0.212 1.772 1.473 0.160 1.313 5220 348180 0.00016366 37.50 342960 0.079 850.2175 0.120283362 0.000452829 1313 4.274854044 7.50
733.039 1.863 0.212 1.651 1.380 0.160 1.220 5940 357900 0.000091683 37.80 351960 0.079 850.0204 0.123468477 0.000253677 1220 2.6449794 7.80
733.039 1.330 0.212 1.118 0.988 0.160 0.828 6600 373980 0 39.00 367380 0.079 849.232 0.128997498 0 828 0 9.00
Performance No Back Pressure 80 Deg C
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C
0.000 0.000 0.000 0.000 0.000 0.000 0.000 -240 2760 0 78.60
104.720 0.148 0.110 0.038 0.015 0.011 0.004 -480 5460 0.000111556 78.60
209.440 0.283 0.121 0.162 0.060 0.025 0.035 -1020 9840 0.000246826 78.00
314.159 0.454 0.125 0.329 0.143 0.039 0.104 -2040 14940 0.000379424 79.20
418.879 0.650 0.129 0.521 0.273 0.054 0.219 -3180 20160 0.000503672 81.10
523.599 0.873 0.131 0.742 0.458 0.069 0.389 -4620 25740 0.000604373 80.90
628.319 1.120 0.132 0.988 0.703 0.082 0.621 -5760 30960 0.00068971 80.80
733.039 1.389 0.131 1.258 1.014 0.090 0.924 -7380 36720 0.000772542 81.10
Performance Flow Sweeps
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C
314.159 0.457 0.125 0.332 0.142 0.039 0.103 -2460 12660 0.000360219 80.60 15120 0.079 821.9008 0.029866071 0.002325601 103 5.287875029 0.00
314.159 0.432 0.125 0.307 0.136 0.039 0.097 -2100 30720 0.000312791 81.20 32820 0.079 821.5066 0.064859444 0.002019403 97 10.58329961 0.60
314.159 0.409 0.125 0.284 0.129 0.039 0.090 -1680 47580 0.00024549 82.00 49260 0.079 820.981 0.097410776 0.001584902 90 13.436486 1.40
314.159 0.387 0.125 0.262 0.122 0.039 0.083 -1260 54360 0.000171342 82.10 55620 0.079 820.9153 0.109996365 0.001106197 83 11.48197836 1.50
314.159 0.369 0.125 0.244 0.116 0.039 0.077 -1020 58200 0.000101035 82.30 59220 0.079 820.7839 0.11713462 0.00065229 77 7.77051 1.70
314.159 0.354 0.125 0.229 0.112 0.039 0.073 -900 61800 0.000050768 82.50 62700 0.079 820.6525 0.124037768 0.000327762 73 4.360484384 1.90
314.159 0.348 0.125 0.223 0.111 0.039 0.072 -780 65100 0 83.00 65880 0.079 820.324 0.130380869 0 72 0 2.40
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C
523.599 0.832 0.131 0.701 0.438 0.069 0.369 -5220 23580 0.000605375 82.10 28800 0.079 820.9153 0.020504177 0.002345008 369 4.724878049 0.00
523.599 0.807 0.131 0.676 0.424 0.069 0.355 -4380 82860 0.000518201 83.00 87240 0.079 820.324 0.062155339 0.002007327 355 12.73460711 0.90
523.599 0.771 0.131 0.640 0.405 0.069 0.336 -3240 113520 0.000433198 83.10 116760 0.079 820.2583 0.083193932 0.001678056 336 15.0536305 1.00
523.599 0.736 0.131 0.605 0.386 0.069 0.317 -2460 141540 0.000338843 82.90 144000 0.079 820.3897 0.102586566 0.001312558 317 15.39223722 0.80
523.599 0.700 0.131 0.569 0.369 0.069 0.300 -1680 147360 0.000262023 82.40 149040 0.079 820.7182 0.106134598 0.001014984 300 13.01730264 0.30
523.599 0.670 0.131 0.539 0.354 0.069 0.285 -1260 154500 0.000178189 82.50 155760 0.079 820.6525 0.110928935 0.000690241 285 9.738497768 0.40
523.599 0.647 0.131 0.516 0.340 0.069 0.271 -900 163020 0.000108216 82.50 163920 0.079 820.6525 0.116740312 0.00041919 271 6.545670376 0.40
523.599 0.603 0.131 0.472 0.317 0.069 0.248 -600 175800 0 82.60 176400 0.079 820.5868 0.125638359 0 248 0 0.50
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C
733.039 1.357 0.131 1.226 0.993 0.090 0.903 -7680 36720 0.00077989 83.20 44400 0.079 820.1926 0.016142071 0.00215787 903 3.834675083 0.00
733.039 1.288 0.131 1.157 0.943 0.090 0.853 -6000 205980 0.000654139 83.80 211980 0.079 819.7984 0.07710454 0.001809931 853 16.25608268 0.60
733.039 1.219 0.131 1.088 0.896 0.090 0.806 -4200 260220 0.000531394 83.90 264420 0.079 819.7327 0.096186511 0.001470309 806 17.43315155 0.70
733.0386 1.168 0.131 1.037 0.856 0.090 0.766 -3240 282180 0.00044422 84.10 285420 0.079 819.6013 0.103842203 0.001229108 766 16.55212433 0.90
733.0386 1.107 0.131 0.976 0.813 0.090 0.723 -2220 286020 0.000335503 84.20 288240 0.079 819.5356 0.104876589 0.0009283 723 13.37557188 1.00
733.0386 1.066 0.131 0.935 0.783 0.090 0.693 -1620 298200 0.000260019 84.30 299820 0.079 819.4699 0.109098737 0.000719444 693 11.24948003 1.10
733.0386 1.023 0.131 0.892 0.751 0.090 0.661 -1020 311880 0.000171008 85.00 312900 0.079 819.01 0.113922233 0.00047316 661 8.095068563 1.80
733.0386 0.981 0.131 0.850 0.721 0.090 0.631 -720 324600 0.000092351 85.10 325320 0.079 818.9443 0.118453672 0.000255525 631 4.761272158 1.90
733.0386 0.884 0.131 0.753 0.648 0.090 0.558 -360 340380 0 85.00 340740 0.079 819.01 0.124058362 0 558 0 1.80
Appendix A II
Testing of existing impeller configurations
Design analysis of a centrifugal disc pump for automotive applications
"5!.
3.25mm Room Temp Pressure v Flow Rate
0
50000
100000
150000
200000
250000
300000
350000
400000
450000
500000
0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001
Flowrate m^3/s
PressureN/m^2
0
5
10
15
20
25
Efficiency%
3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency
3.25mm Room Temp Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.0005 0.001 0.0015 0.002 0.0025 0.003
Q/(ND^3)
deltaP/(pN^2D^2)
3000RPM 5000RPM 7000RPM
Appendix A III
Testing of existing impeller configurations
Design analysis of a centrifugal disc pump for automotive applications
"5!. 06
3.25mm 80 Deg C Pressure v Flowrate
0
50000
100000
150000
200000
250000
300000
350000
400000
450000
500000
0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001
Flowrate m^3/s
PressureN/m^2
0
5
10
15
20
25
Efficiency%
3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency
3.25mm 80 Deg C Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.0005 0.001 0.0015 0.002 0.0025 0.003
Q/(ND^3)
deltaP/(pN^2D^2)
3000RPM 5000RPM 7000RPM
Appendix A IV
Testing of existing impeller configurations
Design analysis of a centrifugal disc pump for automotive applications
!
2mm 2mm SI Units
Performance No Back Pressure Room Temp Performance No Back Pressure Room Temp
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
0 0.000 0.000 1.19 0.42 0.025 0.18 0.26 0.016 0.00 17.80 0.000 0.000 0.000 2520 1560 0 17.80
1000 0.752 0.079 1.08 0.31 0.019 0.97 1.05 0.063 2.20 16.80 104.720 0.752 0.079 1860 6300 0.00003674 16.80
2000 1.128 0.236 0.91 0.14 0.008 2.64 2.72 0.163 5.10 16.90 209.440 1.128 0.236 840 16320 0.00008517 16.90
3000 1.459 0.457 0.66 -0.11 -0.007 5.33 5.41 0.325 10.99 16.90 314.159 1.459 0.457 -660 32460 0.000183533 16.90
4000 1.925 0.807 0.25 -0.52 -0.031 9.28 9.36 0.562 19.67 17.40 418.879 1.925 0.807 -3120 56160 0.000328489 17.40
5000 2.488 1.301 -0.26 -1.03 -0.062 13.63 13.71 0.823 29.45 18.20 523.599 2.488 1.301 -6180 82260 0.000491815 18.20
6000 3.034 1.907 -0.79 -1.56 -0.094 18.14 18.22 1.093 36.96 20.10 628.319 3.034 1.907 -9360 109320 0.000617232 20.10
7000 3.556 2.602 -1.33 -2.10 -0.126 21.60 21.68 1.301 44.20 22.00 733.039 3.556 2.602 -12600 130080 0.00073814 22.00
Performance Flow Sweeps Performance Flow Sweeps
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
3000 1.307 0.410 0.56 -0.21 -0.013 5.50 5.58 0.335 10.89 25.40 314.159 1.307 0.410 -1260 33480 0.000181863 25.40
3000 1.292 0.407 0.62 -0.15 -0.009 6.41 6.49 0.389 9.82 24.00 314.159 1.292 0.407 -900 38940 0.000163994 24.00
3000 1.269 0.399 0.70 -0.07 -0.004 7.72 7.80 0.468 7.99 25.20 314.159 1.269 0.399 -420 46800 0.000133433 25.20
3000 1.253 0.394 0.76 -0.01 -0.001 8.53 8.61 0.517 6.74 25.40 314.159 1.253 0.394 -60 51660 0.000112558 25.40
3000 1.224 0.386 0.84 0.07 0.004 9.62 9.70 0.582 4.81 25.90 314.159 1.224 0.386 420 58200 0.000080327 25.90
3000 1.206 0.382 0.92 0.15 0.009 10.64 10.72 0.643 2.92 26.00 314.159 1.206 0.382 900 64320 0.000048764 26.00
3000 1.095 0.302 1.05 0.28 0.017 12.45 12.53 0.752 0.00 26.40 314.159 1.095 0.302 1680 75180 0 26.40
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
5000 2.118 1.110 -0.28 -1.05 -0.063 11.73 11.81 0.709 30.50 31.20 523.599 2.118 1.110 -6300 70860 0.00050935 31.20
5000 2.059 1.081 -0.15 -0.92 -0.055 15.67 15.75 0.945 28.15 31.00 523.599 2.059 1.081 -5520 94500 0.000470105 31.00
5000 2.000 1.055 0.03 -0.74 -0.044 20.58 20.66 1.240 24.97 31.40 523.599 2.000 1.055 -4440 123960 0.000416999 31.40
5000 1.958 1.034 0.21 -0.56 -0.034 23.87 23.95 1.437 21.69 31.80 523.599 1.958 1.034 -3360 143700 0.000362223 31.80
5000 1.898 1.001 0.40 -0.37 -0.022 27.25 27.33 1.640 17.66 32.40 523.599 1.898 1.001 -2220 163980 0.000294922 32.40
5000 1.821 0.964 0.63 -0.14 -0.008 30.21 30.29 1.817 12.27 32.80 523.599 1.821 0.964 -840 181740 0.000204909 32.80
5000 1.756 0.933 0.75 -0.02 -0.001 31.67 31.75 1.905 8.76 32.90 523.599 1.756 0.933 -120 190500 0.000146292 32.90
5000 1.646 0.874 0.87 0.10 0.006 32.78 32.86 1.972 4.43 33.40 523.599 1.646 0.874 600 197160 0.000073981 33.40
5000 1.570 0.834 0.92 0.15 0.009 33.40 33.48 2.009 2.80 34.00 523.599 1.570 0.834 900 200880 0.00004676 34.00
5000 1.143 0.610 1.00 0.23 0.014 34.71 34.79 2.087 0.00 34.20 523.599 1.143 0.610 1380 208740 0 34.20
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
7000 2.939 2.150 -1.12 -1.89 -0.113 16.55 16.63 0.998 45.89 33.20 733.039 2.939 2.150 -11340 99780 0.000766363 33.20
7000 2.822 2.070 -0.84 -1.61 -0.097 33.00 33.08 1.985 42.27 34.50 733.039 2.822 2.070 -9660 198480 0.000705909 34.50
7000 2.702 1.983 -0.47 -1.24 -0.074 44.67 44.75 2.685 37.07 35.90 733.039 2.702 1.983 -7440 268500 0.000619069 35.90
7000 2.559 1.880 -0.09 -0.86 -0.052 52.45 52.53 3.152 30.52 37.10 733.039 2.559 1.880 -5160 315180 0.000509684 37.10
7000 2.450 1.801 0.18 -0.59 -0.035 56.39 56.47 3.388 25.31 38.20 733.039 2.450 1.801 -3540 338820 0.000422677 38.20
7000 2.335 1.717 0.43 -0.34 -0.020 58.12 58.20 3.492 19.61 38.30 733.039 2.335 1.717 -2040 349200 0.000327487 38.30
7000 2.210 1.629 0.64 -0.13 -0.008 61.45 61.53 3.692 13.76 39.00 733.039 2.210 1.629 -780 369180 0.000229792 39.00
7000 2.000 1.481 0.86 0.09 0.005 63.46 63.54 3.812 6.27 39.20 733.039 2.000 1.481 540 381240 0.000104709 39.20
7000 1.325 0.983 0.98 0.21 0.013 66.70 66.78 4.007 0.00 39.80 733.039 1.325 0.983 1260 400680 0 39.80
Performance No Back Pressure 80 Deg C Performance No Back Pressure 80 Deg C
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
0 0.000 0.000 0.81 0.04 0.002 0.41 0.49 0.029 0.00 78.60 0.000 0.000 0.000 240 2940 0 78.60
1000 0.105 0.013 0.72 -0.05 -0.003 0.79 0.87 0.052 6.71 78.80 104.720 0.105 0.013 -300 5220 0.000112057 78.80
2000 0.294 0.062 0.58 -0.19 -0.011 1.64 1.72 0.103 15.50 79.20 209.440 0.294 0.062 -1140 10320 0.00025885 79.20
3000 0.545 0.170 0.35 -0.42 -0.025 2.34 2.42 0.145 24.18 79.50 314.159 0.545 0.170 -2520 14520 0.000403806 79.50
4000 0.694 0.277 0.18 -0.59 -0.035 3.57 3.65 0.219 31.53 79.90 418.879 0.694 0.277 -3540 21900 0.000526551 79.90
5000 0.996 0.522 0.11 -0.66 -0.040 4.64 4.72 0.283 38.92 80.10 523.599 0.996 0.522 -3960 28320 0.000649964 80.10
6000 1.211 0.725 -0.26 -1.03 -0.062 5.43 5.51 0.331 42.59 80.30 628.319 1.211 0.725 -6180 33060 0.000711253 80.30
7000 1.574 1.150 -0.60 -1.37 -0.082 7.80 7.88 0.473 48.23 80.40 733.039 1.574 1.150 -8220 47280 0.000805441 80.40
Performance Flow Sweeps Performance Flow Sweeps
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
3000 0.545 0.170 0.35 -0.42 -0.025 2.33 2.41 0.145 24.44 80.20 314.159 0.545 0.170 -2520 14460 0.000408148 80.20
3000 0.518 0.163 0.41 -0.36 -0.022 5.48 5.56 0.334 21.51 81.20 314.159 0.518 0.163 -2160 33360 0.000359217 81.20
3000 0.510 0.160 0.46 -0.31 -0.019 7.87 7.95 0.477 18.66 81.10 314.159 0.510 0.160 -1860 47700 0.000311622 81.10
3000 0.477 0.150 0.56 -0.21 -0.013 10.22 10.30 0.618 12.76 80.60 314.159 0.477 0.150 -1260 61800 0.000213092 80.60
3000 0.450 0.142 0.65 -0.12 -0.007 10.95 11.03 0.662 7.34 80.20 314.159 0.450 0.142 -720 66180 0.000122578 80.20
3000 0.440 0.139 0.69 -0.08 -0.005 11.58 11.66 0.700 2.40 79.90 314.159 0.440 0.139 -480 69960 0.00004008 79.90
3000 0.429 0.137 0.70 -0.07 -0.004 12.05 12.13 0.728 0.00 79.40 314.159 0.429 0.137 -420 72780 0 79.40
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
5000 0.997 0.523 0.10 -0.67 -0.040 4.67 4.75 0.285 38.61 79.60 523.599 0.997 0.523 -4020 28500 0.000644787 79.60
5000 0.968 0.507 0.11 -0.66 -0.040 18.61 18.69 1.121 32.98 79.80 523.599 0.968 0.507 -3960 112140 0.000550766 79.80
5000 0.931 0.487 0.24 -0.53 -0.032 24.07 24.15 1.449 27.89 79.80 523.599 0.931 0.487 -3180 144900 0.000465763 79.80
5000 0.866 0.465 0.42 -0.35 -0.021 28.40 28.48 1.709 21.03 79.60 523.599 0.866 0.465 -2100 170880 0.000351201 79.60
5000 0.816 0.431 0.55 -0.22 -0.013 29.56 29.64 1.778 15.66 79.40 523.599 0.816 0.431 -1320 177840 0.000261522 79.40
5000 0.776 0.408 0.65 -0.12 -0.007 30.31 30.39 1.823 9.82 79.40 523.599 0.776 0.408 -720 182340 0.000163994 79.40
5000 0.739 0.389 0.71 -0.06 -0.004 31.47 31.55 1.893 4.63 79.40 523.599 0.739 0.389 -360 189300 0.000077321 79.40
5000 0.687 0.362 0.73 -0.04 -0.002 32.68 32.76 1.966 0.00 79.60 523.599 0.687 0.362 -240 196560 0 79.60
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
7000 1.575 1.150 -0.56 -1.33 -0.080 7.65 7.73 0.464 49.48 78.70 733.039 1.575 1.150 -7980 46380 0.000826316 78.70
7000 1.485 1.093 -0.26 -1.03 -0.062 38.65 38.73 2.324 42.02 79.10 733.039 1.485 1.093 -6180 232380 0.000701734 79.10
7000 1.424 1.048 -0.04 -0.81 -0.049 47.15 47.23 2.834 36.74 79.10 733.039 1.424 1.048 -4860 283380 0.000613558 79.10
7000 1.350 0.946 0.17 -0.60 -0.036 53.78 53.86 3.232 30.28 79.20 733.039 1.350 0.946 -3600 323160 0.000505676 79.20
7000 1.283 0.922 0.36 -0.41 -0.025 56.10 56.18 3.371 24.49 79.30 733.0386 1.283 0.922 -2460 337080 0.000408983 79.30
7000 1.220 0.901 0.48 -0.29 -0.017 57.00 57.08 3.425 18.95 79.40 733.0386 1.220 0.901 -1740 342480 0.000316465 79.40
7000 1.155 0.856 0.62 -0.15 -0.009 59.70 59.78 3.587 12.25 79.50 733.0386 1.155 0.856 -900 358680 0.000204575 79.50
7000 1.102 0.810 0.67 -0.10 -0.006 61.40 61.48 3.689 6.16 80.10 733.0386 1.102 0.810 -600 368880 0.000102872 80.10
7000 0.979 0.721 0.72 -0.05 -0.003 63.64 63.72 3.823 0.00 80.70 733.0386 0.979 0.721 -300 382320 0 80.70
2mm Corrected Values
Performance No Back Pressure Room Temp
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C
0.000 0.000 0.000 0.000 0.000 0.000 0.000 2520 1560 0 17.80
104.720 0.752 0.180 0.572 0.079 0.028 0.051 1860 6300 0.00003674 16.80
209.440 1.128 0.202 0.926 0.236 0.042 0.194 840 16320 0.00008517 16.90
314.159 1.459 0.205 1.254 0.457 0.063 0.394 -660 32460 0.000183533 16.90
418.879 1.925 0.208 1.717 0.807 0.086 0.721 -3120 56160 0.000328489 17.40
523.599 2.488 0.214 2.274 1.301 0.111 1.190 -6180 82260 0.000491815 18.20
628.319 3.034 0.216 2.818 1.907 0.136 1.771 -9360 109320 0.000617232 20.10
733.039 3.556 0.212 3.344 2.602 0.160 2.442 -12600 130080 0.00073814 22.00
Performance Flow Sweeps
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C
314.159 1.307 0.205 1.102 0.410 0.063 0.347 -1260 33480 0.000181863 25.40 34740 0.079 858.1672 0.065720915 0.001174121 347 1.820726403 0.00
314.159 1.292 0.205 1.087 0.407 0.063 0.344 -900 38940 0.000163994 24.00 39840 0.079 859.087 0.075288368 0.001058758 344 1.899279349 -1.40
314.159 1.269 0.205 1.064 0.399 0.063 0.336 -420 46800 0.000133433 25.20 47220 0.079 858.2986 0.089316825 0.000861454 336 1.875210196 -0.20
314.159 1.253 0.205 1.048 0.394 0.063 0.331 -60 51660 0.000112558 25.40 51720 0.079 858.1672 0.097843573 0.000726683 331 1.758761257 0.00
314.159 1.224 0.205 1.019 0.386 0.063 0.323 420 58200 0.000080327 25.90 57780 0.079 857.8387 0.109349702 0.000518597 323 1.436933146 0.50
314.159 1.206 0.205 1.001 0.382 0.063 0.319 900 64320 0.000048764 26.00 63420 0.079 857.773 0.120032697 0.000314824 319 0.969471122 0.60
314.159 1.095 0.205 0.890 0.302 0.063 0.239 1680 75180 0 26.40 73500 0.079 857.5102 0.139153375 0 239 0 1.00
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C
523.599 2.118 0.214 1.904 1.110 0.111 0.999 -6300 70860 0.00050935 31.20 77160 0.079 854.3566 0.052783871 0.001973042 999 3.934078679 0.00
523.599 2.059 0.214 1.845 1.081 0.111 0.970 -5520 94500 0.000470105 31.00 100020 0.079 854.488 0.068411495 0.00182102 970 4.847412588 -0.20
523.599 2.000 0.214 1.786 1.055 0.111 0.944 -4440 123960 0.000416999 31.40 128400 0.079 854.2252 0.087849814 0.001615306 944 5.671893178 0.20
523.599 1.958 0.214 1.744 1.034 0.111 0.923 -3360 143700 0.000362223 31.80 147060 0.079 853.9624 0.100647737 0.001403124 923 5.771236661 0.60
523.599 1.898 0.214 1.684 1.001 0.111 0.890 -2220 163980 0.000294922 32.40 166200 0.079 853.5682 0.113799667 0.001142423 890 5.50741982 1.20
523.599 1.821 0.214 1.607 0.964 0.111 0.853 -840 181740 0.000204909 32.80 182580 0.079 853.3054 0.125053805 0.000793745 853 4.385965442 1.60
523.599 1.756 0.214 1.542 0.933 0.111 0.822 -120 190500 0.000146292 32.90 190620 0.079 853.2397 0.130570664 0.000566683 822 3.392479445 1.70
523.599 1.646 0.214 1.432 0.874 0.111 0.763 600 197160 0.000073981 33.40 196560 0.079 852.9112 0.134691294 0.000286576 763 1.905859156 2.20
523.599 1.570 0.214 1.356 0.834 0.111 0.723 900 200880 0.00004676 34.00 199980 0.079 852.517 0.137098189 0.000181132 723 1.293369959 2.80
523.599 1.143 0.214 0.929 0.610 0.111 0.499 1380 208740 0 34.20 207360 0.079 852.3856 0.142179532 0 499 0 3.00
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C
733.039 2.939 0.212 2.727 2.150 0.160 1.990 -11340 99780 0.000766363 33.20 111120 0.079 853.0426 0.038843078 0.002120442 1990 4.279309375 0.00
733.039 2.822 0.212 2.610 2.070 0.160 1.910 -9660 198480 0.000705909 34.50 208140 0.079 852.1885 0.072830285 0.001953173 1910 7.692560171 1.30
733.039 2.702 0.212 2.490 1.983 0.160 1.823 -7440 268500 0.000619069 35.90 275940 0.079 851.2687 0.096658516 0.001712896 1823 9.370592422 2.70
733.039 2.559 0.212 2.347 1.880 0.160 1.720 -5160 315180 0.000509684 37.10 320340 0.079 850.4803 0.112315331 0.00141024 1720 9.492568172 3.90
733.039 2.450 0.212 2.238 1.801 0.160 1.641 -3540 338820 0.000422677 38.20 342360 0.079 849.7576 0.120137915 0.001169501 1641 8.818263115 5.00
733.039 2.335 0.212 2.123 1.717 0.160 1.557 -2040 349200 0.000327487 38.30 351240 0.079 849.6919 0.123263535 0.00090612 1557 7.387702882 5.10
733.039 2.210 0.212 1.998 1.629 0.160 1.469 -780 369180 0.000229792 39.00 369960 0.079 849.232 0.129903409 0.000635809 1469 5.787191853 5.80
733.039 2.000 0.212 1.788 1.481 0.160 1.321 540 381240 0.000104709 39.20 380700 0.079 849.1006 0.133695213 0.000289718 1321 3.017616677 6.00
733.039 1.325 0.212 1.113 0.983 0.160 0.823 1260 400680 0 39.80 399420 0.079 848.7064 0.140334503 0 823 0 6.60
Performance No Back Pressure 80 Deg C
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C
0.000 0.000 0.000 0.000 0.000 0.000 0.000 240 2940 0 78.60
104.720 0.105 0.110 -0.005 0.013 0.011 0.002 -300 5220 0.000112057 78.80
209.440 0.294 0.121 0.173 0.062 0.025 0.037 -1140 10320 0.00025885 79.20
314.159 0.545 0.125 0.420 0.170 0.039 0.131 -2520 14520 0.000403806 79.50
418.879 0.694 0.129 0.565 0.277 0.054 0.223 -3540 21900 0.000526551 79.90
523.599 0.996 0.131 0.865 0.522 0.069 0.453 -3960 28320 0.000649964 80.10
628.319 1.211 0.132 1.079 0.725 0.082 0.643 -6180 33060 0.000711253 80.30
733.039 1.574 0.131 1.443 1.150 0.090 1.060 -8220 47280 0.000805441 80.40
Performance Flow Sweeps
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C
314.159 0.545 0.125 0.420 0.170 0.039 0.131 -2520 14460 0.000408148 80.20 16980 0.079 822.1636 0.03352935 0.002635035 131 5.290345832 0.00
314.159 0.518 0.125 0.393 0.163 0.039 0.124 -2160 33360 0.000359217 81.20 35520 0.079 821.5066 0.07019523 0.002319132 124 10.2898289 1.00
314.159 0.510 0.125 0.385 0.160 0.039 0.121 -1860 47700 0.000311622 81.10 49560 0.079 821.5723 0.097933485 0.002011855 121 12.76362506 0.90
314.159 0.477 0.125 0.352 0.150 0.039 0.111 -1260 61800 0.000213092 80.60 63060 0.079 821.9008 0.124560477 0.001375738 111 12.1059293 0.40
314.159 0.450 0.125 0.325 0.142 0.039 0.103 -720 66180 0.000122578 80.20 66900 0.079 822.1636 0.132103271 0.000791373 103 7.961619612 0.00
314.159 0.440 0.125 0.315 0.139 0.039 0.100 -480 69960 0.00004008 79.90 70440 0.079 822.3607 0.139060152 0.00025876 100 2.8232352 -0.30
314.159 0.429 0.125 0.304 0.137 0.039 0.098 -420 72780 0 79.40 73200 0.079 822.6892 0.144451144 0 98 0 -0.80
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C
523.599 0.997 0.131 0.866 0.523 0.069 0.454 -4020 28500 0.000644787 79.60 32520 0.079 822.5578 0.023106401 0.002497677 454 4.618606441 0.00
523.599 0.968 0.131 0.837 0.507 0.069 0.438 -3960 112140 0.000550766 79.80 116100 0.079 822.4264 0.082505591 0.002133472 438 14.59907137 0.20
523.599 0.931 0.131 0.800 0.487 0.069 0.418 -3180 144900 0.000465763 79.80 148080 0.079 822.4264 0.105231937 0.001804201 418 16.50004427 0.20
523.599 0.866 0.131 0.735 0.465 0.069 0.396 -2100 170880 0.000351201 79.60 172980 0.079 822.5578 0.122907297 0.001360428 396 15.34109823 0.00
523.599 0.816 0.131 0.685 0.431 0.069 0.362 -1320 177840 0.000261522 79.40 179160 0.079 822.6892 0.127278034 0.001013044 362 12.94317169 -0.20
523.599 0.776 0.131 0.645 0.408 0.069 0.339 -720 182340 0.000163994 79.40 183060 0.079 822.6892 0.130048654 0.000635255 339 8.855676 -0.20
523.599 0.739 0.131 0.608 0.389 0.069 0.320 -360 189300 0.000077321 79.40 189660 0.079 822.6892 0.134737396 0.000299514 320 4.582719019 -0.20
523.599 0.687 0.131 0.556 0.362 0.069 0.293 -240 196560 0 79.60 196800 0.079 822.5578 0.139832097 0 293 0 0.00
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C
733.039 1.575 0.131 1.444 1.150 0.090 1.060 -7980 46380 0.000826316 78.70 54360 0.079 823.1491 0.019692147 0.002286325 1060 4.237597902 0.00
733.039 1.485 0.131 1.354 1.093 0.090 1.003 -6180 232380 0.000701734 79.10 238560 0.079 822.8863 0.086446999 0.001941621 1003 16.69049482 0.40
733.039 1.424 0.131 1.293 1.048 0.090 0.958 -4860 283380 0.000613558 79.10 288240 0.079 822.8863 0.104449544 0.001697647 958 18.46053841 0.40
733.039 1.350 0.131 1.219 0.946 0.090 0.856 -3600 323160 0.000505676 79.20 326760 0.079 822.8206 0.118417492 0.00139915 856 19.30311796 0.50
733.0386 1.283 0.131 1.152 0.922 0.090 0.832 -2460 337080 0.000408983 79.30 339540 0.079 822.7549 0.123058777 0.001131611 832 16.69063556 0.60
733.0386 1.220 0.131 1.089 0.901 0.090 0.811 -1740 342480 0.000316465 79.40 344220 0.079 822.6892 0.124764903 0.000875624 811 13.43200768 0.70
733.0386 1.155 0.131 1.024 0.856 0.090 0.766 -900 358680 0.000204575 79.50 359580 0.079 822.6235 0.13034265 0.000566037 766 9.603273956 0.80
733.0386 1.102 0.131 0.971 0.810 0.090 0.720 -600 368880 0.000102872 80.10 369480 0.079 822.2293 0.13399547 0.000284636 720 5.279048133 1.40
733.0386 0.979 0.131 0.848 0.721 0.090 0.631 -300 382320 0 80.70 382620 0.079 821.8351 0.138827375 0 631 0 2.00
Appendix A V
Testing of existing impeller configurations
Design analysis of a centrifugal disc pump for automotive applications
!
2mm Room Temp Pressure v Flowrate
0
50000
100000
150000
200000
250000
300000
350000
400000
450000
500000
0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001
Flowrate m^3/s
PressureN/m^2
0
5
10
15
20
25
Efficiency%
3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency
2mm Room Temp Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.0005 0.001 0.0015 0.002 0.0025 0.003
Q/(ND^3)
deltaP/(pN^2D^2)
3000RPM 5000RPM 7000RPM
Appendix A VI
Testing of existing impeller configurations
Design analysis of a centrifugal disc pump for automotive applications
! 06
2mm 80 Deg C Pressure v Flowrate
0
50000
100000
150000
200000
250000
300000
350000
400000
450000
500000
0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001
Flowrate m^3/s
PressureN/m^2
0
5
10
15
20
25
Efficiency%
3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency
2mm 80 Deg C Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.0005 0.001 0.0015 0.002 0.0025 0.003
Q/(ND^3)
deltaP/(pN^2D^2)
3000RPM 5000RPM 7000RPM
Appendix A VII
Testing of existing impeller configurations
Design analysis of a centrifugal disc pump for automotive applications
1mm 1mm SI Units
Performance No Back Pressure Room Temp Performance No Back Pressure Room Temp
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
0 0.000 0.000 1.19 0.42 0.025 0.25 0.33 0.020 0.00 18.70 0.000 0.000 0.000 2520 1980 0 18.70
1000 0.678 0.072 1.15 0.38 0.023 1.00 1.08 0.065 2.20 18.40 104.720 0.678 0.072 2280 6480 0.00003674 18.40
2000 1.003 0.207 1.02 0.25 0.015 2.04 2.12 0.127 6.20 18.40 209.440 1.003 0.207 1500 12720 0.00010354 18.40
3000 1.200 0.375 0.99 0.22 0.013 2.41 2.49 0.149 10.01 19.40 314.159 1.200 0.375 1320 14940 0.000167167 19.40
4000 1.456 0.614 0.76 -0.01 -0.001 4.60 4.68 0.281 18.07 19.60 418.879 1.456 0.614 -60 28080 0.000301769 19.60
5000 2.080 1.108 0.04 -0.73 -0.044 11.28 11.36 0.682 28.92 20.20 523.599 2.080 1.108 -4380 68160 0.000482964 20.20
6000 2.714 1.714 -0.65 -1.42 -0.085 16.28 16.36 0.982 35.21 22.10 628.319 2.714 1.714 -8520 98160 0.000588007 22.10
7000 3.250 2.365 -1.24 -2.01 -0.121 20.08 20.16 1.210 48.02 22.40 733.039 3.250 2.365 -12060 120960 0.000801934 22.40
Performance Flow Sweeps Performance Flow Sweeps
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
3000 1.107 0.347 0.69 -0.08 -0.005 4.84 4.92 0.295 10.14 24.10 314.159 1.107 0.347 -480 29520 0.000169338 24.10
3000 1.089 0.342 0.74 -0.03 -0.002 5.85 5.93 0.356 8.99 24.70 314.159 1.089 0.342 -180 35580 0.000150133 24.70
3000 1.072 0.377 0.80 0.03 0.002 7.28 7.36 0.442 7.18 25.20 314.159 1.072 0.377 180 44160 0.000119906 25.20
3000 1.058 0.333 0.88 0.11 0.007 8.58 8.66 0.520 5.31 25.40 314.159 1.058 0.333 660 51960 0.000088677 25.40
3000 1.045 0.328 0.98 0.21 0.013 10.14 10.22 0.613 3.09 25.60 314.159 1.045 0.328 1260 61320 0.000051603 25.60
3000 0.990 0.305 1.10 0.33 0.020 12.92 13.00 0.780 0.00 25.90 314.159 0.990 0.305 1980 78000 0 25.90
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
5000 2.022 1.062 -0.12 -0.89 -0.053 11.60 11.68 0.701 28.09 27.20 523.599 2.022 1.062 -5340 70080 0.000469103 27.20
5000 1.984 1.039 0.02 -0.75 -0.045 15.47 15.55 0.933 24.84 28.10 523.599 1.984 1.039 -4500 93300 0.000414828 28.10
5000 1.901 0.998 0.29 -0.48 -0.029 22.23 22.31 1.339 19.90 28.20 523.599 1.901 0.998 -2880 133860 0.00033233 28.20
5000 1.825 0.974 0.49 -0.28 -0.017 26.22 26.30 1.578 16.00 28.50 523.599 1.825 0.974 -1680 157800 0.0002672 28.50
5000 1.777 0.943 0.73 -0.04 -0.002 30.24 30.32 1.819 10.18 28.90 523.599 1.777 0.943 -240 181920 0.000170006 28.90
5000 1.709 0.901 0.86 0.09 0.005 32.17 32.25 1.935 6.80 29.00 523.599 1.709 0.901 540 193500 0.00011356 29.00
5000 1.545 0.818 1.00 0.23 0.014 34.30 34.38 2.063 2.76 29.40 523.599 1.545 0.818 1380 206280 0.000046092 29.40
5000 1.303 0.679 1.08 0.31 0.019 36.00 36.08 2.165 0.00 30.20 523.599 1.303 0.679 1860 216480 0 30.20
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
7000 3.062 2.245 -1.22 -1.99 -0.119 18.41 18.49 1.109 45.11 24.00 733.039 3.062 2.245 -11940 110940 0.000753337 24.00
7000 2.913 2.141 -0.70 -1.47 -0.088 40.82 40.90 2.454 38.64 26.10 733.039 2.913 2.141 -8820 245400 0.000645288 26.10
7000 2.748 2.020 -0.17 -0.94 -0.056 52.66 52.74 3.164 30.89 27.20 733.039 2.748 2.020 -5640 316440 0.000515863 27.20
7000 2.615 1.924 0.11 -0.66 -0.040 57.00 57.08 3.425 26.14 28.90 733.039 2.615 1.924 -3960 342480 0.000436538 28.90
7000 2.454 1.809 0.50 -0.27 -0.016 62.48 62.56 3.754 18.02 30.20 733.039 2.454 1.809 -1620 375360 0.000300934 30.20
7000 2.308 1.710 0.74 -0.03 -0.002 64.62 64.70 3.882 11.91 32.30 733.039 2.308 1.710 -180 388200 0.000198897 32.30
7000 2.160 1.599 0.90 0.13 0.008 66.78 66.86 4.012 6.79 34.10 733.039 2.160 1.599 780 401160 0.000113393 34.10
7000 1.557 1.113 1.06 0.29 0.017 71.14 71.22 4.273 0.00 37.30 733.039 1.557 1.113 1740 427320 0 37.30
Performance No Back Pressure 80 Deg C Performance No Back Pressure 80 Deg C
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
0 0.000 0.000 1.67 0.90 0.054 0.38 0.46 0.028 0.00 77.40 0.000 0.000 0.000 5400 2760 0 77.40
1000 0.178 0.018 0.72 -0.05 -0.003 0.77 0.85 0.051 6.76 77.40 104.720 0.178 0.018 -300 5100 0.000112892 77.40
2000 0.335 0.071 0.57 -0.20 -0.012 1.63 1.71 0.103 16.40 78.00 209.440 0.335 0.071 -1200 10260 0.00027388 78.00
3000 0.538 0.169 0.37 -0.40 -0.024 2.79 2.87 0.172 25.54 78.80 314.159 0.538 0.169 -2400 17220 0.000426518 78.80
4000 0.775 0.325 0.13 -0.64 -0.038 3.97 4.05 0.243 33.38 79.00 418.879 0.775 0.325 -3840 24300 0.000557446 79.00
5000 1.035 0.541 -0.10 -0.87 -0.052 4.91 4.99 0.299 39.60 79.40 523.599 1.035 0.541 -5220 29940 0.00066132 79.40
6000 1.320 0.830 -0.31 -1.08 -0.065 5.89 5.97 0.358 44.81 79.80 628.319 1.320 0.830 -6480 35820 0.000748327 79.80
7000 1.645 1.208 -0.60 -1.37 -0.082 7.39 7.47 0.448 50.85 79.80 733.039 1.645 1.208 -8220 44820 0.000849195 79.80
Performance Flow Sweeps Performance Flow Sweeps
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
3000 0.553 0.173 0.38 -0.39 -0.023 2.56 2.64 0.158 26.02 79.60 314.159 0.553 0.173 -2340 15840 0.000434534 79.60
3000 0.516 0.163 0.48 -0.29 -0.017 7.90 7.98 0.479 20.52 79.60 314.159 0.516 0.163 -1740 47880 0.000342684 79.60
3000 0.494 0.155 0.55 -0.22 -0.013 10.17 10.25 0.615 16.10 79.70 314.159 0.494 0.155 -1320 61500 0.00026887 79.70
3000 0.463 0.146 0.63 -0.14 -0.008 11.47 11.55 0.693 10.20 79.90 314.159 0.463 0.146 -840 69300 0.00017034 79.90
3000 0.449 0.142 0.66 -0.11 -0.007 11.62 11.70 0.702 7.57 80.00 314.159 0.449 0.142 -660 70200 0.000126419 80.00
3000 0.431 0.133 0.70 -0.07 -0.004 12.21 12.29 0.737 2.90 80.20 314.159 0.431 0.133 -420 73740 0.00004843 80.20
3000 0.423 0.127 0.72 -0.05 -0.003 12.72 12.80 0.768 0.00 80.10 314.159 0.423 0.127 -300 76800 0 80.10
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
5000 1.005 0.526 -0.16 -0.93 -0.056 4.75 4.83 0.290 40.31 82.00 523.599 1.005 0.526 -5580 28980 0.000673177 82.00
5000 0.961 0.506 0.00 -0.77 -0.046 19.89 19.97 1.198 35.55 82.30 523.599 0.961 0.506 -4620 119820 0.000593685 82.30
5000 0.920 0.486 0.16 -0.61 -0.037 27.03 27.11 1.627 29.88 83.10 523.599 0.920 0.486 -3660 162660 0.000498996 83.10
5000 0.875 0.463 0.31 -0.46 -0.028 30.56 30.64 1.838 24.49 83.80 523.599 0.875 0.463 -2760 183840 0.000408983 83.80
5000 0.797 0.422 0.51 -0.26 -0.016 33.01 33.09 1.985 15.42 83.70 523.599 0.797 0.422 -1560 198540 0.000257514 83.70
5000 0.767 0.405 0.60 -0.17 -0.010 33.29 33.37 2.002 11.34 83.60 523.599 0.767 0.405 -1020 200220 0.000189378 83.60
5000 0.734 0.390 0.65 -0.12 -0.007 33.82 33.90 2.034 7.21 83.80 523.599 0.734 0.390 -720 203400 0.000120407 83.80
5000 0.693 0.364 0.71 -0.06 -0.004 35.84 35.92 2.155 0.00 83.90 523.599 0.693 0.364 -360 215520 0 83.90
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
7000 1.688 1.226 -0.62 -1.39 -0.083 7.85 7.93 0.476 50.23 79.60 733.039 1.688 1.226 -8340 47580 0.000838841 79.60
7000 1.544 1.139 -0.28 -1.05 -0.063 42.60 42.68 2.561 44.58 79.60 733.039 1.544 1.139 -6300 256080 0.000744486 79.60
7000 1.499 1.097 0.00 -0.77 -0.046 56.65 56.73 3.404 37.38 79.70 733.039 1.499 1.097 -4620 340380 0.000624246 79.70
7000 1.402 1.034 0.28 -0.49 -0.029 60.68 60.76 3.646 29.61 80.10 733.039 1.402 1.034 -2940 364560 0.000494487 80.10
7000 1.310 0.966 0.51 -0.26 -0.016 64.45 64.53 3.872 21.69 80.30 733.039 1.310 0.966 -1560 387180 0.000362223 80.30
7000 1.249 0.922 0.62 -0.15 -0.009 65.36 65.44 3.926 15.79 80.70 733.039 1.249 0.922 -900 392640 0.000263693 80.70
7000 1.147 0.854 0.76 -0.01 -0.001 67.60 67.68 4.061 6.89 81.40 733.039 1.147 0.854 -60 406080 0.000115063 81.40
7000 1.060 0.779 0.79 0.02 0.001 70.21 70.29 4.217 0.00 81.90 733.039 1.060 0.779 120 421740 0 81.90
1mm Corrected Values
Performance No Back Pressure Room Temp
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C
0.000 0.000 0.000 0.000 0.000 0.000 0.000 2520 1980 0 18.70
104.720 0.678 0.180 0.498 0.072 0.028 0.044 2280 6480 0.00003674 18.40
209.440 1.003 0.202 0.801 0.207 0.042 0.165 1500 12720 0.00010354 18.40
314.159 1.200 0.205 0.995 0.375 0.063 0.312 1320 14940 0.000167167 19.40
418.879 1.456 0.208 1.248 0.614 0.086 0.528 -60 28080 0.000301769 19.60
523.599 2.080 0.214 1.866 1.108 0.111 0.997 -4380 68160 0.000482964 20.20
628.319 2.714 0.216 2.498 1.714 0.136 1.578 -8520 98160 0.000588007 22.10
733.039 3.250 0.212 3.038 2.365 0.160 2.205 -12060 120960 0.000801934 22.40
Performance Flow Sweeps
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C
314.159 1.107 0.205 0.902 0.347 0.063 0.284 -480 29520 0.000169338 24.10 30000 0.079 859.0213 0.056697 0.001093 284 1.78878169 0.00
314.159 1.089 0.205 0.884 0.342 0.063 0.279 -180 35580 0.000150133 24.70 35760 0.079 858.6271 0.067614 0.000969 279 1.924285333 0.60
314.159 1.072 0.205 0.867 0.377 0.063 0.314 180 44160 0.000119906 25.20 43980 0.079 858.2986 0.083188 0.000774 314 1.679447732 1.10
314.159 1.058 0.205 0.853 0.333 0.063 0.270 660 51960 0.000088677 25.40 51300 0.079 858.1672 0.097049 0.000573 270 1.684863 1.30
314.159 1.045 0.205 0.840 0.328 0.063 0.265 1260 61320 0.000051603 25.60 60060 0.079 858.0358 0.113639 0.000333 265 1.169538181 1.50
314.159 0.990 0.205 0.785 0.305 0.063 0.242 1980 78000 0 25.90 76020 0.079 857.8387 0.143869 0 242 0 1.80
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C
523.599 2.022 0.214 1.808 1.062 0.063 0.999 -5340 70080 0.000469103 27.20 75420 0.079 856.9846 0.051435 0.001817 999 3.541516342 0.00
523.599 1.984 0.214 1.770 1.039 0.063 0.976 -4500 93300 0.000414828 28.10 97800 0.079 856.3933 0.066744 0.001607 976 4.156780574 0.90
523.599 1.901 0.214 1.687 0.998 0.063 0.935 -2880 133860 0.00033233 28.20 136740 0.079 856.3276 0.093326 0.001287 935 4.860192963 1.00
523.599 1.825 0.214 1.611 0.974 0.063 0.911 -1680 157800 0.0002672 28.50 159480 0.079 856.1305 0.108872 0.001035 911 4.677613172 1.30
523.599 1.777 0.214 1.563 0.943 0.063 0.880 -240 181920 0.000170006 28.90 182160 0.079 855.8677 0.124393 0.000659 880 3.5191242 1.70
523.599 1.709 0.214 1.495 0.901 0.063 0.838 540 193500 0.00011356 29.00 192960 0.079 855.802 0.131778 0.00044 838 2.614861289 1.80
523.599 1.545 0.214 1.331 0.818 0.063 0.755 1380 206280 0.000046092 29.40 204900 0.079 855.5392 0.139975 0.000179 755 1.250894146 2.20
523.599 1.303 0.214 1.089 0.679 0.063 0.616 1860 216480 0 30.20 214620 0.079 855.0136 0.146705 0 616 0 3.00
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C
733.039 3.062 0.212 2.850 2.245 0.063 2.182 -11940 110940 0.000753337 24.00 122880 0.079 859.087 0.042652 0.002084 2182 4.242440447 0.00
733.039 2.913 0.212 2.701 2.141 0.063 2.078 -8820 245400 0.000645288 26.10 254220 0.079 857.7073 0.088382 0.001785 2078 7.894375138 2.10
733.039 2.748 0.212 2.536 2.020 0.063 1.957 -5640 316440 0.000515863 27.20 322080 0.079 856.9846 0.112068 0.001427 1957 8.489992593 3.20
733.039 2.615 0.212 2.403 1.924 0.063 1.861 -3960 342480 0.000436538 28.90 346440 0.079 855.8677 0.120702 0.001208 1861 8.126503209 4.90
733.039 2.454 0.212 2.242 1.809 0.063 1.746 -1620 375360 0.000300934 30.20 376980 0.079 855.0136 0.131473 0.000833 1746 6.497485643 6.20
733.039 2.308 0.212 2.096 1.710 0.063 1.647 -180 388200 0.000198897 32.30 388380 0.079 853.6339 0.135668 0.00055 1647 4.690201388 8.30
733.039 2.160 0.212 1.948 1.599 0.063 1.536 780 401160 0.000113393 34.10 400380 0.079 852.4513 0.140054 0.000314 1536 2.955748004 10.10
733.039 1.557 0.212 1.345 1.113 0.063 1.050 1740 427320 0 37.30 425580 0.079 850.3489 0.149237 0 1050 0 13.30
Performance No Back Pressure 80 Deg C
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C
0.000 0.000 0.000 0.000 0.000 0.000 0.000 5400 2760 0 77.40
104.720 0.178 0.110 0.068 0.018 0.011 0.007 -300 5100 0.000112892 77.40
209.440 0.335 0.121 0.214 0.071 0.025 0.046 -1200 10260 0.00027388 78.00
314.159 0.538 0.125 0.413 0.169 0.039 0.130 -2400 17220 0.000426518 78.80
418.879 0.775 0.129 0.646 0.325 0.054 0.271 -3840 24300 0.000557446 79.00
523.599 1.035 0.131 0.904 0.541 0.069 0.472 -5220 29940 0.00066132 79.40
628.319 1.320 0.132 1.188 0.830 0.082 0.748 -6480 35820 0.000748327 79.80
733.039 1.645 0.131 1.514 1.208 0.090 1.118 -8220 44820 0.000849195 79.80
Performance Flow Sweeps
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C
314.159 0.553 0.125 0.428 0.173 0.039 0.134 -2340 15840 0.000434534 79.60 18180 0.079 822.5578 0.035882 0.002805 134 5.895394119 0.00
314.159 0.516 0.125 0.391 0.163 0.039 0.124 -1740 47880 0.000342684 79.60 49620 0.079 822.5578 0.097935 0.002212 124 13.71288716 0.00
314.159 0.494 0.125 0.369 0.155 0.039 0.116 -1320 61500 0.00026887 79.70 62820 0.079 822.4921 0.123997 0.001736 116 14.56070121 0.10
314.159 0.463 0.125 0.338 0.146 0.039 0.107 -840 69300 0.00017034 79.90 70140 0.079 822.3607 0.138468 0.0011 107 11.16602579 0.30
314.159 0.449 0.125 0.324 0.142 0.039 0.103 -660 70200 0.000126419 80.00 70860 0.079 822.295 0.1399 0.000816 103 8.697136252 0.40
314.159 0.431 0.125 0.306 0.133 0.039 0.094 -420 73740 0.00004843 80.20 74160 0.079 822.1636 0.146439 0.000313 94 3.820817872 0.60
314.159 0.423 0.125 0.298 0.127 0.039 0.088 -300 76800 0 80.10 77100 0.079 822.2293 0.152232 0 88 0 0.50
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C
523.599 1.005 0.131 0.874 0.526 0.069 0.457 -5580 28980 0.000673177 82.00 34560 0.079 820.981 0.024603 0.002608 457 5.090808998 0.00
523.599 0.961 0.131 0.830 0.506 0.069 0.437 -4620 119820 0.000593685 82.30 124440 0.079 820.7839 0.088609 0.0023 437 16.90575776 0.30
523.599 0.920 0.131 0.789 0.486 0.069 0.417 -3660 162660 0.000498996 83.10 166320 0.079 820.2583 0.118506 0.001933 417 19.90240161 1.10
523.599 0.875 0.131 0.744 0.463 0.069 0.394 -2760 183840 0.000408983 83.80 186600 0.079 819.7984 0.133031 0.001584 394 19.36960096 1.80
523.599 0.797 0.131 0.666 0.422 0.069 0.353 -1560 198540 0.000257514 83.70 200100 0.079 819.8641 0.142644 0.000998 353 14.59732334 1.70
523.599 0.767 0.131 0.636 0.405 0.069 0.336 -1020 200220 0.000189378 83.60 201240 0.079 819.9298 0.143445 0.000734 336 11.3423895 1.60
523.599 0.734 0.131 0.603 0.390 0.069 0.321 -720 203400 0.000120407 83.80 204120 0.079 819.7984 0.145521 0.000466 321 7.656534841 1.80
523.599 0.693 0.131 0.562 0.364 0.069 0.295 -360 215520 0 83.90 215880 0.079 819.7327 0.153918 0 295 0 1.90
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C
733.039 1.688 0.131 1.557 1.226 0.090 1.136 -8340 47580 0.000838841 79.60 55920 0.079 822.5578 0.020272 0.002321 1136 4.129224359 0.00
733.039 1.544 0.131 1.413 1.139 0.090 1.049 -6300 256080 0.000744486 79.60 262380 0.079 822.5578 0.095117 0.00206 1049 18.62137623 0.00
733.039 1.499 0.131 1.368 1.097 0.090 1.007 -4620 340380 0.000624246 79.70 345000 0.079 822.4921 0.125078 0.001727 1007 21.38677954 0.10
733.039 1.402 0.131 1.271 1.034 0.090 0.944 -2940 364560 0.000494487 80.10 367500 0.079 822.2293 0.133277 0.001368 944 19.25042082 0.50
733.039 1.310 0.131 1.179 0.966 0.090 0.876 -1560 387180 0.000362223 80.30 388740 0.079 822.0979 0.141003 0.001002 876 16.07426587 0.70
733.039 1.249 0.131 1.118 0.922 0.090 0.832 -900 392640 0.000263693 80.70 393540 0.079 821.8351 0.14279 0.00073 832 12.47280568 1.10
733.039 1.147 0.131 1.016 0.854 0.090 0.764 -60 406080 0.000115063 81.40 406140 0.079 821.3752 0.147444 0.000318 764 6.116712935 1.80
733.039 1.060 0.131 0.929 0.779 0.090 0.689 120 421740 0 81.90 421620 0.079 821.0467 0.153125 0 689 0 2.30
Appendix A VIII
Testing of existing impeller configurations
Design analysis of a centrifugal disc pump for automotive applications
1mm Room Temp Pressure v Flowrate
0
50000
100000
150000
200000
250000
300000
350000
400000
450000
500000
0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001
Flowrate m^3/s
PressureN/m^2
0
5
10
15
20
25
Efficiency%
3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency
1mm Room Temp Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.0005 0.001 0.0015 0.002 0.0025 0.003
Q/(ND^3)
deltaP/(pN^2D^2)
3000RPM 5000RPM 7000RPM
Appendix A IX
Testing of existing impeller configurations
Design analysis of a centrifugal disc pump for automotive applications
06
1mm 80 Deg C Pressure v Flowrate
0
50000
100000
150000
200000
250000
300000
350000
400000
450000
500000
0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001
Flowrate m^3/s
PressureN/m^2
0
5
10
15
20
25
Efficiency
3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency
1mm 80 Deg C Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.0005 0.001 0.0015 0.002 0.0025 0.003
Q/(ND^3)
deltaP/(pN^2D^2)
3000RPM 5000RPM 7000RPM
Appendix B X
Testing of ideal impeller configuration
Design analysis of a centrifugal disc pump for automotive applications
%4 65#
0.4mm 0.4mm SI Units
Performance No Back Pressure Room Temp Performance No Back Pressure Room Temp
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
0 0.000 0.000 1.19 0.42 0.025 0.23 0.31 0.019 0.00 24.00 0.000 0.000 0.000 2520 1860 0 24.00
1000 0.576 0.058 1.00 0.23 0.014 0.71 0.79 0.047 2.10 25.20 104.720 0.576 0.058 1380 4740 0.00003507 25.20
2000 0.851 0.178 0.92 0.15 0.009 1.89 1.97 0.118 4.07 25.40 209.440 0.851 0.178 900 11820 0.000067969 25.40
3000 1.170 0.366 0.71 -0.06 -0.004 3.78 3.86 0.232 9.82 26.40 314.159 1.170 0.366 -360 23160 0.000163994 26.40
4000 1.587 0.664 0.43 -0.34 -0.020 6.23 6.31 0.379 17.15 26.90 418.879 1.587 0.664 -2040 37860 0.000286405 26.90
5000 2.008 1.052 0.08 -0.69 -0.041 8.90 8.98 0.539 24.98 27.10 523.599 2.008 1.052 -4140 53880 0.000417166 27.10
6000 2.502 1.575 -0.42 -1.19 -0.071 12.18 12.26 0.736 34.17 28.00 628.319 2.502 1.575 -7140 73560 0.000570639 28.00
7000 3.009 2.202 -0.99 -1.76 -0.106 15.58 15.66 0.940 43.70 28.40 733.039 3.009 2.202 -10560 93960 0.00072979 28.40
Performance Flow Sweeps Performance Flow Sweeps
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
3000 1.115 0.350 0.71 -0.06 -0.004 3.80 3.88 0.233 11.31 29.00 314.159 1.115 0.350 -360 23280 0.000188877 29.00
3000 1.098 0.345 0.74 -0.03 -0.002 5.07 5.15 0.309 10.05 29.20 314.159 1.098 0.345 -180 30900 0.000167835 29.20
3000 1.076 0.338 0.79 0.02 0.001 6.94 7.02 0.421 8.02 29.50 314.159 1.076 0.338 120 42120 0.000133934 29.50
3000 1.047 0.329 0.88 0.11 0.007 9.28 9.36 0.562 5.07 30.00 314.159 1.047 0.329 660 56160 0.000084669 30.00
3000 1.031 0.325 0.94 0.17 0.010 10.89 10.97 0.658 2.87 30.10 314.159 1.031 0.325 1020 65820 0.000047929 30.10
3000 0.961 0.300 1.01 0.24 0.014 13.61 13.69 0.821 0.00 31.00 314.159 0.961 0.300 1440 82140 0 31.00
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
5000 1.913 1.002 0.05 -0.72 -0.043 8.67 8.75 0.525 26.40 30.00 523.599 1.913 1.002 -4320 52500 0.00044088 30.00
5000 1.830 0.957 0.34 -0.43 -0.026 18.24 18.32 1.099 20.55 30.10 523.599 1.830 0.957 -2580 109920 0.000343185 30.10
5000 1.766 0.927 0.52 -0.25 -0.015 23.18 23.26 1.396 16.41 31.20 523.599 1.766 0.927 -1500 139560 0.000274047 31.20
5000 1.686 0.883 0.70 -0.07 -0.004 27.81 27.89 1.673 11.46 32.00 523.599 1.686 0.883 -420 167340 0.000191382 32.00
5000 1.600 0.838 0.84 0.07 0.004 30.81 30.89 1.853 7.18 32.40 523.599 1.600 0.838 420 185340 0.000119906 32.40
5000 1.474 0.776 0.95 0.18 0.011 35.51 35.59 2.135 2.71 33.00 523.599 1.474 0.776 1080 213540 0.000045257 33.00
5000 1.200 0.630 1.02 0.25 0.015 36.99 37.07 2.224 0.00 33.00 523.599 1.200 0.630 1500 222420 0 33.00
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
7000 3.076 2.245 -0.94 -1.71 -0.103 16.02 16.10 0.966 43.38 26.00 733.039 3.076 2.245 -10260 96600 0.000724446 26.00
7000 2.908 2.133 -0.47 -1.24 -0.074 34.60 34.68 2.081 36.55 27.10 733.039 2.908 2.133 -7440 208080 0.000610385 27.10
7000 2.758 2.028 -0.04 -0.81 -0.049 45.43 45.51 2.731 29.65 28.00 733.039 2.758 2.028 -4860 273060 0.000495155 28.00
7000 2.574 1.903 0.36 -0.41 -0.025 54.41 54.49 3.269 21.29 30.20 733.039 2.574 1.903 -2460 326940 0.000355543 30.20
7000 2.439 1.803 0.61 -0.16 -0.010 58.50 58.58 3.515 15.60 31.40 733.039 2.439 1.803 -960 351480 0.00026052 31.40
7000 2.254 1.675 0.82 0.05 0.003 65.24 65.32 3.919 9.15 31.90 733.039 2.254 1.675 300 391920 0.000152805 31.90
7000 1.993 1.474 0.96 0.19 0.011 70.46 70.54 4.232 3.39 32.00 733.039 1.993 1.474 1140 423240 0.000056613 32.00
7000 1.599 1.152 1.03 0.26 0.016 74.24 74.32 4.459 0.00 34.00 733.039 1.599 1.152 1560 445920 0 34.00
Performance No Back Pressure 80 Deg C Performance No Back Pressure 80 Deg C
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
0 0.000 0.000 0.80 0.03 0.002 0.25 0.33 0.020 0.00 80.10 0.000 0.000 0.000 180 1980 0 80.10
1000 0.196 0.021 0.75 -0.02 -0.001 0.64 0.72 0.043 6.22 80.50 104.720 0.196 0.021 -120 4320 0.000103874 80.50
2000 0.346 0.072 0.60 -0.17 -0.010 1.52 1.60 0.096 16.50 81.20 209.440 0.346 0.072 -1020 9600 0.00027555 81.20
3000 0.541 0.169 0.36 -0.41 -0.025 2.57 2.65 0.159 26.32 82.10 314.159 0.541 0.169 -2460 15900 0.000439544 82.10
4000 0.771 0.323 0.10 -0.67 -0.040 3.63 3.71 0.223 34.38 83.50 418.879 0.771 0.323 -4020 22260 0.000574146 83.50
5000 1.030 0.538 -0.17 -0.94 -0.056 4.75 4.83 0.290 40.65 84.00 523.599 1.030 0.538 -5640 28980 0.000678855 84.00
6000 1.337 0.839 -0.48 -1.25 -0.075 6.02 6.10 0.366 46.60 84.10 628.319 1.337 0.839 -7500 36600 0.00077822 84.10
7000 1.651 1.206 -0.80 -1.57 -0.094 9.44 9.52 0.571 52.14 85.00 733.039 1.651 1.206 -9420 57120 0.000870738 85.00
Performance Flow Sweeps Performance Flow Sweeps
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
3000 0.549 0.173 0.31 -0.46 -0.028 2.51 2.59 0.155 25.90 80.00 314.159 0.549 0.173 -2760 15540 0.00043253 80.00
3000 0.519 0.163 0.41 -0.36 -0.022 6.81 6.89 0.413 21.07 80.10 314.159 0.519 0.163 -2160 41340 0.000351869 80.10
3000 0.495 0.155 0.51 -0.26 -0.016 9.30 9.38 0.563 16.61 79.90 314.159 0.495 0.155 -1560 56280 0.000277387 79.90
3000 0.469 0.148 0.57 -0.20 -0.012 10.58 10.66 0.640 12.76 79.60 314.159 0.469 0.148 -1200 63960 0.000213092 79.60
3000 0.450 0.142 0.62 -0.15 -0.009 11.50 11.58 0.695 8.82 79.60 314.159 0.450 0.142 -900 69480 0.000147294 79.60
3000 0.433 0.136 0.66 -0.11 -0.007 12.10 12.18 0.731 4.65 79.80 314.159 0.433 0.136 -660 73080 0.000077655 79.80
3000 0.415 0.132 0.72 -0.05 -0.003 13.08 13.16 0.790 0.00 79.90 314.159 0.415 0.132 -300 78960 0 79.90
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
5000 1.081 0.568 -0.29 -1.06 -0.064 5.44 5.52 0.331 40.70 80.00 523.599 1.081 0.568 -6360 33120 0.00067969 80.00
5000 1.006 0.529 0.01 -0.76 -0.046 21.71 21.79 1.307 34.22 80.20 523.599 1.006 0.529 -4560 130740 0.000571474 80.20
5000 0.958 0.505 0.20 -0.57 -0.034 27.26 27.34 1.640 29.23 80.40 523.599 0.958 0.505 -3420 164040 0.000488141 80.40
5000 0.905 0.478 0.34 -0.43 -0.026 31.09 31.17 1.870 23.52 80.30 523.599 0.905 0.478 -2580 187020 0.000392784 80.30
5000 0.858 0.452 0.50 -0.27 -0.016 32.81 32.89 1.973 17.15 80.30 523.599 0.858 0.452 -1620 197340 0.000286405 80.30
5000 0.799 0.422 0.58 -0.19 -0.011 34.06 34.14 2.048 11.69 80.30 523.599 0.799 0.422 -1140 204840 0.000195223 80.30
5000 0.751 0.397 0.66 -0.11 -0.007 35.21 35.29 2.117 5.85 80.90 523.599 0.751 0.397 -660 211740 0.000097695 80.90
5000 0.707 0.372 0.72 -0.05 -0.003 36.95 37.03 2.222 0.00 81.00 523.599 0.707 0.372 -300 222180 0 81.00
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
7000 1.721 1.258 -0.76 -1.53 -0.092 8.48 8.56 0.514 51.67 79.20 733.039 1.721 1.258 -9180 51360 0.000862889 79.20
7000 1.629 1.189 -0.40 -1.17 -0.070 47.85 47.93 2.876 44.63 79.40 733.039 1.629 1.189 -7020 287580 0.000745321 79.40
7000 1.510 1.111 -0.04 -0.81 -0.049 59.36 59.44 3.566 36.45 79.50 733.039 1.510 1.111 -4860 356640 0.000608715 79.50
7000 1.418 1.041 0.22 -0.55 -0.033 62.27 62.35 3.741 29.18 79.80 733.039 1.418 1.041 -3300 374100 0.000487306 79.80
7000 1.324 0.976 0.42 -0.35 -0.021 65.90 65.98 3.959 21.58 80.00 733.039 1.324 0.976 -2100 395880 0.000360386 80.00
7000 1.261 0.929 0.55 -0.22 -0.013 67.40 67.48 4.049 16.90 80.50 733.039 1.261 0.929 -1320 404880 0.00028223 80.50
7000 1.176 0.865 0.67 -0.10 -0.006 69.28 69.36 4.162 9.15 81.40 733.039 1.176 0.865 -600 416160 0.000152805 81.40
7000 1.092 0.802 0.73 -0.04 -0.002 71.69 71.77 4.306 2.47 82.30 733.039 1.092 0.802 -240 430620 0.000041249 82.30
7000 1.092 0.768 0.75 -0.02 -0.001 72.89 72.97 4.378 0.00 83.40 733.039 1.092 0.768 -120 437820 0 83.40
0.4mm Corrected Values
Performance No Back Pressure Room Temp
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C
0.000 0.000 0.000 0.000 0.000 0.000 0.000 2520 1860 0 24.00
104.720 0.576 0.180 0.396 0.058 0.028 0.030 1380 4740 0.00003507 25.20
209.440 0.851 0.202 0.649 0.178 0.042 0.136 900 11820 0.000067969 25.40
314.159 1.170 0.205 0.965 0.366 0.063 0.303 -360 23160 0.000163994 26.40
418.879 1.587 0.208 1.379 0.664 0.086 0.578 -2040 37860 0.000286405 26.90
523.599 2.008 0.214 1.794 1.052 0.111 0.941 -4140 53880 0.000417166 27.10
628.319 2.502 0.216 2.286 1.575 0.136 1.439 -7140 73560 0.000570639 28.00
733.039 3.009 0.212 2.797 2.202 0.160 2.042 -10560 93960 0.00072979 28.40
Performance Flow Sweeps
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C
314.159 1.115 0.205 0.910 0.350 0.063 0.287 -360 23280 0.000188877 29.00 23640 0.079 855.802 0.044846 0.001219404 287 1.555767345 0.00
314.159 1.098 0.205 0.893 0.345 0.063 0.282 -180 30900 0.000167835 29.20 31080 0.079 855.6706 0.058969 0.001083556 282 1.849755957 0.20
314.159 1.076 0.205 0.871 0.338 0.063 0.275 120 42120 0.000133934 29.50 42000 0.079 855.4735 0.079706 0.000864688 275 2.045537455 0.50
314.159 1.047 0.205 0.842 0.329 0.063 0.266 660 56160 0.000084669 30.00 55500 0.079 855.145 0.105366 0.00054663 266 1.766590038 1.00
314.159 1.031 0.205 0.826 0.325 0.063 0.262 1020 65820 0.000047929 30.10 64800 0.079 855.0793 0.123031 0.000309433 262 1.185419542 1.10
314.159 0.961 0.205 0.756 0.300 0.063 0.237 1440 82140 0 31.00 80700 0.079 854.488 0.153325 0 237 0 2.00
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C
523.599 1.913 0.214 1.699 1.002 0.111 0.891 -4320 52500 0.00044088 30.00 56820 0.079 855.145 0.038834 0.001707813 891 2.811537778 0.00
523.599 1.830 0.214 1.616 0.957 0.111 0.846 -2580 109920 0.000343185 30.10 112500 0.079 855.0793 0.076894 0.001329377 846 4.563630319 0.10
523.599 1.766 0.214 1.552 0.927 0.111 0.816 -1500 139560 0.000274047 31.20 141060 0.079 854.3566 0.096497 0.001061561 816 4.737386007 1.20
523.599 1.686 0.214 1.472 0.883 0.111 0.772 -420 167340 0.000191382 32.00 167760 0.079 853.831 0.114832 0.000741346 772 4.158839938 2.00
523.599 1.600 0.214 1.386 0.838 0.111 0.727 420 185340 0.000119906 32.40 184920 0.079 853.5682 0.126618 0.000464473 727 3.049933634 2.40
523.599 1.474 0.214 1.260 0.776 0.111 0.665 1080 213540 0.000045257 33.00 212460 0.079 853.174 0.145542 0.00017531 665 1.445910108 3.00
523.599 1.200 0.214 0.986 0.630 0.111 0.519 1500 222420 0 33.00 220920 0.079 853.174 0.151337 0 519 0 3.00
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C
733.039 3.076 0.212 2.864 2.245 0.160 2.085 -10260 96600 0.000724446 26.00 106860 0.079 857.773 0.037148 0.002004462 2085 3.712916046 0.00
733.039 2.908 0.212 2.696 2.133 0.160 1.973 -7440 208080 0.000610385 27.10 215520 0.079 857.0503 0.074985 0.001688868 1973 6.667520284 1.10
733.039 2.758 0.212 2.546 2.028 0.160 1.868 -4860 273060 0.000495155 28.00 277920 0.079 856.459 0.096762 0.001370039 1868 7.366888522 2.00
733.039 2.574 0.212 2.362 1.903 0.160 1.743 -2460 326940 0.000355543 30.20 329400 0.079 855.0136 0.11488 0.000983748 1743 6.719211945 4.20
733.039 2.439 0.212 2.227 1.803 0.160 1.643 -960 351480 0.00026052 31.40 352440 0.079 854.2252 0.123028 0.00072083 1643 5.58841563 5.40
733.039 2.254 0.212 2.042 1.675 0.160 1.515 300 391920 0.000152805 31.90 391620 0.079 853.8967 0.136758 0.000422795 1515 3.949933604 5.90
733.039 1.993 0.212 1.781 1.474 0.160 1.314 1140 423240 0.000056613 32.00 422100 0.079 853.831 0.147413 0.000156642 1314 1.818595685 6.00
733.039 1.599 0.212 1.387 1.152 0.160 0.992 1560 445920 0 34.00 444360 0.079 852.517 0.155426 0 992 0 8.00
Performance No Back Pressure 80 Deg C
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C
0.000 0.000 0.000 0.000 0.000 0.000 0.000 180 1980 0 80.10
104.720 0.196 0.110 0.086 0.021 0.011 0.010 -120 4320 0.000103874 80.50
209.440 0.346 0.121 0.225 0.072 0.025 0.047 -1020 9600 0.00027555 81.20
314.159 0.541 0.125 0.416 0.169 0.039 0.130 -2460 15900 0.000439544 82.10
418.879 0.771 0.129 0.642 0.323 0.054 0.269 -4020 22260 0.000574146 83.50
523.599 1.030 0.131 0.899 0.538 0.069 0.469 -5640 28980 0.000678855 84.00
628.319 1.337 0.132 1.205 0.839 0.082 0.757 -7500 36600 0.00077822 84.10
733.039 1.651 0.131 1.520 1.206 0.090 1.116 -9420 57120 0.000870738 85.00
Performance Flow Sweeps
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C
314.159 0.549 0.125 0.424 0.173 0.039 0.134 -2760 15540 0.00043253 80.00 18300 0.079 822.295 0.03613 0.002792447 134 5.906939552 0.00
314.159 0.519 0.125 0.394 0.163 0.039 0.124 -2160 41340 0.000351869 80.10 43500 0.079 822.2293 0.08589 0.002271693 124 12.34379153 0.10
314.159 0.495 0.125 0.370 0.155 0.039 0.116 -1560 56280 0.000277387 79.90 57840 0.079 822.3607 0.114186 0.001790832 116 13.83108972 -0.10
314.159 0.469 0.125 0.344 0.148 0.039 0.109 -1200 63960 0.000213092 79.60 65160 0.079 822.5578 0.128606 0.001375738 109 12.73860066 -0.40
314.159 0.450 0.125 0.325 0.142 0.039 0.103 -900 69480 0.000147294 79.60 70380 0.079 822.5578 0.138908 0.000950941 103 10.06461332 -0.40
314.159 0.433 0.125 0.308 0.136 0.039 0.097 -660 73080 0.000077655 79.80 73740 0.079 822.4264 0.145563 0.000501347 97 5.903381134 -0.20
314.159 0.415 0.125 0.290 0.132 0.039 0.093 -300 78960 0 79.90 79260 0.079 822.3607 0.156472 0 93 0 -0.10
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C
523.599 1.081 0.131 0.950 0.568 0.069 0.499 -6360 33120 0.00067969 80.00 39480 0.079 822.295 0.028061 0.002632878 499 5.377587415 0.00
523.599 1.006 0.131 0.875 0.529 0.069 0.460 -4560 130740 0.000571474 80.20 135300 0.079 822.1636 0.096181 0.002213688 460 16.80878961 0.20
523.599 0.958 0.131 0.827 0.505 0.069 0.436 -3420 164040 0.000488141 80.40 167460 0.079 822.0322 0.119061 0.001890885 436 18.74864492 0.40
523.599 0.905 0.131 0.774 0.478 0.069 0.409 -2580 187020 0.000392784 80.30 189600 0.079 822.0979 0.134792 0.001521506 409 18.2082754 0.30
523.599 0.858 0.131 0.727 0.452 0.069 0.383 -1620 197340 0.000286405 80.30 198960 0.079 822.0979 0.141446 0.001109432 383 14.87810413 0.30
523.599 0.799 0.131 0.668 0.422 0.069 0.353 -1140 204840 0.000195223 80.30 205980 0.079 822.0979 0.146437 0.000756225 353 11.39151092 0.30
523.599 0.751 0.131 0.620 0.397 0.069 0.328 -660 211740 0.000097695 80.90 212400 0.079 821.7037 0.151073 0.000378436 328 6.326346951 0.90
523.599 0.707 0.131 0.576 0.372 0.069 0.303 -300 222180 0 81.00 222480 0.079 821.638 0.158255 0 303 0 1.00
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C
733.039 1.721 0.131 1.590 1.258 0.090 1.168 -9180 51360 0.000862889 79.20 60540 0.079 822.8206 0.02194 0.002387519 1168 4.472542813 0.00
733.039 1.629 0.131 1.498 1.189 0.090 1.099 -7020 287580 0.000745321 79.40 294600 0.079 822.6892 0.10678 0.002062221 1099 19.97921443 0.20
733.039 1.510 0.131 1.379 1.111 0.090 1.021 -4860 356640 0.000608715 79.50 361500 0.079 822.6235 0.131039 0.001684247 1021 21.55244589 0.30
733.039 1.418 0.131 1.287 1.041 0.090 0.951 -3300 374100 0.000487306 79.80 377400 0.079 822.4264 0.136835 0.001348322 951 19.33851571 0.60
733.039 1.324 0.131 1.193 0.976 0.090 0.886 -2100 395880 0.000360386 80.00 397980 0.079 822.295 0.14432 0.000997148 886 16.18808355 0.80
733.039 1.261 0.131 1.130 0.929 0.090 0.839 -1320 404880 0.00028223 80.50 406200 0.079 821.9665 0.147359 0.000780899 839 13.66410322 1.30
733.039 1.176 0.131 1.045 0.865 0.090 0.775 -600 416160 0.000152805 81.40 416760 0.079 821.3752 0.151299 0.000422795 775 8.217162813 2.20
733.039 1.092 0.131 0.961 0.802 0.090 0.712 -240 430620 0.000041249 82.30 430860 0.079 820.7839 0.156531 0.000114131 712 2.49614384 3.10
733.039 1.092 0.131 0.961 0.768 0.090 0.678 -120 437820 0 83.40 437940 0.079 820.0612 0.159243 0 678 0 4.20
Appendix B XI
Testing of ideal impeller configuration
Design analysis of a centrifugal disc pump for automotive applications
65#
0.4mm Room Temp Pressure v Flowrate
0
50000
100000
150000
200000
250000
300000
350000
400000
450000
500000
0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001
Flowrate m^3/s
PressureN/m^2
0
5
10
15
20
25
Efficiency%
3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency
0.4mm Room Temp Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.0005 0.001 0.0015 0.002 0.0025 0.003
Q/(ND^3)
deltaP/(pN^2D^2)
3000RPM 5000RPM 7000RPM
Appendix B XII
Testing of ideal impeller configuration
Design analysis of a centrifugal disc pump for automotive applications
65# 06
0.4 mm 80 Deg C Pressure v Flowrate
0
50000
100000
150000
200000
250000
300000
350000
400000
450000
500000
0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001
Flowrate m^3/s
PressureN/m^2
0
5
10
15
20
25
Efficency%
3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency
0.4mm 80 Deg C Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.0005 0.001 0.0015 0.002 0.0025 0.003
Q/(ND^3)
deltaP/(pN^2D^2)
3000RPM 5000RPM 7000RPM
Appendix C XIII
Dimensionless impeller configuration data
Design analysis of a centrifugal disc pump for automotive applications
% "666'78
3000RPM 80 Deg C Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.0005 0.001 0.0015 0.002 0.0025 0.003
Q/(ND^3)
deltaP/(pN^2D^2)
3.25mm 2mm 1mm 0.4mm
.666'78
5000RPM 80 Deg C Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.0005 0.001 0.0015 0.002 0.0025 0.003
Q/(ND^3)
deltaP/(pN^2D^2)
3.25mm 2mm 1mm 0.4mm
Appendix C XIV
Dimensionless impeller configuration data
Design analysis of a centrifugal disc pump for automotive applications
/666'78
7000RPM 80 Deg C Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.0005 0.001 0.0015 0.002 0.0025 0.003
Q/(ND^3)
deltaP/(pN^2D^2)
3.25mm 2mm 1mm 0.4mm
Appendix D XV
Testing of concentric casing
Design analysis of a centrifugal disc pump for automotive applications
% !5!.
Casing Standard 2.25mm 0.4mm
Performance Flow Sweeps SI Units
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
3000 0.549 0.173 0.31 -0.46 -0.028 2.51 2.59 0.155 25.90 80.00 314.159 0.549 0.173 -2760 15540 0.00043253 80.00
3000 0.519 0.163 0.41 -0.36 -0.022 6.81 6.89 0.413 21.07 80.10 314.159 0.519 0.163 -2160 41340 0.000351869 80.10
3000 0.495 0.155 0.51 -0.26 -0.016 9.30 9.38 0.563 16.61 79.90 314.159 0.495 0.155 -1560 56280 0.000277387 79.90
3000 0.469 0.148 0.57 -0.20 -0.012 10.58 10.66 0.640 12.76 79.60 314.159 0.469 0.148 -1200 63960 0.000213092 79.60
3000 0.450 0.142 0.62 -0.15 -0.009 11.50 11.58 0.695 8.82 79.60 314.159 0.450 0.142 -900 69480 0.000147294 79.60
3000 0.433 0.136 0.66 -0.11 -0.007 12.10 12.18 0.731 4.65 79.80 314.159 0.433 0.136 -660 73080 0.000077655 79.80
3000 0.415 0.132 0.72 -0.05 -0.003 13.08 13.16 0.790 0.00 79.90 314.159 0.415 0.132 -300 78960 0 79.90
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
5000 1.081 0.568 -0.29 -1.06 -0.064 5.44 5.52 0.331 40.70 80.00 523.599 1.081 0.568 -6360 33120 0.00067969 80.00
5000 1.006 0.529 0.01 -0.76 -0.046 21.71 21.79 1.307 34.22 80.20 523.599 1.006 0.529 -4560 130740 0.000571474 80.20
5000 0.958 0.505 0.20 -0.57 -0.034 27.26 27.34 1.640 29.23 80.40 523.599 0.958 0.505 -3420 164040 0.000488141 80.40
5000 0.905 0.478 0.34 -0.43 -0.026 31.09 31.17 1.870 23.52 80.30 523.599 0.905 0.478 -2580 187020 0.000392784 80.30
5000 0.858 0.452 0.50 -0.27 -0.016 32.81 32.89 1.973 17.15 80.30 523.599 0.858 0.452 -1620 197340 0.000286405 80.30
5000 0.799 0.422 0.58 -0.19 -0.011 34.06 34.14 2.048 11.69 80.30 523.599 0.799 0.422 -1140 204840 0.000195223 80.30
5000 0.751 0.397 0.66 -0.11 -0.007 35.21 35.29 2.117 5.85 80.90 523.599 0.751 0.397 -660 211740 0.000097695 80.90
5000 0.707 0.372 0.72 -0.05 -0.003 36.95 37.03 2.222 0.00 81.00 523.599 0.707 0.372 -300 222180 0 81.00
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
7000 1.721 1.258 -0.76 -1.53 -0.092 8.48 8.56 0.514 51.67 79.20 733.039 1.721 1.258 -9180 51360 0.000862889 79.20
7000 1.629 1.189 -0.40 -1.17 -0.070 47.85 47.93 2.876 44.63 79.40 733.039 1.629 1.189 -7020 287580 0.000745321 79.40
7000 1.510 1.111 -0.04 -0.81 -0.049 59.36 59.44 3.566 36.45 79.50 733.039 1.510 1.111 -4860 356640 0.000608715 79.50
7000 1.418 1.041 0.22 -0.55 -0.033 62.27 62.35 3.741 29.18 79.80 733.039 1.418 1.041 -3300 374100 0.000487306 79.80
7000 1.324 0.976 0.42 -0.35 -0.021 65.90 65.98 3.959 21.58 80.00 733.039 1.324 0.976 -2100 395880 0.000360386 80.00
7000 1.261 0.929 0.55 -0.22 -0.013 67.40 67.48 4.049 16.90 80.50 733.039 1.261 0.929 -1320 404880 0.00028223 80.50
7000 1.176 0.865 0.67 -0.10 -0.006 69.28 69.36 4.162 9.15 81.40 733.039 1.176 0.865 -600 416160 0.000152805 81.40
7000 1.092 0.802 0.73 -0.04 -0.002 71.69 71.77 4.306 2.47 82.30 733.039 1.092 0.802 -240 430620 0.000041249 82.30
7000 1.092 0.768 0.75 -0.02 -0.001 72.89 72.97 4.378 0.00 83.40 733.039 1.092 0.768 -120 437820 0 83.40
0.4mm
Corrected Values
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s %
314.159 0.549 0.125 0.424 0.173 0.039 0.134 -2760 15540 0.00043253 80.00 18300 0.079 822.295 0.03613 0.002792447 134 5.90694
314.159 0.519 0.125 0.394 0.163 0.039 0.124 -2160 41340 0.000351869 80.10 43500 0.079 822.2293 0.08589 0.002271693 124 12.34379
314.159 0.495 0.125 0.370 0.155 0.039 0.116 -1560 56280 0.000277387 79.90 57840 0.079 822.3607 0.114186 0.001790832 116 13.83109
314.159 0.469 0.125 0.344 0.148 0.039 0.109 -1200 63960 0.000213092 79.60 65160 0.079 822.5578 0.128606 0.001375738 109 12.7386
314.159 0.450 0.125 0.325 0.142 0.039 0.103 -900 69480 0.000147294 79.60 70380 0.079 822.5578 0.138908 0.000950941 103 10.06461
314.159 0.433 0.125 0.308 0.136 0.039 0.097 -660 73080 0.000077655 79.80 73740 0.079 822.4264 0.145563 0.000501347 97 5.903381
314.159 0.415 0.125 0.290 0.132 0.039 0.093 -300 78960 0 79.90 79260 0.079 822.3607 0.156472 0 93 0
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s %
523.599 1.081 0.131 0.950 0.568 0.069 0.499 -6360 33120 0.00067969 80.00 39480 0.079 822.295 0.028061 0.002632878 499 5.377587
523.599 1.006 0.131 0.875 0.529 0.069 0.460 -4560 130740 0.000571474 80.20 135300 0.079 822.1636 0.096181 0.002213688 460 16.80879
523.599 0.958 0.131 0.827 0.505 0.069 0.436 -3420 164040 0.000488141 80.40 167460 0.079 822.0322 0.119061 0.001890885 436 18.74864
523.599 0.905 0.131 0.774 0.478 0.069 0.409 -2580 187020 0.000392784 80.30 189600 0.079 822.0979 0.134792 0.001521506 409 18.20828
523.599 0.858 0.131 0.727 0.452 0.069 0.383 -1620 197340 0.000286405 80.30 198960 0.079 822.0979 0.141446 0.001109432 383 14.8781
523.599 0.799 0.131 0.668 0.422 0.069 0.353 -1140 204840 0.000195223 80.30 205980 0.079 822.0979 0.146437 0.000756225 353 11.39151
523.599 0.751 0.131 0.620 0.397 0.069 0.328 -660 211740 0.000097695 80.90 212400 0.079 821.7037 0.151073 0.000378436 328 6.326347
523.599 0.707 0.131 0.576 0.372 0.069 0.303 -300 222180 0 81.00 222480 0.079 821.638 0.158255 0 303 0
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s %
733.039 1.721 0.131 1.590 1.258 0.090 1.168 -9180 51360 0.000862889 79.20 60540 0.079 822.8206 0.02194 0.002387519 1168 4.472543
733.039 1.629 0.131 1.498 1.189 0.090 1.099 -7020 287580 0.000745321 79.40 294600 0.079 822.6892 0.10678 0.002062221 1099 19.97921
733.039 1.510 0.131 1.379 1.111 0.090 1.021 -4860 356640 0.000608715 79.50 361500 0.079 822.6235 0.131039 0.001684247 1021 21.55245
733.039 1.418 0.131 1.287 1.041 0.090 0.951 -3300 374100 0.000487306 79.80 377400 0.079 822.4264 0.136835 0.001348322 951 19.33852
733.039 1.324 0.131 1.193 0.976 0.090 0.886 -2100 395880 0.000360386 80.00 397980 0.079 822.295 0.14432 0.000997148 886 16.18808
733.039 1.261 0.131 1.130 0.929 0.090 0.839 -1320 404880 0.00028223 80.50 406200 0.079 821.9665 0.147359 0.000780899 839 13.6641
733.039 1.176 0.131 1.045 0.865 0.090 0.775 -600 416160 0.000152805 81.40 416760 0.079 821.3752 0.151299 0.000422795 775 8.217163
733.039 1.092 0.131 0.961 0.802 0.090 0.712 -240 430620 0.000041249 82.30 430860 0.079 820.7839 0.156531 0.000114131 712 2.496144
733.039 1.092 0.131 0.961 0.768 0.090 0.678 -120 437820 0 83.40 437940 0.079 820.0612 0.159243 0 678 0
Appendix D XVI
Testing of concentric casing
Design analysis of a centrifugal disc pump for automotive applications
!5!.
Casing Standard Pressure v Flowrate
0
50000
100000
150000
200000
250000
300000
350000
400000
450000
500000
0 0.0002 0.0004 0.0006 0.0008 0.001 0.0012 0.0014 0.0016 0.0018 0.002
Flowrate m^3/s
PressureN/m^2
0
5
10
15
20
25
30
Efficiency%
3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency
Casing Standard 80 Deg C Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.001 0.002 0.003 0.004 0.005 0.006
Q/(ND^3)
deltaP/(pN^2D^2)
3000RPM 5000RPM 7000RPM
Appendix D XVII
Testing of concentric casing
Design analysis of a centrifugal disc pump for automotive applications
"5"/.
Casing Stage 1 3.375mm 0.4mm
Performance Flow Sweeps SI Units
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
3000 0.578 0.182 0.09 -0.68 -0.041 3.42 3.50 0.210 32.53 82.60 314.159 0.578 0.182 -4080 21000 0.000543251 82.60
3000 0.538 0.170 0.30 -0.47 -0.028 6.65 6.73 0.404 25.71 82.10 314.159 0.538 0.170 -2820 40380 0.000429357 82.10
3000 0.499 0.159 0.46 -0.31 -0.019 8.67 8.75 0.525 19.65 81.80 314.159 0.499 0.159 -1860 52500 0.000328155 81.80
3000 0.473 0.149 0.54 -0.23 -0.014 9.72 9.80 0.588 15.02 81.50 314.159 0.473 0.149 -1380 58800 0.000250834 81.50
3000 0.445 0.141 0.61 -0.16 -0.010 10.62 10.70 0.642 10.45 81.40 314.159 0.445 0.141 -960 64200 0.000174515 81.40
3000 0.442 0.133 0.65 -0.12 -0.007 11.45 11.53 0.692 5.74 81.40 314.159 0.442 0.133 -720 69180 0.000095858 81.40
3000 0.401 0.127 0.71 -0.06 -0.004 12.64 12.72 0.763 0.00 81.40 314.159 0.401 0.127 -360 76320 0 81.40
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
5000 1.287 0.674 -1.20 -1.97 -0.118 9.13 9.21 0.553 61.50 80.20 523.599 1.287 0.674 -11820 55260 0.00102705 80.20
5000 1.214 0.634 -0.82 -1.59 -0.095 13.88 13.96 0.838 54.94 80.20 523.599 1.214 0.634 -9540 83760 0.000917498 80.20
5000 1.166 0.611 -0.53 -1.30 -0.078 18.02 18.10 1.086 49.24 80.20 523.599 1.166 0.611 -7800 108600 0.000822308 80.20
5000 1.102 0.577 -0.26 -1.03 -0.062 21.68 21.76 1.306 42.97 80.20 523.599 1.102 0.577 -6180 130560 0.000717599 80.20
5000 1.032 0.543 -0.01 -0.78 -0.047 24.99 25.07 1.504 36.06 80.20 523.599 1.032 0.543 -4680 150420 0.000602202 80.20
5000 0.975 0.513 0.19 -0.58 -0.035 26.98 27.06 1.624 30.33 80.20 523.599 0.975 0.513 -3480 162360 0.000506511 80.20
5000 0.923 0.487 0.36 -0.41 -0.025 28.27 28.35 1.701 24.96 80.20 523.599 0.923 0.487 -2460 170100 0.000416832 80.20
5000 0.855 0.451 0.53 -0.24 -0.014 29.97 30.05 1.803 17.61 80.30 523.599 0.855 0.451 -1440 180300 0.000294087 80.30
5000 0.791 0.417 0.63 -0.14 -0.008 31.86 31.94 1.916 10.03 80.40 523.599 0.791 0.417 -840 191640 0.000167501 80.40
5000 0.751 0.395 0.70 -0.07 -0.004 33.26 33.34 2.000 4.97 80.50 523.599 0.751 0.395 -420 200040 0.000082999 80.50
5000 0.734 0.388 0.74 -0.03 -0.002 34.95 35.03 2.102 0.00 80.60 523.599 0.734 0.388 -180 210180 0 80.60
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
7000 2.400 1.766 -2.87 -3.64 -0.218 16.99 17.07 1.024 84.60 79.40 733.039 2.400 1.766 -21840 102420 0.00141282 79.40
7000 2.082 1.537 -2.44 -3.21 -0.193 32.07 32.15 1.929 78.75 79.90 733.039 2.082 1.537 -19260 192900 0.001315125 79.90
7000 1.968 1.449 -1.85 -2.62 -0.157 39.06 39.14 2.348 70.21 80.10 733.039 1.968 1.449 -15720 234840 0.001172507 80.10
7000 1.859 1.376 -1.31 -2.08 -0.125 45.94 46.02 2.761 62.34 80.50 733.039 1.859 1.376 -12480 276120 0.001041078 80.50
7000 1.740 1.308 -0.90 -1.67 -0.100 60.04 60.12 3.607 55.55 80.70 733.039 1.740 1.308 -10020 360720 0.000927685 80.70
7000 1.619 1.202 -0.34 -1.11 -0.067 61.39 61.47 3.688 43.68 80.90 733.039 1.619 1.202 -6660 368820 0.000729456 80.90
7000 1.516 1.127 0.00 -0.77 -0.046 61.60 61.68 3.701 35.70 81.10 733.039 1.516 1.127 -4620 370080 0.00059619 81.10
7000 1.408 1.048 0.28 -0.49 -0.029 62.60 62.68 3.761 26.70 81.40 733.039 1.408 1.048 -2940 376080 0.00044589 81.40
7000 1.272 0.949 0.54 -0.23 -0.014 63.90 63.98 3.839 15.44 82.10 733.039 1.272 0.949 -1380 383880 0.000257848 82.10
7000 1.197 0.893 0.64 -0.13 -0.008 66.55 66.63 3.998 7.51 83.40 733.039 1.197 0.893 -780 399780 0.000125417 83.40
7000 1.102 0.818 0.71 -0.06 -0.004 69.58 69.66 4.180 0.00 83.50 733.039 1.102 0.818 -360 417960 0 83.50
0.4mm
Corrected Values
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s %
314.159 0.578 0.125 0.453 0.182 0.039 0.143 -4080 21000 0.000543251 82.60 25080 0.079 820.5868 0.049619 0.00350727 143 9.527786769
314.159 0.538 0.125 0.413 0.170 0.039 0.131 -2820 40380 0.000429357 82.10 43200 0.079 820.9153 0.085434 0.002771962 131 14.1589484
314.159 0.499 0.125 0.374 0.159 0.039 0.120 -1860 52500 0.000328155 81.80 54360 0.079 821.1124 0.107479 0.002118594 120 14.8654215
314.159 0.473 0.125 0.348 0.149 0.039 0.110 -1380 58800 0.000250834 81.50 60180 0.079 821.3095 0.118957 0.001619403 110 13.72290011
314.159 0.445 0.125 0.320 0.141 0.039 0.102 -960 64200 0.000174515 81.40 65160 0.079 821.3752 0.128791 0.001126682 102 11.14842882
314.159 0.442 0.125 0.317 0.133 0.039 0.094 -720 69180 0.000095858 81.40 69900 0.079 821.3752 0.13816 0.000618867 94 7.128164043
314.159 0.401 0.125 0.276 0.127 0.039 0.088 -360 76320 0 81.40 76680 0.079 821.3752 0.151561 0 88 0
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s %
523.599 1.287 0.131 1.156 0.674 0.069 0.605 -11820 55260 0.00102705 80.20 67080 0.079 822.1636 0.047685 0.003978428 605 11.38752298
523.599 1.214 0.131 1.083 0.634 0.069 0.565 -9540 83760 0.000917498 80.20 93300 0.079 822.1636 0.066324 0.003554062 565 15.15089618
523.599 1.166 0.131 1.035 0.611 0.069 0.542 -7800 108600 0.000822308 80.20 116400 0.079 822.1636 0.082745 0.00318533 542 17.65989875
523.599 1.102 0.131 0.971 0.577 0.069 0.508 -6180 130560 0.000717599 80.20 136740 0.079 822.1636 0.097204 0.002779724 508 19.31584395
523.599 1.032 0.131 0.901 0.543 0.069 0.474 -4680 150420 0.000602202 80.20 155100 0.079 822.1636 0.110256 0.002332717 474 19.70496418
523.599 0.975 0.131 0.844 0.513 0.069 0.444 -3480 162360 0.000506511 80.20 165840 0.079 822.1636 0.117891 0.001962044 444 18.91887032
523.599 0.923 0.131 0.792 0.487 0.069 0.418 -2460 170100 0.000416832 80.20 172560 0.079 822.1636 0.122668 0.00161466 418 17.20778228
523.599 0.855 0.131 0.724 0.451 0.069 0.382 -1440 180300 0.000294087 80.30 181740 0.079 822.0979 0.129204 0.001139189 382 13.99145848
523.599 0.791 0.131 0.660 0.417 0.069 0.348 -840 191640 0.000167501 80.40 192480 0.079 822.0322 0.13685 0.00064884 348 9.264538069
523.599 0.751 0.131 0.620 0.395 0.069 0.326 -420 200040 0.000082999 80.50 200460 0.079 821.9665 0.142535 0.000321509 326 5.103674706
523.599 0.734 0.131 0.603 0.388 0.069 0.319 -180 210180 0 80.60 210360 0.079 821.9008 0.149586 0 319 0
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s %
733.039 2.400 0.131 2.269 1.766 0.090 1.676 -21840 102420 0.00141282 79.40 124260 0.079 822.6892 0.045039 0.003909117 1676 10.47476212
733.039 2.082 0.131 1.951 1.537 0.090 1.447 -19260 192900 0.001315125 79.90 212160 0.079 822.3607 0.07693 0.003638806 1447 19.28244091
733.039 1.968 0.131 1.837 1.449 0.090 1.359 -15720 234840 0.001172507 80.10 250560 0.079 822.2293 0.090868 0.003244198 1359 21.6176125
733.039 1.859 0.131 1.728 1.376 0.090 1.286 -12480 276120 0.001041078 80.50 288600 0.079 821.9665 0.104697 0.002880548 1286 23.36353894
733.039 1.740 0.131 1.609 1.308 0.090 1.218 -10020 360720 0.000927685 80.70 370740 0.079 821.8351 0.134517 0.002566802 1218 28.23726904
733.039 1.619 0.131 1.488 1.202 0.090 1.112 -6660 368820 0.000729456 80.90 375480 0.079 821.7037 0.136259 0.002018324 1112 24.63094774
733.039 1.516 0.131 1.385 1.127 0.090 1.037 -4620 370080 0.00059619 81.10 374700 0.079 821.5723 0.135997 0.001649592 1037 21.54217869
733.039 1.408 0.131 1.277 1.048 0.090 0.958 -2940 376080 0.00044589 81.40 379020 0.079 821.3752 0.137598 0.001233729 958 17.64104674
733.039 1.272 0.131 1.141 0.949 0.090 0.859 -1380 383880 0.000257848 82.10 385260 0.079 820.9153 0.139942 0.000713437 859 11.56443777
733.039 1.197 0.131 1.066 0.893 0.090 0.803 -780 399780 0.000125417 83.40 400560 0.079 820.0612 0.145651 0.000347015 803 6.256168558
733.039 1.102 0.131 0.971 0.818 0.090 0.728 -360 417960 0 83.50 418320 0.079 819.9955 0.152121 0 728 0
Appendix D XVIII
Testing of concentric casing
Design analysis of a centrifugal disc pump for automotive applications
"5"/.
Casing Stage 1 Pressure v Flowrate
0
50000
100000
150000
200000
250000
300000
350000
400000
450000
500000
0 0.0002 0.0004 0.0006 0.0008 0.001 0.0012 0.0014 0.0016 0.0018 0.002
Flowrate m^3/s
PressureN/m^2
0
5
10
15
20
25
30
Efficency%
3000RPM 5000RPM 7000RPM 3000RPM Efficency 5000RPM Efficiency 7000RPM Efficiency
Casing Stage 1 80 Deg C Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.001 0.002 0.003 0.004 0.005 0.006
Q/(ND^3)
deltaP/(pN^2D^2)
3000RPM 5000RPM 7000RPM
Appendix D XIX
Testing of concentric casing
Design analysis of a centrifugal disc pump for automotive applications
!#5.
Casing Stage 2 4.5mm 0.4mm
Performance Flow Sweeps SI Units
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
3000 0.637 0.199 -0.32 -1.09 -0.065 4.87 4.95 0.297 41.82 81.40 314.159 0.637 0.199 -6540 29700 0.000698394 81.40
3000 0.591 0.186 -0.11 -0.88 -0.053 6.73 6.81 0.409 36.49 81.00 314.159 0.591 0.186 -5280 40860 0.000609383 81.00
3000 0.548 0.172 0.05 -0.72 -0.043 8.21 8.29 0.497 31.02 81.20 314.159 0.548 0.172 -4320 49740 0.000518034 81.20
3000 0.509 0.161 0.22 -0.55 -0.033 9.44 9.52 0.571 24.85 81.30 314.159 0.509 0.161 -3300 57120 0.000414995 81.30
3000 0.466 0.147 0.38 -0.39 -0.023 10.10 10.18 0.611 18.09 82.00 314.159 0.466 0.147 -2340 61080 0.000302103 82.00
3000 0.436 0.137 0.48 -0.29 -0.017 10.51 10.59 0.635 12.56 82.10 314.159 0.436 0.137 -1740 63540 0.000209752 82.10
3000 0.399 0.126 0.55 -0.22 -0.013 11.29 11.37 0.682 6.42 82.40 314.159 0.399 0.126 -1320 68220 0.000107214 82.40
3000 0.369 0.117 0.61 -0.16 -0.010 12.29 12.37 0.742 0.00 82.50 314.159 0.369 0.117 -960 74220 0 82.50
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
5000 1.465 0.768 -2.27 -3.04 -0.182 13.12 13.20 0.792 74.63 78.40 523.599 1.465 0.768 -18240 79200 0.001246321 78.40
5000 1.377 0.724 -1.69 -2.46 -0.148 17.93 18.01 1.081 67.03 78.40 523.599 1.377 0.724 -14760 108060 0.001119401 78.40
5000 1.275 0.672 -1.24 -2.01 -0.121 22.29 22.37 1.342 60.50 78.60 523.599 1.275 0.672 -12060 134220 0.00101035 78.60
5000 1.185 0.626 -0.68 -1.45 -0.087 27.43 27.51 1.651 50.46 78.60 523.599 1.185 0.626 -8700 165060 0.000842682 78.60
5000 1.117 0.591 -0.36 -1.13 -0.068 28.78 28.86 1.732 42.81 78.50 523.599 1.117 0.591 -6780 173160 0.000714927 78.50
5000 1.027 0.544 0.01 -0.76 -0.046 28.92 29.00 1.740 33.23 78.60 523.599 1.027 0.544 -4560 174000 0.000554941 78.60
5000 0.948 0.502 0.26 -0.51 -0.031 29.20 29.28 1.757 24.10 78.60 523.599 0.948 0.502 -3060 175680 0.00040247 78.60
5000 0.887 0.464 0.49 -0.28 -0.017 30.77 30.85 1.851 15.20 78.60 523.599 0.887 0.464 -1680 185100 0.00025384 78.60
5000 0.805 0.427 0.62 -0.15 -0.009 32.44 32.52 1.951 7.88 78.60 523.599 0.805 0.427 -900 195120 0.000131596 78.60
5000 0.730 0.387 0.68 -0.09 -0.005 34.26 34.34 2.060 0.00 78.60 523.599 0.730 0.387 -540 206040 0 78.60
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
7000 2.054 1.494 -3.02 -3.79 -0.227 16.24 16.32 0.979 90.21 81.40 733.039 2.054 1.494 -22740 97920 0.001506507 81.40
7000 2.003 1.460 -2.82 -3.59 -0.215 17.79 17.87 1.072 82.43 81.50 733.039 2.003 1.460 -21540 107220 0.001376581 81.50
7000 1.928 1.404 -2.00 -2.77 -0.166 36.50 36.58 2.195 73.25 82.10 733.039 1.928 1.404 -16620 219480 0.001223275 82.10
7000 1.834 1.335 -1.36 -2.13 -0.128 41.17 41.25 2.475 62.50 82.20 733.039 1.834 1.335 -12780 247500 0.00104375 82.20
7000 1.716 1.256 -0.87 -1.64 -0.098 49.40 49.48 2.969 56.89 82.30 733.039 1.716 1.256 -9840 296880 0.000950063 82.30
7000 1.668 1.217 -0.51 -1.28 -0.077 53.01 53.09 3.185 46.90 82.60 733.039 1.668 1.217 -7680 318540 0.00078323 82.60
7000 1.528 1.122 -0.05 -0.82 -0.049 54.55 54.63 3.278 36.87 82.80 733.039 1.528 1.122 -4920 327780 0.000615729 82.80
7000 1.365 1.002 0.32 -0.45 -0.027 57.94 58.02 3.481 23.84 83.20 733.039 1.365 1.002 -2700 348120 0.000398128 83.20
7000 1.233 0.907 0.55 -0.22 -0.013 60.93 61.01 3.661 12.73 84.10 733.039 1.233 0.907 -1320 366060 0.000212591 84.10
7000 1.074 0.791 0.67 -0.10 -0.006 65.93 66.01 3.961 0.00 84.00 733.039 1.074 0.791 -600 396060 0 84.00
0.4mm
Corrected Values
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s %
314.159 0.637 0.125 0.512 0.199 0.039 0.160 -6540 29700 0.000698394 81.40 36240 0.079 821.3752 0.07163 0.004508885 160 15.81862
314.159 0.591 0.125 0.466 0.186 0.039 0.147 -5280 40860 0.000609383 81.00 46140 0.079 821.638 0.091168 0.003934223 147 19.12716
314.159 0.548 0.125 0.423 0.172 0.039 0.133 -4320 49740 0.000518034 81.20 54060 0.079 821.5066 0.106834 0.003344467 133 21.05633
314.159 0.509 0.125 0.384 0.161 0.039 0.122 -3300 57120 0.000414995 81.30 60420 0.079 821.4409 0.119413 0.002679239 122 20.55246
314.159 0.466 0.125 0.341 0.147 0.039 0.108 -2340 61080 0.000302103 82.00 63420 0.079 820.981 0.125412 0.0019504 108 17.74016
314.159 0.436 0.125 0.311 0.137 0.039 0.098 -1740 63540 0.000209752 82.10 65280 0.079 820.9153 0.1291 0.001354175 98 13.97205
314.159 0.399 0.125 0.274 0.126 0.039 0.087 -1320 68220 0.000107214 82.40 69540 0.079 820.7182 0.137558 0.000692182 87 8.569726
314.159 0.369 0.125 0.244 0.117 0.039 0.078 -960 74220 0 82.50 75180 0.079 820.6525 0.148727 0 78 0
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s %
523.599 1.465 0.131 1.334 0.768 0.069 0.699 -18240 79200 0.001246321 78.40 97440 0.079 823.3462 0.069168 0.004827806 699 17.37361
523.599 1.377 0.131 1.246 0.724 0.069 0.655 -14760 108060 0.001119401 78.40 122820 0.079 823.3462 0.087184 0.004336163 655 20.99005
523.599 1.275 0.131 1.144 0.672 0.069 0.603 -12060 134220 0.00101035 78.60 146280 0.079 823.2148 0.103853 0.003913738 603 24.50978
523.599 1.185 0.131 1.054 0.626 0.069 0.557 -8700 165060 0.000842682 78.60 173760 0.079 823.2148 0.123363 0.003264252 557 26.28805
523.599 1.117 0.131 0.986 0.591 0.069 0.522 -6780 173160 0.000714927 78.50 179940 0.079 823.2805 0.12774 0.002769374 522 24.64444
523.599 1.027 0.131 0.896 0.544 0.069 0.475 -4560 174000 0.000554941 78.60 178560 0.079 823.2148 0.126771 0.002149645 475 20.86111
523.599 0.948 0.131 0.817 0.502 0.069 0.433 -3060 175680 0.00040247 78.60 178740 0.079 823.2148 0.126899 0.001559026 433 16.61374
523.599 0.887 0.131 0.756 0.464 0.069 0.395 -1680 185100 0.00025384 78.60 186780 0.079 823.2148 0.132607 0.000983286 395 12.0031
523.599 0.805 1.131 -0.326 0.427 0.069 0.358 -900 195120 0.000131596 78.60 196020 0.079 823.2148 0.139167 0.000509756 358 7.205432
523.599 0.730 0.131 0.599 0.387 0.069 0.318 -540 206040 0 78.60 206580 0.079 823.2148 0.146664 0 318 0
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s %
733.039 2.054 0.131 1.923 1.494 0.090 1.404 -22740 97920 0.001506507 81.40 120660 0.079 821.3752 0.043804 0.004168339 1404 12.94695
733.039 2.003 0.131 1.872 1.460 0.090 1.370 -21540 107220 0.001376581 81.50 128760 0.079 821.3095 0.046748 0.003808848 1370 12.93785
733.039 1.928 0.131 1.797 1.404 0.090 1.314 -16620 219480 0.001223275 82.10 236100 0.079 820.9153 0.085761 0.003384667 1314 21.97985
733.039 1.834 0.131 1.703 1.335 0.090 1.245 -12780 247500 0.00104375 82.20 260280 0.079 820.8496 0.094552 0.002887941 1245 21.82066
733.039 1.716 0.131 1.585 1.256 0.090 1.166 -9840 296880 0.000950063 82.30 306720 0.079 820.7839 0.111431 0.00262872 1166 24.99171
733.039 1.668 0.131 1.537 1.217 0.090 1.127 -7680 318540 0.00078323 82.60 326220 0.079 820.5868 0.118544 0.002167111 1127 22.67128
733.039 1.528 0.131 1.397 1.122 0.090 1.032 -4920 327780 0.000615729 82.80 332700 0.079 820.4554 0.120918 0.001703654 1032 19.8501
733.039 1.365 0.131 1.234 1.002 0.090 0.912 -2700 348120 0.000398128 83.20 350820 0.079 820.1926 0.127544 0.001101576 912 15.31483
733.039 1.233 0.131 1.102 0.907 0.090 0.817 -1320 366060 0.000212591 84.10 367380 0.079 819.6013 0.133661 0.000588216 817 9.559569
733.039 1.074 0.131 0.943 0.791 0.090 0.701 -600 396060 0 84.00 396660 0.079 819.667 0.144302 0 701 0
Appendix D XX
Testing of concentric casing
Design analysis of a centrifugal disc pump for automotive applications
!#5.
Casing Stage 2 Pressure v Flowrate
0
50000
100000
150000
200000
250000
300000
350000
400000
450000
500000
0 0.0002 0.0004 0.0006 0.0008 0.001 0.0012 0.0014 0.0016 0.0018 0.002
Flowrate m^3/s
PressureN/m^2
0
5
10
15
20
25
30
Efficiency%
3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency
Casing Stage 2 80 Deg C Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.001 0.002 0.003 0.004 0.005 0.006
Q/(ND^3)
deltaP/(pN^2D^2)
3000RPM 5000RPM 7000RPM
Appendix D XXI
Testing of concentric casing
Design analysis of a centrifugal disc pump for automotive applications
"+5/.
Casing Stage 3 6.75mm 0.4mm
Performance Flow Sweeps SI Units
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
3000 0.610 0.191 -0.38 -1.15 -0.069 5.09 5.17 0.310 49.62 80.60 314.159 0.610 0.191 -6900 31020 0.000828654 80.60
3000 0.533 0.167 0.00 -0.77 -0.046 6.42 6.50 0.390 33.42 80.50 314.159 0.533 0.167 -4620 39000 0.000558114 80.50
3000 0.497 0.157 0.13 -0.64 -0.038 7.41 7.49 0.449 28.02 80.50 314.159 0.497 0.157 -3840 44940 0.000467934 80.50
3000 0.459 0.145 0.30 -0.47 -0.028 8.75 8.83 0.530 22.70 80.50 314.159 0.459 0.145 -2820 52980 0.00037909 80.50
3000 0.416 0.133 0.45 -0.32 -0.019 10.06 10.14 0.608 15.87 80.40 314.159 0.416 0.133 -1920 60840 0.000265029 80.40
3000 0.365 0.116 0.57 -0.20 -0.012 11.34 11.42 0.685 6.59 80.40 314.159 0.365 0.116 -1200 68520 0.000110053 80.40
3000 0.344 0.109 0.62 -0.15 -0.009 12.31 12.39 0.743 0.00 80.50 314.159 0.344 0.109 -900 74340 0 80.50
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
5000 1.372 0.717 -2.07 -2.84 -0.170 11.86 11.94 0.716 72.41 82.10 523.599 1.372 0.717 -17040 71640 0.001209247 82.10
5000 1.277 0.667 -1.57 -2.34 -0.140 13.84 13.92 0.835 65.02 82.30 523.599 1.277 0.667 -14040 83520 0.001085834 82.30
5000 1.170 0.612 -1.08 -1.85 -0.111 15.65 15.73 0.944 56.04 82.40 523.599 1.170 0.612 -11100 94380 0.000935868 82.40
5000 1.073 0.567 -0.68 -1.45 -0.087 19.44 19.52 1.171 50.82 82.50 523.599 1.073 0.567 -8700 117120 0.000848694 82.50
5000 0.992 0.524 -0.35 -1.12 -0.067 24.32 24.40 1.464 40.98 82.60 523.599 0.992 0.524 -6720 146400 0.000684366 82.60
5000 0.882 0.466 0.06 -0.71 -0.043 27.15 27.23 1.634 29.89 82.70 523.599 0.882 0.466 -4260 163380 0.000499163 82.70
5000 0.794 0.422 0.33 -0.44 -0.026 29.35 29.43 1.766 19.64 83.10 523.599 0.794 0.422 -2640 176580 0.000327988 83.10
5000 0.714 0.378 0.50 -0.27 -0.016 31.66 31.74 1.904 9.39 84.20 523.599 0.714 0.378 -1620 190440 0.000156813 84.20
5000 0.651 0.345 0.58 -0.19 -0.011 34.02 34.10 2.046 0.00 84.30 523.599 0.651 0.345 -1140 204600 0 84.30
Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp
RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C
7000 1.923 1.403 -2.42 -3.19 -0.191 14.51 14.59 0.875 90.52 84.20 733.039 1.923 1.403 -19140 87540 0.001511684 84.20
7000 1.914 1.396 -2.22 -2.99 -0.179 16.80 16.88 1.013 84.90 84.30 733.039 1.914 1.396 -17940 101280 0.00141783 84.30
7000 1.882 1.381 -2.04 -2.81 -0.169 26.38 26.46 1.588 70.84 84.40 733.039 1.882 1.381 -16860 158760 0.001183028 84.40
7000 1.763 1.285 -1.33 -2.10 -0.126 33.92 34.00 2.040 60.98 85.10 733.039 1.763 1.285 -12600 204000 0.001018366 85.10
7000 1.663 1.219 -0.89 -1.66 -0.100 45.36 45.44 2.726 55.08 85.20 733.039 1.663 1.219 -9960 272640 0.000919836 85.20
7000 1.526 1.121 -0.30 -1.07 -0.064 51.10 51.18 3.071 40.92 85.30 733.039 1.526 1.121 -6420 307080 0.000683364 85.30
7000 1.323 0.972 0.23 -0.54 -0.032 56.54 56.62 3.397 24.98 85.20 733.039 1.323 0.972 -3240 339720 0.000417166 85.20
7000 1.158 0.856 0.48 -0.29 -0.017 61.24 61.32 3.679 11.62 85.70 733.039 1.158 0.856 -1740 367920 0.000194054 85.70
7000 1.020 0.753 0.59 -0.18 -0.011 65.61 65.69 3.941 0.00 85.80 733.039 1.020 0.753 -1080 394140 0 85.80
0.4mm
Corrected Values
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s %
314.159 0.610 0.125 0.485 0.191 0.039 0.152 -6900 31020 0.000828654 80.60 37920 0.079 821.9008 0.074902 0.005349854 152 20.67274
314.159 0.533 0.125 0.408 0.167 0.039 0.128 -4620 39000 0.000558114 80.50 43620 0.079 821.9665 0.086154 0.003603227 128 19.01948
314.159 0.497 0.125 0.372 0.157 0.039 0.118 -3840 44940 0.000467934 80.50 48780 0.079 821.9665 0.096346 0.003021018 118 19.34392
314.159 0.459 0.125 0.334 0.145 0.039 0.106 -2820 52980 0.00037909 80.50 55800 0.079 821.9665 0.110211 0.002447434 106 19.95587
314.159 0.416 0.125 0.291 0.133 0.039 0.094 -1920 60840 0.000265029 80.40 62760 0.079 822.0322 0.123948 0.001711047 94 17.69491
314.159 0.365 0.125 0.240 0.116 0.039 0.077 -1200 68520 0.000110053 80.40 69720 0.079 822.0322 0.137694 0.000710511 77 9.964799
314.159 0.344 0.125 0.219 0.109 0.039 0.070 -900 74340 0 80.50 75240 0.079 821.9665 0.148607 0 70 0
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s %
523.599 1.372 0.131 1.241 0.717 0.069 0.648 -17040 71640 0.001209247 82.10 88680 0.079 820.9153 0.063136 0.004684195 648 16.54877
523.599 1.277 0.131 1.146 0.667 0.069 0.598 -14040 83520 0.001085834 82.30 97560 0.079 820.7839 0.069469 0.004206136 598 17.71471
523.599 1.170 0.131 1.039 0.612 0.069 0.543 -11100 94380 0.000935868 82.40 105480 0.079 820.7182 0.075115 0.003625221 543 18.17962
523.599 1.073 0.131 0.942 0.567 0.069 0.498 -8700 117120 0.000848694 82.50 125820 0.079 820.6525 0.089606 0.00328754 498 21.44231
523.599 0.992 0.131 0.861 0.524 0.069 0.455 -6720 146400 0.000684366 82.60 153120 0.079 820.5868 0.109058 0.002650992 455 23.0308
523.599 0.882 0.131 0.751 0.466 0.069 0.397 -4260 163380 0.000499163 82.70 167640 0.079 820.5211 0.119409 0.001933581 397 21.07801
523.599 0.794 0.131 0.663 0.422 0.069 0.353 -2640 176580 0.000327988 83.10 179220 0.079 820.2583 0.127698 0.001270509 353 16.65213
523.599 0.714 0.131 0.583 0.378 0.069 0.309 -1620 190440 0.000156813 84.20 192060 0.079 819.5356 0.136967 0.000607438 309 9.746765
523.599 0.651 0.131 0.520 0.345 0.069 0.276 -1140 204600 0 84.30 205740 0.079 819.4699 0.146735 0 276 0
Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency
Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s %
733.039 1.923 0.131 1.792 1.403 0.090 1.313 -19140 87540 0.001511684 84.20 106680 0.079 819.5356 0.038816 0.004182663 1313 12.28229
733.039 1.914 0.131 1.783 1.396 0.090 1.306 -17940 101280 0.00141783 84.30 119220 0.079 819.4699 0.043382 0.00392298 1306 12.94286
733.039 1.882 0.131 1.751 1.381 0.090 1.291 -16860 158760 0.001183028 84.40 175620 0.079 819.4042 0.06391 0.003273308 1291 16.09321
733.039 1.763 0.131 1.632 1.285 0.090 1.195 -12600 204000 0.001018366 85.10 216600 0.079 818.9443 0.078867 0.002817707 1195 18.45842
733.039 1.663 0.131 1.532 1.219 0.090 1.129 -9960 272640 0.000919836 85.20 282600 0.079 818.8786 0.102907 0.002545085 1129 23.02442
733.039 1.526 0.131 1.395 1.121 0.090 1.031 -6420 307080 0.000683364 85.30 313500 0.079 818.8129 0.114168 0.001890793 1031 20.7793
733.039 1.323 0.131 1.192 0.972 0.090 0.882 -3240 339720 0.000417166 85.20 342960 0.079 818.8786 0.124887 0.001154252 882 16.22123
733.039 1.158 0.131 1.027 0.856 0.090 0.766 -1740 367920 0.000194054 85.70 369660 0.079 818.5501 0.134663 0.000536926 766 9.364752
733.039 1.020 0.131 0.889 0.753 0.090 0.663 -1080 394140 0 85.80 395220 0.079 818.4844 0.143986 0 663 0
Appendix D XXII
Testing of concentric casing
Design analysis of a centrifugal disc pump for automotive applications
"+5/.
Casing Stage 3 Pressure v Flowrate
0
50000
100000
150000
200000
250000
300000
350000
400000
450000
500000
0 0.0002 0.0004 0.0006 0.0008 0.001 0.0012 0.0014 0.0016 0.0018 0.002
Flowrate m^3/s
PressureN/m^2
0
5
10
15
20
25
30
Efficiency%
3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency
Casing Stage 3 80 Deg C Dimensionless
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.001 0.002 0.003 0.004 0.005 0.006
Q/(ND^3)
deltaP/(pN^2D^2)
3000RPM 5000RPM 7000RPM
Appendix E XXIII
Oil viscosity data
Design analysis of a centrifugal disc pump for automotive applications
%( 9 - 6 "6
-
10w30 Oil Viscosity v Temperature Chart
0
0.001
0.002
0.003
0.004
0.005
0.006
0.007
-30 -20 -10 0 10 20 30 40 50 60 70 80 90 100 110 120
Temperature Deg C
KinematicViscositym^2/s
10w30 Oil Viscosity Cold Test Min Cold Test Max Hot Test Min Hot Test Max
Appendix F XXIV
Casing modification drawings
Design analysis of a centrifugal disc pump for automotive applications
%:
Appendix F XXV
Casing modification drawings
Design analysis of a centrifugal disc pump for automotive applications
Appendix G XXVI
Design of volute casing
Design analysis of a centrifugal disc pump for automotive applications
%; -
Appendix G XXVII
Design of volute casing
Design analysis of a centrifugal disc pump for automotive applications
-
Angle Degrees Area mm^2 Impeller Outer Radius Impeller Inner Radius Running Clearance Dist Above 22mm Impeller Volute Radius mm
360 69.00 39.5 11.43 40 3.14 43.14
350 67.08 39.5 11.43 40 3.05 43.05
340 65.17 39.5 11.43 40 2.96 42.96
330 63.25 39.5 11.43 40 2.88 42.88
320 61.33 39.5 11.43 40 2.79 42.79
310 59.42 39.5 11.43 40 2.70 42.70
300 57.50 39.5 11.43 40 2.61 42.61
290 55.58 39.5 11.43 40 2.53 42.53
280 53.67 39.5 11.43 40 2.44 42.44
270 51.75 39.5 11.43 40 2.35 42.35
260 49.83 39.5 11.43 40 2.27 42.27
250 47.92 39.5 11.43 40 2.18 42.18
240 46.00 39.5 11.43 40 2.09 42.09
230 44.08 39.5 11.43 40 2.00 42.00
220 42.17 39.5 11.43 40 1.92 41.92
210 40.25 39.5 11.43 40 1.83 41.83
200 38.33 39.5 11.43 40 1.74 41.74
190 36.42 39.5 11.43 40 1.66 41.66
180 34.50 39.5 11.43 40 1.57 41.57
170 32.58 39.5 11.43 40 1.48 41.48
160 30.67 39.5 11.43 40 1.39 41.39
150 28.75 39.5 11.43 40 1.31 41.31
140 26.83 39.5 11.43 40 1.22 41.22
130 24.92 39.5 11.43 40 1.13 41.13
120 23.00 39.5 11.43 40 1.05 41.05
110 21.08 39.5 11.43 40 0.96 40.96
100 19.17 39.5 11.43 40 0.87 40.87
90 17.25 39.5 11.43 40 0.78 40.78
80 15.33 39.5 11.43 40 0.70 40.70
70 13.42 39.5 11.43 40 0.61 40.61
60 11.50 39.5 11.43 40 0.52 40.52
50 9.58 39.5 11.43 40 0.44 40.44
40 7.67 39.5 11.43 40 0.35 40.35
30 5.75 39.5 11.43 40 0.26 40.26
20 3.83 39.5 11.43 40 0.17 40.17
10 1.92 39.5 11.43 40 0.09 40.09
0 0.00 39.5 11.43 40 0.00 40.00
Area v Angle for Volute Casing
0.00
10.00
20.00
30.00
40.00
50.00
60.00
70.00
80.00
0 50 100 150 200 250 300 350 400
Angle Degrees
Areamm^2
Area Profile for Volute Casing
Appendix G XXVIII
Design of volute casing
Design analysis of a centrifugal disc pump for automotive applications
Volute Casing Design Radius v Angle
0
10
20
30
40
50
360
350
340
330
320
310
300
290
280
270
260
250
240
230
220
210
200
190180170160
150
140
130
120
110
100
90
80
70
60
50
40
30
20
10
0
Impeller Outer Diameter Running Clearance 0.5mm Radially Volute Profile Impeller Inner Diameter

Complete Final Year Project Report.PDF

  • 1.
    U N IV E R S I T Y School of Engineering BEng Honours Degree in Mechanical Technology Final Year Project Design analysis of a centrifugal disc pump for automotive applications Author – Neal Coope Supervisor – Professor Peter White Submitted in partial fulfilment of the requirements for the Degree of Bachelor of Engineering in Mechanical Technology Date of Submission – 30th April 2004
  • 2.
    Declaration i Design analysisof a centrifugal disc pump for automotive applications !" !##$
  • 3.
    Summary ii Design analysisof a centrifugal disc pump for automotive applications % !##& !##$' $##'### ( ! # ##) & ( * ' + ' !) ,-. & !- '! ) / 0 )# &# ' !!. # $ / 0 !1. ' * ' 2 '
  • 4.
    Acknowledgements iii Design analysisof a centrifugal disc pump for automotive applications 3 3 4 '5 6 7 3 ' 8 9 4 '9 7 '9 7 :; 6 < ' * 8 9 = '3 7 : 2 ' 8 3 4 '9 6 7 > 2 ' 8 9 = '3 8 6 '9 7 :; 6 < ' 8 9 0 5 '3 8 6 '9 7 :; 6 < ' 8 9 0 9 3 '9 '9 7 : ; 6 < ' * 8 '9 '9 7 :; 6 < ' * 8 3 < '= ; '9 7 :; 6 < ' ' * 8
  • 5.
    Acknowledgements iv Design analysisof a centrifugal disc pump for automotive applications 9 +9 '? ' & @ 6 ;
  • 6.
    Contents v Design analysisof a centrifugal disc pump for automotive applications 9 2 ? ? ? ? * ? ) A ) ) # ; ) ) ) ; ) ) ! & ) & 9 : - ! A , ! # , ! ) " ! ! * )) ! & )& & A )- & # 3 )- & ) )- & ! )1 $ A !# $ # !#
  • 7.
    Contents vi Design analysisof a centrifugal disc pump for automotive applications $ ) * !) $ ! 3 !& $ & !$ $ $ 2 !- $ - 9 !1 $ B &# - A && - # && - ) ' * &$ - ! 2 &$ - & 9 &B - $ &, - - ' $# B A $! B # $! B ) ' * $- B ! 2 $- B & 9 $, B $ $" , A 9 -) , # -) , ) -& , ! C -- 1 A 9 ' -1 1 # 9 -1 1 ) B# B! = B$
  • 8.
    Contents vii Design analysisof a centrifugal disc pump for automotive applications A & !- & !- ! C ! C ) C ) C =A D # $ D # $ D A 9 D &### 36 D -### 36 D ,### 36 D C 9 A DC 2 ! !- DC 2 ! !- DC 2 ) & &,- DC 2 ) & &,- DC 2 ! $ - D D 2 ! $ - DD 2 & B ,- DD 2 & B ,- DD 7 A % DD % )# &# % DD ; A DD C DD C ) DD C ! DDC
  • 9.
    Contents viii Design analysisof a centrifugal disc pump for automotive applications & DDC <A 9 DDC DDC DDC 9 DDC DDC C DDC
  • 10.
    List of figuresix Design analysis of a centrifugal disc pump for automotive applications Figure 1.10 A C / 0 / 0 ! Figure 1.11 A !9 0 ! Figure 1.12 A C & Figure 1.15 A & Figure 1.20 A ? $ Figure 1.21 A !9 $ Figure 1.24 A - Figure 1.33 A 9 B Figure 2.00 A 1 Figure 2.01 A 3 1 Figure 2.10 A 0 " Figure 2.11 A 9 )# Figure 2.23 A ( )& Figure 2.30 A 7 )$ Figure 3.10 A ? )- Figure 3.11 A )B Figure 3.12 A )B Figure 3.13 A ? 8 ), Figure 3.14 A ), Figure 3.20 A !##& )1 Figure 3.21 A )" Figure 4.00 A !) Figure 4.10 A 7* !! Figure 6.00 A $! Figure 6.02 A $& Figure 6.04 A ! !- $& Figure 6.05 A ) & &,- $$ Figure 6.06 A ! $ - $$ Figure 6.07 A & B ,- $$ Figure 7.00 A -) Figure 7.02 A -! Figure 7.03 A 9 -& Figure 7.22 A ; 8 -B
  • 11.
    List of figuresx Design analysis of a centrifugal disc pump for automotive applications Figure 7.25 A C -,
  • 12.
    List of tablesxi Design analysis of a centrifugal disc pump for automotive applications Table 4.20 A * !$ Table 4.21 A 3 !$ Table 4.30 A !$ Table 4.30 A !- Table 4.48 A !, Table 4.61 A &) Table 5.24 A &B Table 5.51 A 2 $) Table 6.03 A $& Table 6.26 A $, Table 7.22 A 3 -B Table 8.00 A B#
  • 13.
    List of graphsxii Design analysis of a centrifugal disc pump for automotive applications Graph 2.20 A )! Graph 4.42 A & !- E2F !- Graph 4.43 A & !- E2F !B Graph 4.44 A ! E2F !B Graph 4.45 A ! E2F !B Graph 4.46 A ) E2F !, Graph 4.47 A ) E2F !, Graph 4.52 A & !- E9 F !1 Graph 4.53 A & !- E9 F !" Graph 4.54 A ! E9 F !" Graph 4.55 A ! E9 F !" Graph 4.56 A ) E9 F &# Graph 4.57 A ) E9 F &# Graph 4.63 A )# &# &! Graph 5.01 A )# &# && Graph 5.22 A # $ E2F &- Graph 5.23 A # $ E2F &- Graph 5.53 A # $ E9 F &, Graph 5.34 A # $ E9 F &, Graph 5.40 A )# &# &1 Graph 5.41 A 7 &### 36 &" Graph 5.42 A 7 -### 36 &" Graph 5.43 A 7 ,### 36 &" Graph 6.22 A ! !- E2F $B Graph 6.23 A ) & &,- E2F $B Graph 6.24 A ! $ - E2F $B Graph 6.25 A & B ,- E2F $, Graph 6.32 A ! !- E9 F $1
  • 14.
    List of graphsxiii Design analysis of a centrifugal disc pump for automotive applications Graph 6.33 A ) & &,- E9 F $1 Graph 6.34 A ! $ - E9 F $" Graph 6.35 A & B ,- E9 F $" Graph 7.01 A -! Graph 7.10 A -$ Graph 7.24 A -,
  • 15.
    List of equationsxiv Design analysis of a centrifugal disc pump for automotive applications Equation 1.13 A 7 & Equation 1.14 A G & Equation 1.22 A 9 $ Equation 1.23 A G - Equation 1.30 A 3 B Equation 1.31 A 9 B Equation 1.32 A 9 , Equation 2.12 A )) Equation 2.21 A 3 )! Equation 2.22 A 7 )! Equation 4.11 A 3 !! Equation 4.40 A 3 !- Equation 4.41 A 7 !- Equation 4.50 A 9 !1 Equation 4.51 A 9 !1 Equation 4.60 A &# Equation 4.62 A 9 &! Equation 5.00 A && Equation 5.20 A 3 &$ Equation 5.21 A 7 &$ Equation 5.30 A 9 &B Equation 5.31 A 9 &B Equation 5.32 A 9 &B Equation 5.50 A $) Equation 6.01 A 2 E F $! Equation 6.20 A 3 $- Equation 6.21 A 7 $- Equation 6.30 A 9 $1 Equation 6.31 A 9 $1 Equation 7.11 A ; C -$ Equation 7.12 A C $ -- Equation 7.20 A -- Equation 7.21 A 6 8 --
  • 16.
    List of symbolsxv Design analysis of a centrifugal disc pump for automotive applications H 2 E( ! F C E (F 9 E F ( 9 I 9 J 9 E ( ! F G E7 F K!### 9 9 E F C C E (F E7F L3 3 E( ! F 2 E36F M C E & (F 9 E F N 2 E (F O 7 E.F 2 < E (! F 5 5 E F = = E.F ! E (F 7 5 E.F C ; E (F M ; $ E ! F P E F ) "# E ! F ! )1# E ! F & !,# E ! F
  • 17.
    Introduction xvi Design analysisof a centrifugal disc pump for automotive applications )")# ' ' 23 / 0 / 0 !### 2 7 ' 9 ? ' 9 = '3 7 : 2 ' 2 7 !##) !##! !##&' 2 7 ' 8 5 & -. 1. % !##& !##$ 8 8 * ' ' ' ' * )# &# 9 ' 9 9 4
  • 18.
    Chapter 1 1 Introductionto fluids Design analysis of a centrifugal disc pump for automotive applications ) # ; ; ' 0 5 8 ' 4 ' ' ) ) ; = ' / 0 ' ; / 0 / 0 C / 0 / 0 / 0 ' / 0 ; ) )# / 0 / 0
  • 19.
    Chapter 1 2 Introductionto fluids Design analysis of a centrifugal disc pump for automotive applications Figure 1.10 – Velocity profiles for ‘ideal’ and ‘real’ fluids [1] ; ' &B# > ; ) )) !9 / 0 0 Q ' Figure 1.11 – 2D velocity profile for fluid passing through rotating plates [2] ' I H ( ; ) )! 7* ) )&
  • 20.
    Chapter 1 3 Introductionto fluids Design analysis of a centrifugal disc pump for automotive applications Figure 1.12 – Velocity profile of a viscous fluid [3] du dy t m= Equation 1.13 – Elementary law of fluid friction [4] ; H ( ' I' J ' ' 7* ) )$ m u r = Equation 1.14 – Kinematic viscosity relationship [5] Figure 1.15 – Newtonian fluid characteristics [6] ) ! ; ' 5
  • 21.
    Chapter 1 4 Introductionto fluids Design analysis of a centrifugal disc pump for automotive applications Q; ) !# E!F E)F Figure 1.20 – Laminar and turbulent flow patterns [7] ; ) !) !9 ' E 7F Figure 1.21 – 2D velocity profiles for laminar and turbulent flow [8] ' I 9 ' J C 7* ) !! E 7F I 7* ) !& E 7F 3 RE RE Density (kg/m ) Speed V (m/s) Diameter D (m) Reynolds Number N Dynamic Viscosity (kg/ms) VD N r m r m ´ ´ = = Equation 1.22 – Dynamic viscosity Reynolds number relationship [9] 2 1
  • 22.
    Chapter 1 5 Introductionto fluids Design analysis of a centrifugal disc pump for automotive applications RE RE Speed V (m/s) Diameter D (m) Reynolds Number N Kinematic Viscosity (kg/ms) VD N u u ´ = = Equation 1.23 – Kinematic viscosity Reynolds number relationship [10] 2 * ' E 7 F !### ; ) !$ R Figure 1.24 – Reynolds number against wall friction [11] ) & 9 : ; * 2 ' 8 7* 2 * NRECRIT
  • 23.
    Chapter 1 6 Introductionto fluids Design analysis of a centrifugal disc pump for automotive applications 7* ) &# 2 2 3 P Q N D ND f r æ öD ÷ç= ÷ç ÷÷çè ø Equation 1.30 – Pressure and volume flow rate relationship [12] 7* ) &# 7* ) &) 7* ) &! ; ) && ( ) ( ) 2 2 23 Pressure generated P (N/m ) Dimensionless Group = Density (kg/m ) Speed (rad/s) Diameter D (m)r ´ W ´ V Equation 1.31 – Dimensionless pressure group ( ) 3 3 Flow rate Q (m /s) Dimensionless Group = Speed (rad/s) Diameter D (m)W ´ Equation 1.32 – Dimensionless flow group Figure 1.33 – Dimensionless pressure against flow rate curve [13] ; ) &&
  • 24.
    Chapter 2 7 Introductionto pumps and centrifugal disc pumps Design analysis of a centrifugal disc pump for automotive applications ! ! # 3 ' * * ' ' ' ' * ' * ' / 0 ' / 0 ' ' ; ! ## * ' ; / 0 '
  • 25.
    Chapter 2 8 Introductionto pumps and centrifugal disc pumps Design analysis of a centrifugal disc pump for automotive applications ; ' ' * ; ! #) ' ' ' ' ' ' * Figure 2.00 – Impeller design for a high performance centrifugal pump [14] Figure 2.01 – Positive displacement or gear type pump [15] * 4
  • 26.
    Chapter 2 9 Introductionto pumps and centrifugal disc pumps Design analysis of a centrifugal disc pump for automotive applications ! ) )")# ' ' 23 E )#B))$!F / 0 ; ! )# Figure 2.10 – Tesla’s original drawings taken from US Patent No. 1061142 [16] / 0 / 0 ' ' / 0 ' / 0 0 ; )"B# ; B#0 ' ' 3 4 >
  • 27.
    Chapter 2 10 Introductionto pumps and centrifugal disc pumps Design analysis of a centrifugal disc pump for automotive applications 3 4 7 ' 0 ' )"B#0 2 < 0 23 2 8 &# / 0 ' 9 ' 9 4 / 0 ' ; ! )) E 7F' 7* ! )! E ) F' ' ' Figure 2.11 – Discflo Corporation developed disc pump impeller [17]
  • 28.
    Chapter 2 11 Introductionto pumps and centrifugal disc pumps Design analysis of a centrifugal disc pump for automotive applications ( ) ( ) 23 RE 2 RE 2 Density (kg/m ) Speed (rad/s) Separation h (m) Reynolds Number N = Dynamic Viscosity (kg/ms) Speed (rad/s) Separation h (m) Reynolds Number N = Kinematic Viscosity (m /s) or r m n ´ W ´ W ´ Equation 2.12 – Reynolds number for disc to disc separation [18] ' ' )' ' 5 * ' 9 9#!-(#& [19] ! ! * ' =2-&)B 267 3 1 ! * ' * < ! !#
  • 29.
    Chapter 2 12 Introductionto pumps and centrifugal disc pumps Design analysis of a centrifugal disc pump for automotive applications Pump Performance 0.00 5.00 10.00 15.00 20.00 25.00 30.00 35.00 40.00 45.00 50.00 0.00 20.00 40.00 60.00 80.00 100.00 120.00 Flow (L/min) Head(m) 0.00 5.00 10.00 15.00 20.00 25.00 30.00 35.00 40.00 45.00 50.00 PumpEfficiency(%) Graph 2.20 – Centrifugal pump performance plot * < ! !# ' ' ' ' 7* ! !)' 7* ! !! Pressure generated P = Pressure at Outlet - Pressure at InletD Equation 2.21 – Pressure generated by a centrifugal pump [20] Pressure generated P Flow rate Q Efficiency % = Power h D ´ Equation 2.22 – Efficiency of a centrifugal pump [21] =2-&)B ' ; ! !& ( =2-&)B' E)F E!F E&F E$F E-F * EBF E,F
  • 30.
    Chapter 2 13 Introductionto pumps and centrifugal disc pumps Design analysis of a centrifugal disc pump for automotive applications Figure 2.23 – Conventional centrifugal pump testing rig/circuit ! & !### 2 7 ' 9 ? ' 9 = '3 7 : ' $##'### ( ! E$# F # ##) & ( EB# ( F ,'### 36 ' ' 0 3 '9 ' ; ! &# ' E)F' E&F E$F E!F 7 2 5 3 4 6 1
  • 31.
    Chapter 2 14 Introductionto pumps and centrifugal disc pumps Design analysis of a centrifugal disc pump for automotive applications ' EBF E-F Figure 2.30 – Exploded view of the centrifugal disc pump prototype 9 !##& =2-&)B' 1 2 3 4 5 6
  • 32.
    Chapter 3 15 Centrifugaldisc pump prototype and test rig modifications Design analysis of a centrifugal disc pump for automotive applications " & # 3 ')# &# ' !##&' * & -. 1. [19] 4 * 8 & ) !##&' ' * * / 0E1# F ' ; & )# E)F Figure 3.10 – Leakage path from the rear of the centrifugal disc pump prototype ' 2G; B##&+ !S 2G; B##&+ !S 2G; 8 1
  • 33.
    Chapter 3 16 Centrifugaldisc pump prototype and test rig modifications Design analysis of a centrifugal disc pump for automotive applications ' ' ; & )) &9 9 E)F'2G; B##&+!S E!F E&F Figure 3.11 – Centrifugal disc pump prototype bearing modifications 4 ' ) - E)F ; & )!' Figure 3.12 – Centrifugal disc pump prototype impeller pressure balance holes !##&' 8 ' ; & )& E)F 8 E!F E&F 123 1
  • 34.
    Chapter 3 17 Centrifugaldisc pump prototype and test rig modifications Design analysis of a centrifugal disc pump for automotive applications Figure 3.13 – Leakage path from the outlet port and pump body joint of the centrifugal disc pump prototype ' !& )#+B G+) 6 2 )) )#+B G+) 4 ' ' 8 ' ' 8 ' 8 ; & )$ E)F 8 Figure 3.14 – Aluminium outlet port of centrifugal disc pump prototype 1 3 2 1
  • 35.
    Chapter 3 18 Centrifugaldisc pump prototype and test rig modifications Design analysis of a centrifugal disc pump for automotive applications & ! ' !##& ; & !# !##& "# E)F ' E!F E&F )- ' E$F !# E-F !! 4 !##& Figure 3.20 – Centrifugal disc pump prototype test rig early 2003 ; & !)' "# E)F E!F E&F > !! 2 3 4 1 5
  • 36.
    Chapter 3 19 Centrifugaldisc pump prototype and test rig modifications Design analysis of a centrifugal disc pump for automotive applications > E$F E-F 3 B### 36 '; & !) * ,### 36 ' ,T) EBF E,F E1F Figure 3.21 – Centrifugal disc pump prototype modified test rig 1 2 3 4 5 6 7 8
  • 37.
    Chapter 4 20 Testingof existing impeller configurations Design analysis of a centrifugal disc pump for automotive applications # $ % $ # ' ' E F' * ! * ' ' E)F & !- '! ) ; $ ## A ; A E?( F 3 A E CF 3 A E CF 2 A E36F * * A E F 3 A E4F ; A E F ' +$# )$# ' )# &# ' !# &# ,- 1- *
  • 38.
    Chapter 4 21 Testingof existing impeller configurations Design analysis of a centrifugal disc pump for automotive applications Figure 4.00 – Centrifugal disc pump prototype impeller disc to disc separations $ ) * * ; $ )# ' =2-)&B 4 E)F ' E)$F EBF E)&F E)!F )# E))F )## * B ' Q 7* $ )) 1
  • 39.
    Chapter 4 22 Testingof existing impeller configurations Design analysis of a centrifugal disc pump for automotive applications Figure 4.10 – Equipment used on centrifugal disc pump prototype test rig 6 Pressure (mV) Pressure (Bar) 100 ´ = Equation 4.11 – Pressure conversion E!F E),F E-F ' E$F ) E)-F !##&' E)BF ' ' 9 1 2 34 5 6 7 8 9 10 13 11 14 12 16 15 17
  • 40.
    Chapter 4 23 Testingof existing impeller configurations Design analysis of a centrifugal disc pump for automotive applications ,- 1- * E"F * ' ? 3 E)#F &' ,T) E1F E,F ,### 36 * ' E&F ' !' $ ! 3 * ; ' * ,T) = ' $ !# * ' ' ' = * * *
  • 41.
    Chapter 4 24 Testingof existing impeller configurations Design analysis of a centrifugal disc pump for automotive applications Speed Torque Power Speed Torque Power RPM Nm kW RPM Nm kW 0 0.000 0.000 0 0.000 0.000 1000 0.180 0.028 1000 0.110 0.011 2000 0.202 0.042 2000 0.121 0.025 3000 0.205 0.063 3000 0.125 0.039 4000 0.208 0.086 4000 0.129 0.054 5000 0.214 0.111 5000 0.131 0.069 6000 0.216 0.136 6000 0.132 0.082 7000 0.212 0.160 7000 0.131 0.090 Room Temp Oil 80 deg C Oil Table 4.20 – Centrifugal disc pump prototype residual torque and power consumption * ' = $ !) POSITION mV Inlet 0.77 Outlet -0.08 Table 4.21 – Pressure transducer offsets for centrifugal disc pump prototype test rig $ & * !' & !- '! ) ' ' ' ' ' * * ' $ &# * Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C 0 0.000 0.000 1.19 0.42 0.025 0.44 0.52 0.031 0.00 23.60 Table 4.30 – Centrifugal disc pump prototype test data collection 2 * ' $ &)
  • 42.
    Chapter 4 25 Testingof existing impeller configurations Design analysis of a centrifugal disc pump for automotive applications Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % 314.159 1.035 0.327 -660 34320 0.000228957 29.00 34980 0.079 855.802 0.066357835 0.001478164 264 3.03368025 Table 4.31 – Centrifugal disc pump prototype corrected data ; ' E( ! F E & (F E2 A F $ $ 2 5 ' 7* $ $# 7* $ $) E( ! F E & (F 2 2 2 Pressure generated P (N/m ) = Pressure at Outlet (N/m ) - Pressure at Inlet (N/m )V Equation 4.40 – Pressure generated by centrifugal disc pump prototype 2 3 Pressure generated P (N/m ) Flow rate Q (m /s) Efficiency % = Power (Nm/s) h ´V Equation 4.41 – Efficiency of the centrifugal disc pump prototype < $ $! < $ $& 2 & !- E2 A F 3.25mm Room Temp Pressure v Flow Rate 0 50000 100000 150000 200000 250000 300000 350000 400000 450000 500000 0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001 Flowrate m^3/s PressureN/m^2 0 5 10 15 20 25 Efficiency% 3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency Graph 4.42 – 3.25mm separation at room temperature (SI)
  • 43.
    Chapter 4 26 Testingof existing impeller configurations Design analysis of a centrifugal disc pump for automotive applications 3.25mm 80 Deg C Pressure v Flowrate 0 50000 100000 150000 200000 250000 300000 350000 400000 450000 500000 0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001 Flowrate m^3/s PressureN/m^2 0 5 10 15 20 25 Efficiency% 3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency Graph 4.43 – 3.25mm separation at elevated temperature (SI) < $ $$ < $ $- 2 ! E2 A F 2mm Room Temp Pressure v Flowrate 0 50000 100000 150000 200000 250000 300000 350000 400000 450000 500000 0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001 Flowrate m^3/s PressureN/m^2 0 5 10 15 20 25 Efficiency% 3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency Graph 4.44 – 2mm separation at room temperature (SI) 2mm 80 Deg C Pressure v Flowrate 0 50000 100000 150000 200000 250000 300000 350000 400000 450000 500000 0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001 Flowrate m^3/s PressureN/m^2 0 5 10 15 20 25 Efficiency% 3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency Graph 4.45 – 2mm separation at elevated temperature (SI) < $ $B < $ $, 2 ) E2 A F
  • 44.
    Chapter 4 27 Testingof existing impeller configurations Design analysis of a centrifugal disc pump for automotive applications 1mm Room Temp Pressure v Flowrate 0 50000 100000 150000 200000 250000 300000 350000 400000 450000 500000 0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001 Flowrate m^3/s PressureN/m^2 0 5 10 15 20 25 Efficiency% 3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency Graph 4.46 – 1mm separation at room temperature (SI) 1mm 80 Deg C Pressure v Flowrate 0 50000 100000 150000 200000 250000 300000 350000 400000 450000 500000 0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001 Flowrate m^3/s PressureN/m^2 0 5 10 15 20 25 Efficiency 3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency Graph 4.47 – 1mm separation at elevated temperature (SI) 4 2 $ $1 Separation Temperature Flow rate Pressure Efficiency mm m^3/s N/m^2 % room 0.000525 275000 9 elevated 0.0006 245000 17.5 room 0.00056 300000 15 elevated 0.00052 320000 19.5 room 0.00056 300000 15 elevated 0.00062 350000 21.75 3.25 2 1 Table 4.48 – Centrifugal disc pump prototype maximum efficiencies and data
  • 45.
    Chapter 4 28 Testingof existing impeller configurations Design analysis of a centrifugal disc pump for automotive applications $ - 9 4 7* $ -# 7* $ -) = ( ) ( ) 2 2 23 Pressure generated P (N/m ) Dimensionless Group = Density (kg/m ) Speed (rad/s) Diameter D (m)r ´ W ´ V Equation 4.50 – Dimensionless pressure group ( ) 3 3 Flow rate Q (m /s) Dimensionless Group = Speed (rad/s) Diameter D (m)W ´ Equation 4.51 – Dimensionless flow group < $ -! < $ -& & !- E2 A F 3.25mm Room Temp Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 Q/(ND^3) deltaP/(pN^2D^2) 3000RPM 5000RPM 7000RPM Graph 4.52 – 3.25mm separation at room temperature (Dimensionless)
  • 46.
    Chapter 4 29 Testingof existing impeller configurations Design analysis of a centrifugal disc pump for automotive applications 3.25mm 80 Deg C Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 Q/(ND^3) deltaP/(pN^2D^2) 3000RPM 5000RPM 7000RPM Graph 4.53 – 3.25mm separation at elevated temperature (Dimensionless) < $ -$ < $ -- ! E2 A F 2mm Room Temp Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 Q/(ND^3) deltaP/(pN^2D^2) 3000RPM 5000RPM 7000RPM Graph 4.54 – 2mm separation at room temperature (Dimensionless) 2mm 80 Deg C Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 Q/(ND^3) deltaP/(pN^2D^2) 3000RPM 5000RPM 7000RPM Graph 4.55 – 2mm separation at elevated temperature (Dimensionless) < $ -B < $ -, ) E2 A F
  • 47.
    Chapter 4 30 Testingof existing impeller configurations Design analysis of a centrifugal disc pump for automotive applications 1mm Room Temp Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 Q/(ND^3) deltaP/(pN^2D^2) 3000RPM 5000RPM 7000RPM Graph 4.56 – 1mm separation at room temperature (Dimensionless) 1mm 80 Deg C Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 Q/(ND^3) deltaP/(pN^2D^2) 3000RPM 5000RPM 7000RPM Graph 4.57 – 1mm separation at elevated temperature (Dimensionless) $ B $ $1 ' E 7F 7* $ B# ( ) ( ) 23 RE 2 RE 2 Density (kg/m ) Speed (rad/s) Separation h (m) Reynolds Number N = Dynamic Viscosity (kg/ms) Speed (rad/s) Separation h (m) Reynolds Number N = Kinematic Viscosity (m /s) or r m n ´ W ´ W ´ Equation 4.60 – Reynolds number for disc to disc separation E 7F ' 7* $ B# E 7F $ B)'
  • 48.
    Chapter 4 31 Testingof existing impeller configurations Design analysis of a centrifugal disc pump for automotive applications J )# &# "## ( & I !" )#+& ( UVVVW Separation Reynolds mm Number NRE 3.25 240 2 91 1 22.7 Table 4.61 – Reynolds numbers for existing disc to disc separations 4 67 9 9 6 +9 3 ; 0 / &'( ) " &'( * +, % - #)&'()+0 / - &'( % .0[22] 2 4 !##&' !) ,-. # ###B! & ( &-#'### ( ! ' # ##) & ( $##'### ( ! < $ -$'< $ -B < $ -1 &### 36' -### 36 ,### 36 > 5 0 5 ' 4 ' E 7F E 7F ' '
  • 49.
    Chapter 4 32 Testingof existing impeller configurations Design analysis of a centrifugal disc pump for automotive applications 7* $ B! X RECollapsed Data = N Test Data´ Equation 4.62 – Dimensionless collapsed data formula < $ B& )# &# E2 7 A % F 10w30 Oil Viscosity v Temperature Chart 0 0.001 0.002 0.003 0.004 0.005 0.006 0.007 -30 -20 -10 0 10 20 30 40 50 60 70 80 90 100 110 120 Temperature Deg C KinematicViscositym^2/s 10w30 Oil Viscosity Cold Test Min Cold Test Max Hot Test Min Hot Test Max Graph 4.63 – 10w30 automotive specification oil temperature v viscosity [23]
  • 50.
    Chapter 5 33 Testingof ideal impeller configuration Design analysis of a centrifugal disc pump for automotive applications . $ - # 4 E 7F ' )# &# 4 67 0 / - &'( % .0[22] / 0 = 7* - ##' E 7F - $ < - #) / 0 )# &# J "## ( & I !" )#+& ( ( ) ( ) 23 RE 2 RE 2 Density (kg/m ) Speed (rad/s) Separation h (m) Reynolds Number N = Dynamic Viscosity (kg/ms) Speed (rad/s) Separation h (m) Reynolds Number N = Kinematic Viscosity (m /s) or r m n ´ W ´ W ´ Equation 5.00 – Reynolds Number for disc to disc separation 10w30 Ideal disc to disc separation 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000 11000 Speed RPM DisctoDiscseparationmm NRE = 5 Graph 5.01 – 10w30 automotive specification oil ideal disc to disc separation < - #) ,### 36 )# &# # $ '
  • 51.
    Chapter 5 34 Testingof ideal impeller configuration Design analysis of a centrifugal disc pump for automotive applications - ) '* # $ * $ * ! / 0 ; / 0 ' E( ! F E & (F E2 =A F - ! 2 5 ' 7* - !# 7* - !) E( ! F E & (F 2 2 2 Pressure generated P (N/m ) = Pressure at Outlet (N/m ) - Pressure at Inlet (N/m )V Equation 5.20 – Pressure generated by centrifugal disc pump prototype 2 3 Pressure generated P (N/m ) Flow rate Q (m /s) Efficiency % = Power (Nm/s) h ´V Equation 5.21 – Efficiency of the centrifugal disc pump prototype < - !! < - !& 2 / 0 E2 =A F
  • 52.
    Chapter 5 35 Testingof ideal impeller configuration Design analysis of a centrifugal disc pump for automotive applications 0.4mm Room Temp Pressure v Flowrate 0 50000 100000 150000 200000 250000 300000 350000 400000 450000 500000 0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001 Flowrate m^3/sPressureN/m^2 0 5 10 15 20 25 Efficiency% 3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency Graph 5.22 – 0.4mm separation at room temperature (SI) 0.4 mm 80 Deg C Pressure v Flowrate 0 50000 100000 150000 200000 250000 300000 350000 400000 450000 500000 0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001 Flowrate m^3/s PressureN/m^2 0 5 10 15 20 25 Efficency% 3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency Graph 5.23 – 0.4mm separation at elevated temperature (SI) < - !! )# &# , -.' ' > ' ' ' < - !&' - !$ # $ '
  • 53.
    Chapter 5 36 Testingof ideal impeller configuration Design analysis of a centrifugal disc pump for automotive applications Separation Temperature Flow rate Pressure Max Efficiency mm m^3/s N/m^2 % room 0.000525 275000 9 elevated 0.0006 245000 17.5 room 0.00056 300000 15 elevated 0.00052 320000 19.5 room 0.00056 300000 15 elevated 0.00062 350000 21.75 room 0.0005 275000 7.5 elevated 0.00068 340000 22 3.25 2 1 0.4 Table 5.24 – Centrifugal disc pump prototype maximum efficiencies and data - & 9 = $ $ 7* - &# 7* - &) E 7F 7* - &! ( ) ( ) 2 2 23 Pressure generated P (N/m ) Dimensionless Group = Density (kg/m ) Speed (rad/s) Diameter D (m)r ´ W ´ V Equation 5.30 – Dimensionless pressure group ( ) 3 3 Flow rate Q (m /s) Dimensionless Group = Speed (rad/s) Diameter D (m)W ´ Equation 5.31 – Dimensionless flow group X RECollapsed Data = N Test Data´ Equation 5.32 – Dimensionless collapsed data formula < - && < - &$ / 0 E2 =A F
  • 54.
    Chapter 5 37 Testingof ideal impeller configuration Design analysis of a centrifugal disc pump for automotive applications 0.4mm Room Temp Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 Q/(ND^3)deltaP/(pN^2D^2) 3000RPM 5000RPM 7000RPM Graph 5.33 – 0.4mm separation at room temperature (Dimensionless) 0.4mm 80 Deg C Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 Q/(ND^3) deltaP/(pN^2D^2) 3000RPM 5000RPM 7000RPM Graph 5.34 – 0.4mm separation at elevated temperature (Dimensionless) < - && < - &$ ' - $ / 0 # $ )# &# *
  • 55.
    Chapter 5 38 Testingof ideal impeller configuration Design analysis of a centrifugal disc pump for automotive applications ' 4 )# &# ' < - $#' / 0 ' +$# )$# / 0 ' ' / 0 10w30 Oil Viscosity v Temperature Chart 0 0.001 0.002 0.003 0.004 0.005 0.006 0.007 -30 -20 -10 0 10 20 30 40 50 60 70 80 90 100 110 120 Temperature Deg C KinematicViscositym^2/s 10w30 Oil Viscosity Cold Test Min Cold Test Max Hot Test Min Hot Test Max Graph 5.40 – 10w30 automotive specification oil temperature v viscosity < - $# )# &# / 0 5 ' < - $)'< - $! < - $& / 0 &### 36'-### 36 ,### 36 E2 A 9 F
  • 56.
    Chapter 5 39 Testingof ideal impeller configuration Design analysis of a centrifugal disc pump for automotive applications 3000RPM 80 Deg C Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 Q/(ND^3)deltaP/(pN^2D^2) 3.25mm 2mm 1mm 0.4mm Graph 5.41 – Elevated temperature separation performance at 3000RPM 5000RPM 80 Deg C Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 Q/(ND^3) deltaP/(pN^2D^2) 3.25mm 2mm 1mm 0.4mm Graph 5.42 – Elevated temperature separation performance at 5000RPM 7000RPM 80 Deg C Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 Q/(ND^3) deltaP/(pN^2D^2) 3.25mm 2mm 1mm 0.4mm Graph 5.43 – Elevated temperature separation performance at 7000RPM / 0 # $ ' # $ / 0 ,### 36 < - $& 2 E 7F
  • 57.
    Chapter 5 40 Testingof ideal impeller configuration Design analysis of a centrifugal disc pump for automotive applications - 4 67 - - ' / 0 ' ' / 0 )## ' E 7F 5 ' E F ' 2 ' 5 ' -#(-# ' ( 9 ( / 0 +$# )$#
  • 58.
    Chapter 5 41 Testingof ideal impeller configuration Design analysis of a centrifugal disc pump for automotive applications 7* - -# / 0 ' = E 7F - 4 67 7* - -#' E F ( ) ( ) 23 RE 2 RE 2 Density (kg/m ) Speed (rad/s) Separation h (m) Reynolds Number N = Dynamic Viscosity (kg/ms) Speed (rad/s) Separation h (m) Reynolds Number N = Kinematic Viscosity (m /s) or r m n ´ W ´ W ´ Equation 5.50 – Reynolds Number for disc to disc separation ; - -) / 0 )## J "## ( & X !" )#+& ( ' 1# J 1-- ( & # #####,) ! ( ( J ""1 & ( I ) )#+& ( Fluid Separation mm Automotive specification oil 0.4 Automatic transmission fluid 0.5 Water/Glycol engine coolant 0.1 Table 5.51 – Suggested ideal disc to disc separations for automotive applications
  • 59.
    Chapter 6 42 Testingof concentric casing Design analysis of a centrifugal disc pump for automotive applications + $ B # & $ ' '; B ## ' Figure 6.00 – Concentric and volute casings [24] E F 7* B #) * ( ) 3 3 2 4 Speed (rad/s) Flow rate (m /s) Specific speed (Ns) = Head (m) g(m/s ) W ´ ´ Equation 6.01 – Specific speed (Ns) of a centrifugal pump [25] = * E F # !B E F ' > ; B #!
  • 60.
    Chapter 6 43 Testingof concentric casing Design analysis of a centrifugal disc pump for automotive applications E)F > E!F Figure 6.02 – Areas increased by modification to concentric casing ; B #! ' 9 ) -'! & B #& Radial clearance Area above impeller Cutwater Area mm mm^2 mm^2 2.25 (standard) 40.5 37.8 3.375 (stage 1) 60.75 67.5 4.5 (stage 2) 81 84 6.75 (stage 3) 121.5 109 Table 6.03 – Increased area with modification ; B #-'; B #B ; B #, &9 9 ! !- ; B #$ Figure 6.04 – Concentric casing standard 2.25mm radial clearance 1 2
  • 61.
    Chapter 6 44 Testingof concentric casing Design analysis of a centrifugal disc pump for automotive applications Figure 6.05 – Concentric casing stage 1 3.375mm radial clearance Figure 6.06 – Concentric casing stage 2 4.5mm radial clearance Figure 6.07 – Concentric casing stage 3 6.75mm radial clearance E2 ; A F
  • 62.
    Chapter 6 45 Testingof concentric casing Design analysis of a centrifugal disc pump for automotive applications B ) '* * $ * ! & % / 0 -' # $ ,- 1- B ! 2 5 ' 7* B !# 7* B !) E( ! F E & (F 2 2 2 Pressure generated P (N/m ) = Pressure at Outlet (N/m ) - Pressure at Inlet (N/m )V Equation 6.20 – Pressure generated by centrifugal disc pump prototype 2 3 Pressure generated P (N/m ) Flow rate Q (m /s) Efficiency % = Power (Nm/s) h ´V Equation 6.21 – Efficiency of the centrifugal disc pump prototype < B !! 2 / 0 # $ )# &# ! !- < B !&'< B !$ < B !- 2 E2 9 A F
  • 63.
    Chapter 6 46 Testingof concentric casing Design analysis of a centrifugal disc pump for automotive applications Casing Standard Pressure v Flowrate 0 50000 100000 150000 200000 250000 300000 350000 400000 450000 500000 0 0.0002 0.0004 0.0006 0.0008 0.001 0.0012 0.0014 0.0016 0.0018 0.002 Flowrate m^3/sPressureN/m^2 0 5 10 15 20 25 30 Efficiency% 3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency Graph 6.22 – Concentric casing standard 2.25mm radial clearance at elevated temperature (SI) Casing Stage 1 Pressure v Flowrate 0 50000 100000 150000 200000 250000 300000 350000 400000 450000 500000 0 0.0002 0.0004 0.0006 0.0008 0.001 0.0012 0.0014 0.0016 0.0018 0.002 Flowrate m^3/s PressureN/m^2 0 5 10 15 20 25 30 Efficency% 3000RPM 5000RPM 7000RPM 3000RPM Efficency 5000RPM Efficiency 7000RPM Efficiency Graph 6.23 – Concentric casing stage 1 3.375mm radial clearance at elevated temperature (SI) Casing Stage 2 Pressure v Flowrate 0 50000 100000 150000 200000 250000 300000 350000 400000 450000 500000 0 0.0002 0.0004 0.0006 0.0008 0.001 0.0012 0.0014 0.0016 0.0018 0.002 Flowrate m^3/s PressureN/m^2 0 5 10 15 20 25 30 Efficiency% 3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency Graph 6.24 – Concentric casing stage 2 4.5mm radial clearance at elevated temperature (SI)
  • 64.
    Chapter 6 47 Testingof concentric casing Design analysis of a centrifugal disc pump for automotive applications Casing Stage 3 Pressure v Flowrate 0 50000 100000 150000 200000 250000 300000 350000 400000 450000 500000 0 0.0002 0.0004 0.0006 0.0008 0.001 0.0012 0.0014 0.0016 0.0018 0.002 Flowrate m^3/sPressureN/m^2 0 5 10 15 20 25 30 Efficiency% 3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency Graph 6.25 – Concentric casing stage 3 6.75mm radial clearance at elevated temperature (SI) B !B # $ )# &# ) -'! & > B !B ; ) - > ,. # ###& & ( ' # ##) & ( 5 ' !) ,-. # $ ' )# &# ' ,### 36 & &,- B, - ! B# ,- ! Radial clearance Flow rate Pressure Efficiency mm m^3/s N/m^2 % 2.25 (standard) 0.00062 350000 21.75 3.375 (stage 1) 0.00092 375000 28 4.5 (stage 2) 0.00094 310000 25 6.75 (stage 3) 0.00092 280000 23 Table 6.26 – Centrifugal disc pump prototype maximum efficiencies and data B & 9 $ - 7* B &# B &)
  • 65.
    Chapter 6 48 Testingof concentric casing Design analysis of a centrifugal disc pump for automotive applications ( ) ( ) 2 2 23 Pressure generated P (N/m ) Dimensionless Group = Density (kg/m ) Speed (rad/s) Diameter D (m)r ´ W ´ V Equation 6.30 – Dimensionless pressure group ( ) 3 3 Flow rate Q (m /s) Dimensionless Group = Speed (rad/s) Diameter D (m)W ´ Equation 6.31 – Dimensionless flow group < B &!'< B &&'< B &$ < B &- E2 9 A F Casing Standard 80 Deg C Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.001 0.002 0.003 0.004 0.005 0.006 Q/(ND^3) deltaP/(pN^2D^2) 3000RPM 5000RPM 7000RPM Graph 6.32 – Concentric casing standard 2.25mm radial clearance at elevated temperature (Dimensionless) Casing Stage 1 80 Deg C Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.001 0.002 0.003 0.004 0.005 0.006 Q/(ND^3) deltaP/(pN^2D^2) 3000RPM 5000RPM 7000RPM Graph 1.33 – Concentric casing stage 1 3.375mm radial clearance at elevated temperature (Dimensionless)
  • 66.
    Chapter 6 49 Testingof concentric casing Design analysis of a centrifugal disc pump for automotive applications Casing Stage 2 80 Deg C Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.001 0.002 0.003 0.004 0.005 0.006 Q/(ND^3)deltaP/(pN^2D^2) 3000RPM 5000RPM 7000RPM Graph 6.34 – Concentric casing stage 2 4.5mm radial clearance at elevated temperature (Dimensionless) Casing Stage 3 80 Deg C Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.001 0.002 0.003 0.004 0.005 0.006 Q/(ND^3) deltaP/(pN^2D^2) 3000RPM 5000RPM 7000RPM Graph 6.35 – Concentric casing stage 3 6.75mm radial clearance at elevated temperature (Dimensionless) & ' < B && < B &- ,### 36 ' ' B $ ! !- = B, - ! B# ,- !
  • 67.
    Chapter 6 50 Testingof concentric casing Design analysis of a centrifugal disc pump for automotive applications ' 4 ,. # ###& & ( !-'### ( ! # ##) & ( $##'### ( ! E F # !B 4 '
  • 68.
    Chapter 7 51 Designof volute casing Design analysis of a centrifugal disc pump for automotive applications / - , # ' ' B E F # !B ' Figure 7.00 – Concentric and volute casings [24] = 5 ' * '
  • 69.
    Chapter 7 52 Designof volute casing Design analysis of a centrifugal disc pump for automotive applications < , #) E F E F 2 ' E F ,!# # "-- Graph 7.01 – Casing efficiency ratio against pump speed [26] C ' & 8 E)F ' E!F E&F ; , #! Figure 7.02 – Typical centrifugal pump volute casing for a small automotive pump 3 2 1
  • 70.
    Chapter 7 53 Designof volute casing Design analysis of a centrifugal disc pump for automotive applications ' ; ' '; , #& Figure 7.03 – Double volute casing for centrifugal pump [27] , ) ' ' < , )# E F ' E F E2 <A 9 F
  • 71.
    Chapter 7 54 Designof volute casing Design analysis of a centrifugal disc pump for automotive applications Graph 7.10 – Typical volute pump [28] 2 < , )# E)F ! 5= (! ! (7 E!F C (! ; # !B B E)F ) !# E!F # -# 7* , )) C ' ' M ' ' !' t 2 2 t 2 2 t t V QC= U D N V =QC U where U = 60 0.079 7000 V =0.50 60 V =14.47m/s p p æ ö´ ´ ÷ç´ ÷ç ÷÷çè ø æ ö´ ´ ÷ç´ ÷ç ÷÷çè ø Equation 7.11 – Flow coefficient and determination of Vt [29] 5 C ' ' * 7* , )! C ' * M' $' 1 2
  • 72.
    Chapter 7 55 Designof volute casing Design analysis of a centrifugal disc pump for automotive applications t 4 4 t 4 -5 2 4 2 4 Q V = A Q A = V 0.001 A = 14.47 A =6.9 10 m A =69mm ´ Equation 7.12 – Velocity at Cutwater and determination of A4 [30] ' $' B" ! ' B, - ! B * $##'### ( ! # ##) & ( B" ! , ! C ' E F # !B ,!# G ' $' B" ! * 7* , !# 4 Angle Area = A 360 q q ´ Equation 7.20 – Area ratio formula [31] ; , !! 8 ' )' ! & * 7* , !) 4 4 4 1 2 3 A A 3A A = A A 4 2 4 = = Equation 7.21 – Major area formula [32]
  • 73.
    Chapter 7 56 Designof volute casing Design analysis of a centrifugal disc pump for automotive applications Figure 7.21 – Four major volute casing areas [33] 7* , !# 4 ," !! , !! ' # - # > E2 <A 9 F Angle Degrees Area mm^2 Impeller Outer Radius Impeller Inner Radius Running Clearance Dist Above 22mm Impeller Volute Radius mm 360 69.00 39.5 11.43 40 3.14 43.14 350 67.08 39.5 11.43 40 3.05 43.05 340 65.17 39.5 11.43 40 2.96 42.96 330 63.25 39.5 11.43 40 2.88 42.88 320 61.33 39.5 11.43 40 2.79 42.79 310 59.42 39.5 11.43 40 2.70 42.70 300 57.50 39.5 11.43 40 2.61 42.61 290 55.58 39.5 11.43 40 2.53 42.53 280 53.67 39.5 11.43 40 2.44 42.44 270 51.75 39.5 11.43 40 2.35 42.35 260 49.83 39.5 11.43 40 2.27 42.27 250 47.92 39.5 11.43 40 2.18 42.18 240 46.00 39.5 11.43 40 2.09 42.09 230 44.08 39.5 11.43 40 2.00 42.00 220 42.17 39.5 11.43 40 1.92 41.92 210 40.25 39.5 11.43 40 1.83 41.83 200 38.33 39.5 11.43 40 1.74 41.74 190 36.42 39.5 11.43 40 1.66 41.66 180 34.50 39.5 11.43 40 1.57 41.57 170 32.58 39.5 11.43 40 1.48 41.48 160 30.67 39.5 11.43 40 1.39 41.39 150 28.75 39.5 11.43 40 1.31 41.31 140 26.83 39.5 11.43 40 1.22 41.22 130 24.92 39.5 11.43 40 1.13 41.13 120 23.00 39.5 11.43 40 1.05 41.05 110 21.08 39.5 11.43 40 0.96 40.96 100 19.17 39.5 11.43 40 0.87 40.87 90 17.25 39.5 11.43 40 0.78 40.78 80 15.33 39.5 11.43 40 0.70 40.70 70 13.42 39.5 11.43 40 0.61 40.61 60 11.50 39.5 11.43 40 0.52 40.52 50 9.58 39.5 11.43 40 0.44 40.44 40 7.67 39.5 11.43 40 0.35 40.35 30 5.75 39.5 11.43 40 0.26 40.26 20 3.83 39.5 11.43 40 0.17 40.17 10 1.92 39.5 11.43 40 0.09 40.09 0 0.00 39.5 11.43 40 0.00 40.00 Table 7.22 – Proposed centrifugal disc pump prototype volute casing geometry , !! < , !& > B" ! ' &B# < , !& A4 A2 A1 A3
  • 74.
    Chapter 7 57 Designof volute casing Design analysis of a centrifugal disc pump for automotive applications E2 <A 9 F Area v Angle for Volute Casing 0.00 10.00 20.00 30.00 40.00 50.00 60.00 70.00 80.00 0 50 100 150 200 250 300 350 400 Angle Degrees Areamm^2 Area Profile for Volute Casing Graph 7.23 – Area increase linearity check graph , !! ; , !$ ' E2 <A 9 F Volute Casing Design Radius v Angle 0 10 20 30 40 50 360 350 340 330 320 310 300 290 280 270 260 250 240 230 220 210 200 190180170160 150 140 130 120 110 100 90 80 70 60 50 40 30 20 10 0 Impeller Outer Diameter Running Clearance 0.5mm Radially Volute Profile Impeller Inner Diameter Figure 7.24 – Volute casing profile plot
  • 75.
    Chapter 8 58 Discussion,conclusions and recommendations Design analysis of a centrifugal disc pump for automotive applications 0 1 1 # 9 8 8 * ' ' ' ' * )# &# 9 ' 9 9 4 $##'### ( ! # ##) & ( ,### 36' ; ')# &# ' ' # $ 4 67 )# &# +$## )$## '
  • 76.
    Chapter 8 59 Discussion,conclusions and recommendations Design analysis of a centrifugal disc pump for automotive applications ' )# &# 9 ' ' E 7F * E 7F' ' 5 ' * ' ' ' ( ' ' ' ' * * E F
  • 77.
    Chapter 8 60 Discussion,conclusions and recommendations Design analysis of a centrifugal disc pump for automotive applications ' ' * ' 1 ## [34] Best efficiency Predicted performance Original design performance Impeller investigation Casing investigaton Pressure 400000 N/m^2 350000 N/m^2 340000 N/m^2 375000 N/m^2 Flow rate 0.001 m^3/s 0.00062 m^3/s 0.00068 m^3/s 0.00092 m^3/s Efficiency 40-50 % 21.75% 22% 28 Disc separation N/A 1 mm 0.4 mm 0.4mm Radial clearance N/A 2.25 mm 2.25 mm 3.375 mm Cutwater area N/A 37.8 37.8 67.5 Table 8.00 – Centrifugal disc pump prototype practical test findings ' ' ' 4 * 1 ) ' 9 : 8 8 ' 0 / 0 ' 4 67 ' -
  • 78.
    Chapter 8 61 Discussion,conclusions and recommendations Design analysis of a centrifugal disc pump for automotive applications ' ' 9 ' ! ; 9 E;9F ' = '
  • 79.
    References 62 Design analysisof a centrifugal disc pump for automotive applications ' & 23 $ [1] [3] [4] [5] [7] [9] [10] [11] 5 2 : G< = 1 ')"""' 2 '[1] &#'[3] $'[4] -'[5] -'[7] )&'[9] ,'[10] ,'[11] )) [2] [17] Y3 : 3 5 9 + + + ' !###'3 ), '[2] ,#'[17] ,& [6] [8] [12] Y; 9 ' Y6< : Y 2 ; $ '!##)'3 5 [6] $-'[8] )#!'[12] &)! [13] [15] [20] [21] 9 5 = : 2 6 & ' )""1' = + 5 '[13] -#-'[15] -&)'[20] -)1'[21] -!! [14] [26] C 2? : A : ! ')""!' < '[14] &1'[26] -, [16] ; 3 23 )#B))$!')")&'[16] )# [18] [22] 67 : 4 + ')",$' 267 A Y ' !,$+!1!'[18] !,-'[22] !,- [19] 9 9#!-(#&'!##&
  • 80.
    References 63 Design analysisof a centrifugal disc pump for automotive applications [23] 6 6 )# &# !##$'[23] - [24] [25] [27] YG : 6 < ! ')""B' : 5 '[24] !-'[25] $&1'[27] !& [28] 9 = - '!##!'[28] !- [29] [30] [31] [32] [33] Y 6 ' !##&' = + 5 '[29] )BB'[30] )B,'[31] )B,'[32] )B,'[33] )BB [34] 9 = '!###'[34] $+-
  • 81.
    Bibliography 64 Design analysisof a centrifugal disc pump for automotive applications 4 EF 9 = '!### 9 9#!-(#&'!##& ; 3 23 )#B))$!')")& Y3 : 3 5 9 + + + ' !###' 3 ), 67 : 4 + ')",$' 267 A Y ' !,$+!1! 4 ')"")'3 $ 4 ')"B&' 267 A Y ' )")+!## 4 %0G + + ')",-'3 > ??3 ' 7 : 4 ; ')",$' 267 A Y ' !"+&$ 9 A 6 = ')",-'3 67 57 )1" =7 = : 4 ' )",)' 267 A Y ' &-#+&-$
  • 82.
    Bibliography 65 Design analysisof a centrifugal disc pump for automotive applications 25 5 : ?<G + ')"B&' 267 A Y ' !#)+!#B = = 0 9 + ')",)' 8 ' -B+B# 9 A 6 = 9 ' )"B#' 3 67 57' ),$ Y ')"")'3 ' $' $$-+$-# Y3Y : 9 Y ? ' )"BB' 267 A Y ' $"+B! 9 5 = : 2 6 & ')""1'= +5 Y; 9 ' Y6< : Y 2 ; $ '!##)'3 5 Y 6 '!##&'= +5 5 2 : G < = 1 ')"""'2 C 2? : A : ! ')""!'< = ')"")'6 YG : 6 < ! ')""B' :5
  • 83.
    Bibliography 66 Design analysisof a centrifugal disc pump for automotive applications 9 = - '!##! 4 6Y '!##&' = 2 =2-&)B 3 )'!'& + )""B 2 6 7 267 3 1 ! + )""#
  • 84.
    Appendix A I Testingof existing impeller configurations Design analysis of a centrifugal disc pump for automotive applications % "5!. 3.25mm 3.25mm SI Units Performance No Back Pressure Room Temp Performance No Back Pressure Room Temp Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 0 0.000 0.000 1.19 0.42 0.025 0.44 0.52 0.031 0.00 23.60 0.000 0.000 0.000 2520 3120 0 23.60 1000 0.512 0.053 1.15 0.38 0.023 1.15 1.23 0.074 2.20 22.90 104.720 0.512 0.053 2280 7380 0.00003674 22.90 2000 0.833 0.174 1.00 0.23 0.014 2.81 2.89 0.173 5.54 22.50 209.440 0.833 0.174 1380 17340 0.000092518 22.50 3000 1.803 0.341 0.65 -0.12 -0.007 5.74 5.82 0.349 11.99 24.10 314.159 1.803 0.341 -720 34920 0.000200233 24.10 4000 1.457 0.608 0.33 -0.44 -0.026 8.74 8.82 0.529 18.92 24.30 418.879 1.457 0.608 -2640 52920 0.000315964 24.30 5000 1.855 0.927 -0.08 -0.85 -0.051 11.88 11.96 0.718 26.70 24.40 523.599 1.855 0.927 -5100 71760 0.00044589 24.40 6000 2.270 1.418 -0.54 -1.31 -0.079 14.76 14.84 0.890 34.63 26.00 628.319 2.270 1.418 -7860 89040 0.000578321 26.00 7000 2.700 1.971 -0.99 -1.76 -0.106 17.18 17.26 1.036 42.69 28.00 733.039 2.700 1.971 -10560 103560 0.000712923 28.00 Performance Flow Sweeps Performance Flow Sweeps Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 3000 1.035 0.327 0.66 -0.11 -0.007 5.64 5.72 0.343 13.71 29.00 314.159 1.035 0.327 -660 34320 0.000228957 29.00 3000 1.008 0.318 0.74 -0.03 -0.002 7.24 7.32 0.439 11.77 29.20 314.159 1.008 0.318 -180 43920 0.000196559 29.20 3000 0.991 0.312 0.80 0.03 0.002 8.42 8.50 0.510 9.92 29.40 314.159 0.991 0.312 180 51000 0.000165664 29.40 3000 0.972 0.307 0.89 0.12 0.007 9.55 9.63 0.578 7.53 30.00 314.159 0.972 0.307 720 57780 0.000125751 30.00 3000 0.955 0.301 0.96 0.19 0.011 10.33 10.41 0.625 5.37 30.10 314.159 0.955 0.301 1140 62460 0.000089679 30.10 3000 0.930 0.294 1.03 0.26 0.016 11.10 11.18 0.671 3.19 30.50 314.159 0.930 0.294 1560 67080 0.000053273 30.50 3000 0.912 0.289 1.07 0.30 0.018 11.50 11.58 0.695 2.24 30.70 314.159 0.912 0.289 1800 69480 0.000037408 30.70 3000 0.833 0.256 1.14 0.37 0.022 12.27 12.35 0.741 0.00 31.00 314.159 0.833 0.256 2220 74100 0 31.00 Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 5000 1.780 0.934 -0.08 -0.85 -0.051 11.32 11.40 0.684 28.71 31.20 523.599 1.780 0.934 -5100 68400 0.000479457 31.20 5000 1.736 0.911 0.14 -0.63 -0.038 17.56 17.64 1.058 24.96 32.00 523.599 1.736 0.911 -3780 105840 0.000416832 32.00 5000 1.690 0.887 0.30 -0.47 -0.028 21.66 21.74 1.304 21.79 32.10 523.599 1.690 0.887 -2820 130440 0.000363893 32.10 5000 1.638 0.861 0.49 -0.28 -0.017 24.93 25.01 1.501 18.17 32.40 523.599 1.638 0.861 -1680 150060 0.000303439 32.40 5000 1.592 0.837 0.63 -0.14 -0.008 26.93 27.01 1.621 14.98 32.50 523.599 1.592 0.837 -840 162060 0.000250166 32.50 5000 1.551 0.816 0.77 0.00 0.000 28.52 28.60 1.716 11.45 32.90 523.599 1.551 0.816 0 171600 0.000191215 32.90 5000 1.513 0.797 0.86 0.09 0.005 29.55 29.63 1.778 9.12 33.00 523.599 1.513 0.797 540 177780 0.000152304 33.00 5000 1.468 0.773 0.95 0.18 0.011 30.23 30.31 1.819 6.40 33.40 523.599 1.468 0.773 1080 181860 0.00010688 33.40 5000 1.381 0.730 1.05 0.28 0.017 31.22 31.30 1.878 3.01 34.00 523.599 1.381 0.730 1680 187800 0.000050267 34.00 5000 1.121 0.675 1.13 0.36 0.022 32.09 32.17 1.930 0.00 36.00 523.599 1.121 0.675 2160 193020 0 36.00 Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 7000 2.666 1.952 -0.91 -1.68 -0.101 16.44 16.52 0.991 43.55 30.00 733.039 2.666 1.952 -10080 99120 0.000727285 30.00 7000 2.558 1.867 -0.64 -1.41 -0.085 31.04 31.12 1.867 39.87 32.90 733.039 2.558 1.867 -8460 186720 0.000665829 32.90 7000 2.429 1.790 -0.22 -0.99 -0.059 43.97 44.05 2.643 33.71 34.10 733.039 2.429 1.790 -5940 264300 0.000562957 34.10 7000 2.317 1.712 0.13 -0.64 -0.038 48.92 49.00 2.940 27.71 35.20 733.039 2.317 1.712 -3840 294000 0.000462757 35.20 7000 2.201 1.630 0.45 -0.32 -0.019 52.81 52.89 3.173 20.88 36.10 733.039 2.201 1.630 -1920 317340 0.000348696 36.10 7000 2.103 1.557 0.68 -0.09 -0.005 55.15 55.23 3.314 15.67 37.20 733.039 2.103 1.557 -540 331380 0.000261689 37.20 7000 1.984 1.473 0.87 0.10 0.006 57.95 58.03 3.482 9.80 37.50 733.039 1.984 1.473 600 348180 0.00016366 37.50 7000 1.863 1.380 0.99 0.22 0.013 59.57 59.65 3.579 5.49 37.80 733.039 1.863 1.380 1320 357900 0.000091683 37.80 7000 1.330 0.988 1.10 0.33 0.020 62.25 62.33 3.740 0.00 39.00 733.039 1.330 0.988 1980 373980 0 39.00 Performance No Back Pressure 80 Deg C Performance No Back Pressure 80 Deg C Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 0 0.000 0.000 0.73 -0.04 -0.002 0.38 0.46 0.028 0.00 78.60 0.000 0.000 0.000 -240 2760 0 78.60 1000 0.148 0.015 0.69 -0.08 -0.005 0.83 0.91 0.055 6.68 78.60 104.720 0.148 0.015 -480 5460 0.000111556 78.60 2000 0.283 0.060 0.60 -0.17 -0.010 1.56 1.64 0.098 14.78 78.00 209.440 0.283 0.060 -1020 9840 0.000246826 78.00 3000 0.454 0.143 0.43 -0.34 -0.020 2.41 2.49 0.149 22.72 79.20 314.159 0.454 0.143 -2040 14940 0.000379424 79.20 4000 0.650 0.273 0.24 -0.53 -0.032 3.28 3.36 0.202 30.16 81.10 418.879 0.650 0.273 -3180 20160 0.000503672 81.10 5000 0.873 0.458 0.00 -0.77 -0.046 4.21 4.29 0.257 36.19 80.90 523.599 0.873 0.458 -4620 25740 0.000604373 80.90 6000 1.120 0.703 -0.19 -0.96 -0.058 5.08 5.16 0.310 41.30 80.80 628.319 1.120 0.703 -5760 30960 0.00068971 80.80 7000 1.389 1.014 -0.46 -1.23 -0.074 6.04 6.12 0.367 46.26 81.10 733.039 1.389 1.014 -7380 36720 0.000772542 81.10 Performance Flow Sweeps Performance Flow Sweeps Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 3000 0.457 0.142 0.36 -0.41 -0.025 2.03 2.11 0.127 21.57 80.60 314.159 0.457 0.142 -2460 12660 0.000360219 80.60 3000 0.432 0.136 0.42 -0.35 -0.021 5.04 5.12 0.307 18.73 81.20 314.159 0.432 0.136 -2100 30720 0.000312791 81.20 3000 0.409 0.129 0.49 -0.28 -0.017 7.85 7.93 0.476 14.70 82.00 314.159 0.409 0.129 -1680 47580 0.00024549 82.00 3000 0.387 0.122 0.56 -0.21 -0.013 8.98 9.06 0.544 10.26 82.10 314.159 0.387 0.122 -1260 54360 0.000171342 82.10 3000 0.369 0.116 0.60 -0.17 -0.010 9.62 9.70 0.582 6.05 82.30 314.159 0.369 0.116 -1020 58200 0.000101035 82.30 3000 0.354 0.112 0.62 -0.15 -0.009 10.22 10.30 0.618 3.04 82.50 314.159 0.354 0.112 -900 61800 0.000050768 82.50 3000 0.348 0.111 0.64 -0.13 -0.008 10.77 10.85 0.651 0.00 83.00 314.159 0.348 0.111 -780 65100 0 83.00 Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 5000 0.832 0.438 -0.10 -0.87 -0.052 3.85 3.93 0.236 36.25 82.10 523.599 0.832 0.438 -5220 23580 0.000605375 82.10 5000 0.807 0.424 0.04 -0.73 -0.044 13.73 13.81 0.829 31.03 83.00 523.599 0.807 0.424 -4380 82860 0.000518201 83.00 5000 0.771 0.405 0.23 -0.54 -0.032 18.84 18.92 1.135 25.94 83.10 523.599 0.771 0.405 -3240 113520 0.000433198 83.10 5000 0.736 0.386 0.36 -0.41 -0.025 23.51 23.59 1.415 20.29 82.90 523.599 0.736 0.386 -2460 141540 0.000338843 82.90 5000 0.700 0.369 0.49 -0.28 -0.017 24.48 24.56 1.474 15.69 82.40 523.599 0.700 0.369 -1680 147360 0.000262023 82.40 5000 0.670 0.354 0.56 -0.21 -0.013 25.67 25.75 1.545 10.67 82.50 523.599 0.670 0.354 -1260 154500 0.000178189 82.50 5000 0.647 0.340 0.62 -0.15 -0.009 27.09 27.17 1.630 6.48 82.50 523.599 0.647 0.340 -900 163020 0.000108216 82.50 5000 0.603 0.317 0.67 -0.10 -0.006 29.22 29.30 1.758 0.00 82.60 523.599 0.603 0.317 -600 175800 0 82.60 Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 7000 1.357 0.993 -0.51 -1.28 -0.077 6.04 6.12 0.367 46.70 83.20 733.039 1.357 0.993 -7680 36720 0.00077989 83.20 7000 1.288 0.943 -0.23 -1.00 -0.060 34.25 34.33 2.060 39.17 83.80 733.039 1.288 0.943 -6000 205980 0.000654139 83.80 7000 1.219 0.896 0.07 -0.70 -0.042 43.29 43.37 2.602 31.82 83.90 733.039 1.219 0.896 -4200 260220 0.000531394 83.90 7000 1.168 0.856 0.23 -0.54 -0.032 46.95 47.03 2.822 26.60 84.10 733.0386 1.168 0.856 -3240 282180 0.00044422 84.10 7000 1.107 0.813 0.40 -0.37 -0.022 47.59 47.67 2.860 20.09 84.20 733.0386 1.107 0.813 -2220 286020 0.000335503 84.20 7000 1.066 0.783 0.50 -0.27 -0.016 49.62 49.70 2.982 15.57 84.30 733.0386 1.066 0.783 -1620 298200 0.000260019 84.30 7000 1.023 0.751 0.60 -0.17 -0.010 51.90 51.98 3.119 10.24 85.00 733.0386 1.023 0.751 -1020 311880 0.000171008 85.00 7000 0.981 0.721 0.65 -0.12 -0.007 54.02 54.10 3.246 5.53 85.10 733.0386 0.981 0.721 -720 324600 0.000092351 85.10 7000 0.884 0.648 0.71 -0.06 -0.004 56.65 56.73 3.404 0.00 85.00 733.0386 0.884 0.648 -360 340380 0 85.00 3.25mm Corrected Values Performance No Back Pressure Room Temp Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2520 3120 0 23.60 104.720 0.512 0.180 0.332 0.053 0.028 0.025 2280 7380 0.00003674 22.90 209.440 0.833 0.202 0.631 0.174 0.042 0.132 1380 17340 0.000092518 22.50 314.159 1.803 0.205 1.598 0.341 0.063 0.278 -720 34920 0.000200233 24.10 418.879 1.457 0.208 1.249 0.608 0.086 0.522 -2640 52920 0.000315964 24.30 523.599 1.855 0.214 1.641 0.927 0.111 0.816 -5100 71760 0.00044589 24.40 628.319 2.270 0.216 2.054 1.418 0.136 1.282 -7860 89040 0.000578321 26.00 733.039 2.700 0.212 2.488 1.971 0.160 1.811 -10560 103560 0.000712923 28.00 Performance Flow Sweeps Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C 314.159 1.035 0.205 0.830 0.327 0.063 0.264 -660 34320 0.000228957 29.00 34980 0.079 855.802 0.066357835 0.001478164 264 3.03368025 0.00 314.159 1.008 0.205 0.803 0.318 0.063 0.255 -180 43920 0.000196559 29.20 44100 0.079 855.6706 0.083671524 0.001269 255 3.399314471 0.20 314.159 0.991 0.205 0.786 0.312 0.063 0.249 180 51000 0.000165664 29.40 50820 0.079 855.5392 0.09643628 0.001069539 249 3.381142361 0.40 314.159 0.972 0.205 0.767 0.307 0.063 0.244 720 57780 0.000125751 30.00 57060 0.079 855.145 0.108327247 0.000811858 244 2.940718057 1.00 314.159 0.955 0.205 0.750 0.301 0.063 0.238 1140 62460 0.000089679 30.10 61320 0.079 855.0793 0.116423715 0.000578974 238 2.310553059 1.10 314.159 0.930 0.205 0.725 0.294 0.063 0.231 1560 67080 0.000053273 30.50 65520 0.079 854.8165 0.124436186 0.000343935 231 1.511016 1.50 314.159 0.912 0.205 0.707 0.289 0.063 0.226 1800 69480 0.000037408 30.70 67680 0.079 854.6851 0.12855824 0.000241509 226 1.120253735 1.70 314.159 0.833 0.205 0.628 0.256 0.063 0.193 2220 74100 0 31.00 71880 0.079 854.488 0.136567639 0 193 0 2.00 Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter Density p Delta P Q Power Efficiency Delta T Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C 523.599 1.780 0.214 1.566 0.934 0.111 0.823 -5100 68400 0.000479457 31.20 73500 0.079 854.3566 0.050280126 0.001857247 823 4.281906379 0.00 523.599 1.736 0.214 1.522 0.911 0.111 0.800 -3780 105840 0.000416832 32.00 109620 0.079 853.831 0.075035379 0.00161466 800 5.71164048 0.80 523.599 1.690 0.214 1.476 0.887 0.111 0.776 -2820 130440 0.000363893 32.10 133260 0.079 853.7653 0.091224084 0.001409593 776 6.249018193 0.90 523.599 1.638 0.214 1.424 0.861 0.111 0.750 -1680 150060 0.000303439 32.40 151740 0.079 853.5682 0.103898686 0.001175415 750 6.139177848 1.20 523.599 1.592 0.214 1.378 0.837 0.111 0.726 -840 162060 0.000250166 32.50 162900 0.079 853.5025 0.111548693 0.000969054 726 5.613228843 1.30 523.599 1.551 0.214 1.337 0.816 0.111 0.705 0 171600 0.000191215 32.90 171600 0.079 853.2397 0.117542366 0.000740699 705 4.654254468 1.70 523.599 1.513 0.214 1.299 0.797 0.111 0.686 540 177780 0.000152304 33.00 177240 0.079 853.174 0.121414996 0.000589972 686 3.935038041 1.80 523.599 1.468 0.214 1.254 0.773 0.111 0.662 1080 181860 0.00010688 33.40 180780 0.079 852.9112 0.123878165 0.000414015 662 2.918695831 2.20 523.599 1.381 0.214 1.167 0.730 0.111 0.619 1680 187800 0.000050267 34.00 186120 0.079 852.517 0.127596334 0.000194717 619 1.511420685 2.80 523.599 1.121 0.214 0.907 0.675 0.111 0.564 2160 193020 0 36.00 190860 0.079 851.203 0.131047872 0 564 0 4.80 Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter Density p Delta P Q Power Efficiency Delta T Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C 733.039 2.666 0.212 2.454 1.952 0.160 1.792 -10080 99120 0.000727285 30.00 109200 0.079 855.145 0.038078077 0.002012318 1792 4.431892969 0.00 733.039 2.558 0.212 2.346 1.867 0.160 1.707 -3840 186720 0.000665829 32.90 190560 0.079 853.2397 0.066596717 0.001842276 1707 7.432945181 2.90 733.039 2.429 0.212 2.217 1.790 0.160 1.630 -1320 264300 0.000562957 34.10 265620 0.079 852.4513 0.092914464 0.00155764 1630 9.173781493 4.10 733.039 2.317 0.212 2.105 1.712 0.160 1.552 780 294000 0.000462757 35.20 293220 0.079 851.7286 0.102656035 0.001280398 1552 8.742887084 5.20 733.039 2.201 0.212 1.989 1.630 0.160 1.470 2700 317340 0.000348696 36.10 314640 0.079 851.1373 0.110231683 0.000964803 1470 7.463517649 6.10 733.039 2.103 0.212 1.891 1.557 0.160 1.397 4080 331380 0.000261689 37.20 327300 0.079 850.4146 0.114764462 0.000724065 1397 6.131052949 7.20 733.039 1.984 0.212 1.772 1.473 0.160 1.313 5220 348180 0.00016366 37.50 342960 0.079 850.2175 0.120283362 0.000452829 1313 4.274854044 7.50 733.039 1.863 0.212 1.651 1.380 0.160 1.220 5940 357900 0.000091683 37.80 351960 0.079 850.0204 0.123468477 0.000253677 1220 2.6449794 7.80 733.039 1.330 0.212 1.118 0.988 0.160 0.828 6600 373980 0 39.00 367380 0.079 849.232 0.128997498 0 828 0 9.00 Performance No Back Pressure 80 Deg C Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -240 2760 0 78.60 104.720 0.148 0.110 0.038 0.015 0.011 0.004 -480 5460 0.000111556 78.60 209.440 0.283 0.121 0.162 0.060 0.025 0.035 -1020 9840 0.000246826 78.00 314.159 0.454 0.125 0.329 0.143 0.039 0.104 -2040 14940 0.000379424 79.20 418.879 0.650 0.129 0.521 0.273 0.054 0.219 -3180 20160 0.000503672 81.10 523.599 0.873 0.131 0.742 0.458 0.069 0.389 -4620 25740 0.000604373 80.90 628.319 1.120 0.132 0.988 0.703 0.082 0.621 -5760 30960 0.00068971 80.80 733.039 1.389 0.131 1.258 1.014 0.090 0.924 -7380 36720 0.000772542 81.10 Performance Flow Sweeps Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C 314.159 0.457 0.125 0.332 0.142 0.039 0.103 -2460 12660 0.000360219 80.60 15120 0.079 821.9008 0.029866071 0.002325601 103 5.287875029 0.00 314.159 0.432 0.125 0.307 0.136 0.039 0.097 -2100 30720 0.000312791 81.20 32820 0.079 821.5066 0.064859444 0.002019403 97 10.58329961 0.60 314.159 0.409 0.125 0.284 0.129 0.039 0.090 -1680 47580 0.00024549 82.00 49260 0.079 820.981 0.097410776 0.001584902 90 13.436486 1.40 314.159 0.387 0.125 0.262 0.122 0.039 0.083 -1260 54360 0.000171342 82.10 55620 0.079 820.9153 0.109996365 0.001106197 83 11.48197836 1.50 314.159 0.369 0.125 0.244 0.116 0.039 0.077 -1020 58200 0.000101035 82.30 59220 0.079 820.7839 0.11713462 0.00065229 77 7.77051 1.70 314.159 0.354 0.125 0.229 0.112 0.039 0.073 -900 61800 0.000050768 82.50 62700 0.079 820.6525 0.124037768 0.000327762 73 4.360484384 1.90 314.159 0.348 0.125 0.223 0.111 0.039 0.072 -780 65100 0 83.00 65880 0.079 820.324 0.130380869 0 72 0 2.40 Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C 523.599 0.832 0.131 0.701 0.438 0.069 0.369 -5220 23580 0.000605375 82.10 28800 0.079 820.9153 0.020504177 0.002345008 369 4.724878049 0.00 523.599 0.807 0.131 0.676 0.424 0.069 0.355 -4380 82860 0.000518201 83.00 87240 0.079 820.324 0.062155339 0.002007327 355 12.73460711 0.90 523.599 0.771 0.131 0.640 0.405 0.069 0.336 -3240 113520 0.000433198 83.10 116760 0.079 820.2583 0.083193932 0.001678056 336 15.0536305 1.00 523.599 0.736 0.131 0.605 0.386 0.069 0.317 -2460 141540 0.000338843 82.90 144000 0.079 820.3897 0.102586566 0.001312558 317 15.39223722 0.80 523.599 0.700 0.131 0.569 0.369 0.069 0.300 -1680 147360 0.000262023 82.40 149040 0.079 820.7182 0.106134598 0.001014984 300 13.01730264 0.30 523.599 0.670 0.131 0.539 0.354 0.069 0.285 -1260 154500 0.000178189 82.50 155760 0.079 820.6525 0.110928935 0.000690241 285 9.738497768 0.40 523.599 0.647 0.131 0.516 0.340 0.069 0.271 -900 163020 0.000108216 82.50 163920 0.079 820.6525 0.116740312 0.00041919 271 6.545670376 0.40 523.599 0.603 0.131 0.472 0.317 0.069 0.248 -600 175800 0 82.60 176400 0.079 820.5868 0.125638359 0 248 0 0.50 Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C 733.039 1.357 0.131 1.226 0.993 0.090 0.903 -7680 36720 0.00077989 83.20 44400 0.079 820.1926 0.016142071 0.00215787 903 3.834675083 0.00 733.039 1.288 0.131 1.157 0.943 0.090 0.853 -6000 205980 0.000654139 83.80 211980 0.079 819.7984 0.07710454 0.001809931 853 16.25608268 0.60 733.039 1.219 0.131 1.088 0.896 0.090 0.806 -4200 260220 0.000531394 83.90 264420 0.079 819.7327 0.096186511 0.001470309 806 17.43315155 0.70 733.0386 1.168 0.131 1.037 0.856 0.090 0.766 -3240 282180 0.00044422 84.10 285420 0.079 819.6013 0.103842203 0.001229108 766 16.55212433 0.90 733.0386 1.107 0.131 0.976 0.813 0.090 0.723 -2220 286020 0.000335503 84.20 288240 0.079 819.5356 0.104876589 0.0009283 723 13.37557188 1.00 733.0386 1.066 0.131 0.935 0.783 0.090 0.693 -1620 298200 0.000260019 84.30 299820 0.079 819.4699 0.109098737 0.000719444 693 11.24948003 1.10 733.0386 1.023 0.131 0.892 0.751 0.090 0.661 -1020 311880 0.000171008 85.00 312900 0.079 819.01 0.113922233 0.00047316 661 8.095068563 1.80 733.0386 0.981 0.131 0.850 0.721 0.090 0.631 -720 324600 0.000092351 85.10 325320 0.079 818.9443 0.118453672 0.000255525 631 4.761272158 1.90 733.0386 0.884 0.131 0.753 0.648 0.090 0.558 -360 340380 0 85.00 340740 0.079 819.01 0.124058362 0 558 0 1.80
  • 85.
    Appendix A II Testingof existing impeller configurations Design analysis of a centrifugal disc pump for automotive applications "5!. 3.25mm Room Temp Pressure v Flow Rate 0 50000 100000 150000 200000 250000 300000 350000 400000 450000 500000 0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001 Flowrate m^3/s PressureN/m^2 0 5 10 15 20 25 Efficiency% 3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency 3.25mm Room Temp Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 Q/(ND^3) deltaP/(pN^2D^2) 3000RPM 5000RPM 7000RPM
  • 86.
    Appendix A III Testingof existing impeller configurations Design analysis of a centrifugal disc pump for automotive applications "5!. 06 3.25mm 80 Deg C Pressure v Flowrate 0 50000 100000 150000 200000 250000 300000 350000 400000 450000 500000 0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001 Flowrate m^3/s PressureN/m^2 0 5 10 15 20 25 Efficiency% 3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency 3.25mm 80 Deg C Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 Q/(ND^3) deltaP/(pN^2D^2) 3000RPM 5000RPM 7000RPM
  • 87.
    Appendix A IV Testingof existing impeller configurations Design analysis of a centrifugal disc pump for automotive applications ! 2mm 2mm SI Units Performance No Back Pressure Room Temp Performance No Back Pressure Room Temp Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 0 0.000 0.000 1.19 0.42 0.025 0.18 0.26 0.016 0.00 17.80 0.000 0.000 0.000 2520 1560 0 17.80 1000 0.752 0.079 1.08 0.31 0.019 0.97 1.05 0.063 2.20 16.80 104.720 0.752 0.079 1860 6300 0.00003674 16.80 2000 1.128 0.236 0.91 0.14 0.008 2.64 2.72 0.163 5.10 16.90 209.440 1.128 0.236 840 16320 0.00008517 16.90 3000 1.459 0.457 0.66 -0.11 -0.007 5.33 5.41 0.325 10.99 16.90 314.159 1.459 0.457 -660 32460 0.000183533 16.90 4000 1.925 0.807 0.25 -0.52 -0.031 9.28 9.36 0.562 19.67 17.40 418.879 1.925 0.807 -3120 56160 0.000328489 17.40 5000 2.488 1.301 -0.26 -1.03 -0.062 13.63 13.71 0.823 29.45 18.20 523.599 2.488 1.301 -6180 82260 0.000491815 18.20 6000 3.034 1.907 -0.79 -1.56 -0.094 18.14 18.22 1.093 36.96 20.10 628.319 3.034 1.907 -9360 109320 0.000617232 20.10 7000 3.556 2.602 -1.33 -2.10 -0.126 21.60 21.68 1.301 44.20 22.00 733.039 3.556 2.602 -12600 130080 0.00073814 22.00 Performance Flow Sweeps Performance Flow Sweeps Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 3000 1.307 0.410 0.56 -0.21 -0.013 5.50 5.58 0.335 10.89 25.40 314.159 1.307 0.410 -1260 33480 0.000181863 25.40 3000 1.292 0.407 0.62 -0.15 -0.009 6.41 6.49 0.389 9.82 24.00 314.159 1.292 0.407 -900 38940 0.000163994 24.00 3000 1.269 0.399 0.70 -0.07 -0.004 7.72 7.80 0.468 7.99 25.20 314.159 1.269 0.399 -420 46800 0.000133433 25.20 3000 1.253 0.394 0.76 -0.01 -0.001 8.53 8.61 0.517 6.74 25.40 314.159 1.253 0.394 -60 51660 0.000112558 25.40 3000 1.224 0.386 0.84 0.07 0.004 9.62 9.70 0.582 4.81 25.90 314.159 1.224 0.386 420 58200 0.000080327 25.90 3000 1.206 0.382 0.92 0.15 0.009 10.64 10.72 0.643 2.92 26.00 314.159 1.206 0.382 900 64320 0.000048764 26.00 3000 1.095 0.302 1.05 0.28 0.017 12.45 12.53 0.752 0.00 26.40 314.159 1.095 0.302 1680 75180 0 26.40 Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 5000 2.118 1.110 -0.28 -1.05 -0.063 11.73 11.81 0.709 30.50 31.20 523.599 2.118 1.110 -6300 70860 0.00050935 31.20 5000 2.059 1.081 -0.15 -0.92 -0.055 15.67 15.75 0.945 28.15 31.00 523.599 2.059 1.081 -5520 94500 0.000470105 31.00 5000 2.000 1.055 0.03 -0.74 -0.044 20.58 20.66 1.240 24.97 31.40 523.599 2.000 1.055 -4440 123960 0.000416999 31.40 5000 1.958 1.034 0.21 -0.56 -0.034 23.87 23.95 1.437 21.69 31.80 523.599 1.958 1.034 -3360 143700 0.000362223 31.80 5000 1.898 1.001 0.40 -0.37 -0.022 27.25 27.33 1.640 17.66 32.40 523.599 1.898 1.001 -2220 163980 0.000294922 32.40 5000 1.821 0.964 0.63 -0.14 -0.008 30.21 30.29 1.817 12.27 32.80 523.599 1.821 0.964 -840 181740 0.000204909 32.80 5000 1.756 0.933 0.75 -0.02 -0.001 31.67 31.75 1.905 8.76 32.90 523.599 1.756 0.933 -120 190500 0.000146292 32.90 5000 1.646 0.874 0.87 0.10 0.006 32.78 32.86 1.972 4.43 33.40 523.599 1.646 0.874 600 197160 0.000073981 33.40 5000 1.570 0.834 0.92 0.15 0.009 33.40 33.48 2.009 2.80 34.00 523.599 1.570 0.834 900 200880 0.00004676 34.00 5000 1.143 0.610 1.00 0.23 0.014 34.71 34.79 2.087 0.00 34.20 523.599 1.143 0.610 1380 208740 0 34.20 Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 7000 2.939 2.150 -1.12 -1.89 -0.113 16.55 16.63 0.998 45.89 33.20 733.039 2.939 2.150 -11340 99780 0.000766363 33.20 7000 2.822 2.070 -0.84 -1.61 -0.097 33.00 33.08 1.985 42.27 34.50 733.039 2.822 2.070 -9660 198480 0.000705909 34.50 7000 2.702 1.983 -0.47 -1.24 -0.074 44.67 44.75 2.685 37.07 35.90 733.039 2.702 1.983 -7440 268500 0.000619069 35.90 7000 2.559 1.880 -0.09 -0.86 -0.052 52.45 52.53 3.152 30.52 37.10 733.039 2.559 1.880 -5160 315180 0.000509684 37.10 7000 2.450 1.801 0.18 -0.59 -0.035 56.39 56.47 3.388 25.31 38.20 733.039 2.450 1.801 -3540 338820 0.000422677 38.20 7000 2.335 1.717 0.43 -0.34 -0.020 58.12 58.20 3.492 19.61 38.30 733.039 2.335 1.717 -2040 349200 0.000327487 38.30 7000 2.210 1.629 0.64 -0.13 -0.008 61.45 61.53 3.692 13.76 39.00 733.039 2.210 1.629 -780 369180 0.000229792 39.00 7000 2.000 1.481 0.86 0.09 0.005 63.46 63.54 3.812 6.27 39.20 733.039 2.000 1.481 540 381240 0.000104709 39.20 7000 1.325 0.983 0.98 0.21 0.013 66.70 66.78 4.007 0.00 39.80 733.039 1.325 0.983 1260 400680 0 39.80 Performance No Back Pressure 80 Deg C Performance No Back Pressure 80 Deg C Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 0 0.000 0.000 0.81 0.04 0.002 0.41 0.49 0.029 0.00 78.60 0.000 0.000 0.000 240 2940 0 78.60 1000 0.105 0.013 0.72 -0.05 -0.003 0.79 0.87 0.052 6.71 78.80 104.720 0.105 0.013 -300 5220 0.000112057 78.80 2000 0.294 0.062 0.58 -0.19 -0.011 1.64 1.72 0.103 15.50 79.20 209.440 0.294 0.062 -1140 10320 0.00025885 79.20 3000 0.545 0.170 0.35 -0.42 -0.025 2.34 2.42 0.145 24.18 79.50 314.159 0.545 0.170 -2520 14520 0.000403806 79.50 4000 0.694 0.277 0.18 -0.59 -0.035 3.57 3.65 0.219 31.53 79.90 418.879 0.694 0.277 -3540 21900 0.000526551 79.90 5000 0.996 0.522 0.11 -0.66 -0.040 4.64 4.72 0.283 38.92 80.10 523.599 0.996 0.522 -3960 28320 0.000649964 80.10 6000 1.211 0.725 -0.26 -1.03 -0.062 5.43 5.51 0.331 42.59 80.30 628.319 1.211 0.725 -6180 33060 0.000711253 80.30 7000 1.574 1.150 -0.60 -1.37 -0.082 7.80 7.88 0.473 48.23 80.40 733.039 1.574 1.150 -8220 47280 0.000805441 80.40 Performance Flow Sweeps Performance Flow Sweeps Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 3000 0.545 0.170 0.35 -0.42 -0.025 2.33 2.41 0.145 24.44 80.20 314.159 0.545 0.170 -2520 14460 0.000408148 80.20 3000 0.518 0.163 0.41 -0.36 -0.022 5.48 5.56 0.334 21.51 81.20 314.159 0.518 0.163 -2160 33360 0.000359217 81.20 3000 0.510 0.160 0.46 -0.31 -0.019 7.87 7.95 0.477 18.66 81.10 314.159 0.510 0.160 -1860 47700 0.000311622 81.10 3000 0.477 0.150 0.56 -0.21 -0.013 10.22 10.30 0.618 12.76 80.60 314.159 0.477 0.150 -1260 61800 0.000213092 80.60 3000 0.450 0.142 0.65 -0.12 -0.007 10.95 11.03 0.662 7.34 80.20 314.159 0.450 0.142 -720 66180 0.000122578 80.20 3000 0.440 0.139 0.69 -0.08 -0.005 11.58 11.66 0.700 2.40 79.90 314.159 0.440 0.139 -480 69960 0.00004008 79.90 3000 0.429 0.137 0.70 -0.07 -0.004 12.05 12.13 0.728 0.00 79.40 314.159 0.429 0.137 -420 72780 0 79.40 Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 5000 0.997 0.523 0.10 -0.67 -0.040 4.67 4.75 0.285 38.61 79.60 523.599 0.997 0.523 -4020 28500 0.000644787 79.60 5000 0.968 0.507 0.11 -0.66 -0.040 18.61 18.69 1.121 32.98 79.80 523.599 0.968 0.507 -3960 112140 0.000550766 79.80 5000 0.931 0.487 0.24 -0.53 -0.032 24.07 24.15 1.449 27.89 79.80 523.599 0.931 0.487 -3180 144900 0.000465763 79.80 5000 0.866 0.465 0.42 -0.35 -0.021 28.40 28.48 1.709 21.03 79.60 523.599 0.866 0.465 -2100 170880 0.000351201 79.60 5000 0.816 0.431 0.55 -0.22 -0.013 29.56 29.64 1.778 15.66 79.40 523.599 0.816 0.431 -1320 177840 0.000261522 79.40 5000 0.776 0.408 0.65 -0.12 -0.007 30.31 30.39 1.823 9.82 79.40 523.599 0.776 0.408 -720 182340 0.000163994 79.40 5000 0.739 0.389 0.71 -0.06 -0.004 31.47 31.55 1.893 4.63 79.40 523.599 0.739 0.389 -360 189300 0.000077321 79.40 5000 0.687 0.362 0.73 -0.04 -0.002 32.68 32.76 1.966 0.00 79.60 523.599 0.687 0.362 -240 196560 0 79.60 Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 7000 1.575 1.150 -0.56 -1.33 -0.080 7.65 7.73 0.464 49.48 78.70 733.039 1.575 1.150 -7980 46380 0.000826316 78.70 7000 1.485 1.093 -0.26 -1.03 -0.062 38.65 38.73 2.324 42.02 79.10 733.039 1.485 1.093 -6180 232380 0.000701734 79.10 7000 1.424 1.048 -0.04 -0.81 -0.049 47.15 47.23 2.834 36.74 79.10 733.039 1.424 1.048 -4860 283380 0.000613558 79.10 7000 1.350 0.946 0.17 -0.60 -0.036 53.78 53.86 3.232 30.28 79.20 733.039 1.350 0.946 -3600 323160 0.000505676 79.20 7000 1.283 0.922 0.36 -0.41 -0.025 56.10 56.18 3.371 24.49 79.30 733.0386 1.283 0.922 -2460 337080 0.000408983 79.30 7000 1.220 0.901 0.48 -0.29 -0.017 57.00 57.08 3.425 18.95 79.40 733.0386 1.220 0.901 -1740 342480 0.000316465 79.40 7000 1.155 0.856 0.62 -0.15 -0.009 59.70 59.78 3.587 12.25 79.50 733.0386 1.155 0.856 -900 358680 0.000204575 79.50 7000 1.102 0.810 0.67 -0.10 -0.006 61.40 61.48 3.689 6.16 80.10 733.0386 1.102 0.810 -600 368880 0.000102872 80.10 7000 0.979 0.721 0.72 -0.05 -0.003 63.64 63.72 3.823 0.00 80.70 733.0386 0.979 0.721 -300 382320 0 80.70 2mm Corrected Values Performance No Back Pressure Room Temp Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2520 1560 0 17.80 104.720 0.752 0.180 0.572 0.079 0.028 0.051 1860 6300 0.00003674 16.80 209.440 1.128 0.202 0.926 0.236 0.042 0.194 840 16320 0.00008517 16.90 314.159 1.459 0.205 1.254 0.457 0.063 0.394 -660 32460 0.000183533 16.90 418.879 1.925 0.208 1.717 0.807 0.086 0.721 -3120 56160 0.000328489 17.40 523.599 2.488 0.214 2.274 1.301 0.111 1.190 -6180 82260 0.000491815 18.20 628.319 3.034 0.216 2.818 1.907 0.136 1.771 -9360 109320 0.000617232 20.10 733.039 3.556 0.212 3.344 2.602 0.160 2.442 -12600 130080 0.00073814 22.00 Performance Flow Sweeps Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C 314.159 1.307 0.205 1.102 0.410 0.063 0.347 -1260 33480 0.000181863 25.40 34740 0.079 858.1672 0.065720915 0.001174121 347 1.820726403 0.00 314.159 1.292 0.205 1.087 0.407 0.063 0.344 -900 38940 0.000163994 24.00 39840 0.079 859.087 0.075288368 0.001058758 344 1.899279349 -1.40 314.159 1.269 0.205 1.064 0.399 0.063 0.336 -420 46800 0.000133433 25.20 47220 0.079 858.2986 0.089316825 0.000861454 336 1.875210196 -0.20 314.159 1.253 0.205 1.048 0.394 0.063 0.331 -60 51660 0.000112558 25.40 51720 0.079 858.1672 0.097843573 0.000726683 331 1.758761257 0.00 314.159 1.224 0.205 1.019 0.386 0.063 0.323 420 58200 0.000080327 25.90 57780 0.079 857.8387 0.109349702 0.000518597 323 1.436933146 0.50 314.159 1.206 0.205 1.001 0.382 0.063 0.319 900 64320 0.000048764 26.00 63420 0.079 857.773 0.120032697 0.000314824 319 0.969471122 0.60 314.159 1.095 0.205 0.890 0.302 0.063 0.239 1680 75180 0 26.40 73500 0.079 857.5102 0.139153375 0 239 0 1.00 Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C 523.599 2.118 0.214 1.904 1.110 0.111 0.999 -6300 70860 0.00050935 31.20 77160 0.079 854.3566 0.052783871 0.001973042 999 3.934078679 0.00 523.599 2.059 0.214 1.845 1.081 0.111 0.970 -5520 94500 0.000470105 31.00 100020 0.079 854.488 0.068411495 0.00182102 970 4.847412588 -0.20 523.599 2.000 0.214 1.786 1.055 0.111 0.944 -4440 123960 0.000416999 31.40 128400 0.079 854.2252 0.087849814 0.001615306 944 5.671893178 0.20 523.599 1.958 0.214 1.744 1.034 0.111 0.923 -3360 143700 0.000362223 31.80 147060 0.079 853.9624 0.100647737 0.001403124 923 5.771236661 0.60 523.599 1.898 0.214 1.684 1.001 0.111 0.890 -2220 163980 0.000294922 32.40 166200 0.079 853.5682 0.113799667 0.001142423 890 5.50741982 1.20 523.599 1.821 0.214 1.607 0.964 0.111 0.853 -840 181740 0.000204909 32.80 182580 0.079 853.3054 0.125053805 0.000793745 853 4.385965442 1.60 523.599 1.756 0.214 1.542 0.933 0.111 0.822 -120 190500 0.000146292 32.90 190620 0.079 853.2397 0.130570664 0.000566683 822 3.392479445 1.70 523.599 1.646 0.214 1.432 0.874 0.111 0.763 600 197160 0.000073981 33.40 196560 0.079 852.9112 0.134691294 0.000286576 763 1.905859156 2.20 523.599 1.570 0.214 1.356 0.834 0.111 0.723 900 200880 0.00004676 34.00 199980 0.079 852.517 0.137098189 0.000181132 723 1.293369959 2.80 523.599 1.143 0.214 0.929 0.610 0.111 0.499 1380 208740 0 34.20 207360 0.079 852.3856 0.142179532 0 499 0 3.00 Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C 733.039 2.939 0.212 2.727 2.150 0.160 1.990 -11340 99780 0.000766363 33.20 111120 0.079 853.0426 0.038843078 0.002120442 1990 4.279309375 0.00 733.039 2.822 0.212 2.610 2.070 0.160 1.910 -9660 198480 0.000705909 34.50 208140 0.079 852.1885 0.072830285 0.001953173 1910 7.692560171 1.30 733.039 2.702 0.212 2.490 1.983 0.160 1.823 -7440 268500 0.000619069 35.90 275940 0.079 851.2687 0.096658516 0.001712896 1823 9.370592422 2.70 733.039 2.559 0.212 2.347 1.880 0.160 1.720 -5160 315180 0.000509684 37.10 320340 0.079 850.4803 0.112315331 0.00141024 1720 9.492568172 3.90 733.039 2.450 0.212 2.238 1.801 0.160 1.641 -3540 338820 0.000422677 38.20 342360 0.079 849.7576 0.120137915 0.001169501 1641 8.818263115 5.00 733.039 2.335 0.212 2.123 1.717 0.160 1.557 -2040 349200 0.000327487 38.30 351240 0.079 849.6919 0.123263535 0.00090612 1557 7.387702882 5.10 733.039 2.210 0.212 1.998 1.629 0.160 1.469 -780 369180 0.000229792 39.00 369960 0.079 849.232 0.129903409 0.000635809 1469 5.787191853 5.80 733.039 2.000 0.212 1.788 1.481 0.160 1.321 540 381240 0.000104709 39.20 380700 0.079 849.1006 0.133695213 0.000289718 1321 3.017616677 6.00 733.039 1.325 0.212 1.113 0.983 0.160 0.823 1260 400680 0 39.80 399420 0.079 848.7064 0.140334503 0 823 0 6.60 Performance No Back Pressure 80 Deg C Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C 0.000 0.000 0.000 0.000 0.000 0.000 0.000 240 2940 0 78.60 104.720 0.105 0.110 -0.005 0.013 0.011 0.002 -300 5220 0.000112057 78.80 209.440 0.294 0.121 0.173 0.062 0.025 0.037 -1140 10320 0.00025885 79.20 314.159 0.545 0.125 0.420 0.170 0.039 0.131 -2520 14520 0.000403806 79.50 418.879 0.694 0.129 0.565 0.277 0.054 0.223 -3540 21900 0.000526551 79.90 523.599 0.996 0.131 0.865 0.522 0.069 0.453 -3960 28320 0.000649964 80.10 628.319 1.211 0.132 1.079 0.725 0.082 0.643 -6180 33060 0.000711253 80.30 733.039 1.574 0.131 1.443 1.150 0.090 1.060 -8220 47280 0.000805441 80.40 Performance Flow Sweeps Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C 314.159 0.545 0.125 0.420 0.170 0.039 0.131 -2520 14460 0.000408148 80.20 16980 0.079 822.1636 0.03352935 0.002635035 131 5.290345832 0.00 314.159 0.518 0.125 0.393 0.163 0.039 0.124 -2160 33360 0.000359217 81.20 35520 0.079 821.5066 0.07019523 0.002319132 124 10.2898289 1.00 314.159 0.510 0.125 0.385 0.160 0.039 0.121 -1860 47700 0.000311622 81.10 49560 0.079 821.5723 0.097933485 0.002011855 121 12.76362506 0.90 314.159 0.477 0.125 0.352 0.150 0.039 0.111 -1260 61800 0.000213092 80.60 63060 0.079 821.9008 0.124560477 0.001375738 111 12.1059293 0.40 314.159 0.450 0.125 0.325 0.142 0.039 0.103 -720 66180 0.000122578 80.20 66900 0.079 822.1636 0.132103271 0.000791373 103 7.961619612 0.00 314.159 0.440 0.125 0.315 0.139 0.039 0.100 -480 69960 0.00004008 79.90 70440 0.079 822.3607 0.139060152 0.00025876 100 2.8232352 -0.30 314.159 0.429 0.125 0.304 0.137 0.039 0.098 -420 72780 0 79.40 73200 0.079 822.6892 0.144451144 0 98 0 -0.80 Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C 523.599 0.997 0.131 0.866 0.523 0.069 0.454 -4020 28500 0.000644787 79.60 32520 0.079 822.5578 0.023106401 0.002497677 454 4.618606441 0.00 523.599 0.968 0.131 0.837 0.507 0.069 0.438 -3960 112140 0.000550766 79.80 116100 0.079 822.4264 0.082505591 0.002133472 438 14.59907137 0.20 523.599 0.931 0.131 0.800 0.487 0.069 0.418 -3180 144900 0.000465763 79.80 148080 0.079 822.4264 0.105231937 0.001804201 418 16.50004427 0.20 523.599 0.866 0.131 0.735 0.465 0.069 0.396 -2100 170880 0.000351201 79.60 172980 0.079 822.5578 0.122907297 0.001360428 396 15.34109823 0.00 523.599 0.816 0.131 0.685 0.431 0.069 0.362 -1320 177840 0.000261522 79.40 179160 0.079 822.6892 0.127278034 0.001013044 362 12.94317169 -0.20 523.599 0.776 0.131 0.645 0.408 0.069 0.339 -720 182340 0.000163994 79.40 183060 0.079 822.6892 0.130048654 0.000635255 339 8.855676 -0.20 523.599 0.739 0.131 0.608 0.389 0.069 0.320 -360 189300 0.000077321 79.40 189660 0.079 822.6892 0.134737396 0.000299514 320 4.582719019 -0.20 523.599 0.687 0.131 0.556 0.362 0.069 0.293 -240 196560 0 79.60 196800 0.079 822.5578 0.139832097 0 293 0 0.00 Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C 733.039 1.575 0.131 1.444 1.150 0.090 1.060 -7980 46380 0.000826316 78.70 54360 0.079 823.1491 0.019692147 0.002286325 1060 4.237597902 0.00 733.039 1.485 0.131 1.354 1.093 0.090 1.003 -6180 232380 0.000701734 79.10 238560 0.079 822.8863 0.086446999 0.001941621 1003 16.69049482 0.40 733.039 1.424 0.131 1.293 1.048 0.090 0.958 -4860 283380 0.000613558 79.10 288240 0.079 822.8863 0.104449544 0.001697647 958 18.46053841 0.40 733.039 1.350 0.131 1.219 0.946 0.090 0.856 -3600 323160 0.000505676 79.20 326760 0.079 822.8206 0.118417492 0.00139915 856 19.30311796 0.50 733.0386 1.283 0.131 1.152 0.922 0.090 0.832 -2460 337080 0.000408983 79.30 339540 0.079 822.7549 0.123058777 0.001131611 832 16.69063556 0.60 733.0386 1.220 0.131 1.089 0.901 0.090 0.811 -1740 342480 0.000316465 79.40 344220 0.079 822.6892 0.124764903 0.000875624 811 13.43200768 0.70 733.0386 1.155 0.131 1.024 0.856 0.090 0.766 -900 358680 0.000204575 79.50 359580 0.079 822.6235 0.13034265 0.000566037 766 9.603273956 0.80 733.0386 1.102 0.131 0.971 0.810 0.090 0.720 -600 368880 0.000102872 80.10 369480 0.079 822.2293 0.13399547 0.000284636 720 5.279048133 1.40 733.0386 0.979 0.131 0.848 0.721 0.090 0.631 -300 382320 0 80.70 382620 0.079 821.8351 0.138827375 0 631 0 2.00
  • 88.
    Appendix A V Testingof existing impeller configurations Design analysis of a centrifugal disc pump for automotive applications ! 2mm Room Temp Pressure v Flowrate 0 50000 100000 150000 200000 250000 300000 350000 400000 450000 500000 0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001 Flowrate m^3/s PressureN/m^2 0 5 10 15 20 25 Efficiency% 3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency 2mm Room Temp Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 Q/(ND^3) deltaP/(pN^2D^2) 3000RPM 5000RPM 7000RPM
  • 89.
    Appendix A VI Testingof existing impeller configurations Design analysis of a centrifugal disc pump for automotive applications ! 06 2mm 80 Deg C Pressure v Flowrate 0 50000 100000 150000 200000 250000 300000 350000 400000 450000 500000 0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001 Flowrate m^3/s PressureN/m^2 0 5 10 15 20 25 Efficiency% 3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency 2mm 80 Deg C Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 Q/(ND^3) deltaP/(pN^2D^2) 3000RPM 5000RPM 7000RPM
  • 90.
    Appendix A VII Testingof existing impeller configurations Design analysis of a centrifugal disc pump for automotive applications 1mm 1mm SI Units Performance No Back Pressure Room Temp Performance No Back Pressure Room Temp Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 0 0.000 0.000 1.19 0.42 0.025 0.25 0.33 0.020 0.00 18.70 0.000 0.000 0.000 2520 1980 0 18.70 1000 0.678 0.072 1.15 0.38 0.023 1.00 1.08 0.065 2.20 18.40 104.720 0.678 0.072 2280 6480 0.00003674 18.40 2000 1.003 0.207 1.02 0.25 0.015 2.04 2.12 0.127 6.20 18.40 209.440 1.003 0.207 1500 12720 0.00010354 18.40 3000 1.200 0.375 0.99 0.22 0.013 2.41 2.49 0.149 10.01 19.40 314.159 1.200 0.375 1320 14940 0.000167167 19.40 4000 1.456 0.614 0.76 -0.01 -0.001 4.60 4.68 0.281 18.07 19.60 418.879 1.456 0.614 -60 28080 0.000301769 19.60 5000 2.080 1.108 0.04 -0.73 -0.044 11.28 11.36 0.682 28.92 20.20 523.599 2.080 1.108 -4380 68160 0.000482964 20.20 6000 2.714 1.714 -0.65 -1.42 -0.085 16.28 16.36 0.982 35.21 22.10 628.319 2.714 1.714 -8520 98160 0.000588007 22.10 7000 3.250 2.365 -1.24 -2.01 -0.121 20.08 20.16 1.210 48.02 22.40 733.039 3.250 2.365 -12060 120960 0.000801934 22.40 Performance Flow Sweeps Performance Flow Sweeps Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 3000 1.107 0.347 0.69 -0.08 -0.005 4.84 4.92 0.295 10.14 24.10 314.159 1.107 0.347 -480 29520 0.000169338 24.10 3000 1.089 0.342 0.74 -0.03 -0.002 5.85 5.93 0.356 8.99 24.70 314.159 1.089 0.342 -180 35580 0.000150133 24.70 3000 1.072 0.377 0.80 0.03 0.002 7.28 7.36 0.442 7.18 25.20 314.159 1.072 0.377 180 44160 0.000119906 25.20 3000 1.058 0.333 0.88 0.11 0.007 8.58 8.66 0.520 5.31 25.40 314.159 1.058 0.333 660 51960 0.000088677 25.40 3000 1.045 0.328 0.98 0.21 0.013 10.14 10.22 0.613 3.09 25.60 314.159 1.045 0.328 1260 61320 0.000051603 25.60 3000 0.990 0.305 1.10 0.33 0.020 12.92 13.00 0.780 0.00 25.90 314.159 0.990 0.305 1980 78000 0 25.90 Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 5000 2.022 1.062 -0.12 -0.89 -0.053 11.60 11.68 0.701 28.09 27.20 523.599 2.022 1.062 -5340 70080 0.000469103 27.20 5000 1.984 1.039 0.02 -0.75 -0.045 15.47 15.55 0.933 24.84 28.10 523.599 1.984 1.039 -4500 93300 0.000414828 28.10 5000 1.901 0.998 0.29 -0.48 -0.029 22.23 22.31 1.339 19.90 28.20 523.599 1.901 0.998 -2880 133860 0.00033233 28.20 5000 1.825 0.974 0.49 -0.28 -0.017 26.22 26.30 1.578 16.00 28.50 523.599 1.825 0.974 -1680 157800 0.0002672 28.50 5000 1.777 0.943 0.73 -0.04 -0.002 30.24 30.32 1.819 10.18 28.90 523.599 1.777 0.943 -240 181920 0.000170006 28.90 5000 1.709 0.901 0.86 0.09 0.005 32.17 32.25 1.935 6.80 29.00 523.599 1.709 0.901 540 193500 0.00011356 29.00 5000 1.545 0.818 1.00 0.23 0.014 34.30 34.38 2.063 2.76 29.40 523.599 1.545 0.818 1380 206280 0.000046092 29.40 5000 1.303 0.679 1.08 0.31 0.019 36.00 36.08 2.165 0.00 30.20 523.599 1.303 0.679 1860 216480 0 30.20 Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 7000 3.062 2.245 -1.22 -1.99 -0.119 18.41 18.49 1.109 45.11 24.00 733.039 3.062 2.245 -11940 110940 0.000753337 24.00 7000 2.913 2.141 -0.70 -1.47 -0.088 40.82 40.90 2.454 38.64 26.10 733.039 2.913 2.141 -8820 245400 0.000645288 26.10 7000 2.748 2.020 -0.17 -0.94 -0.056 52.66 52.74 3.164 30.89 27.20 733.039 2.748 2.020 -5640 316440 0.000515863 27.20 7000 2.615 1.924 0.11 -0.66 -0.040 57.00 57.08 3.425 26.14 28.90 733.039 2.615 1.924 -3960 342480 0.000436538 28.90 7000 2.454 1.809 0.50 -0.27 -0.016 62.48 62.56 3.754 18.02 30.20 733.039 2.454 1.809 -1620 375360 0.000300934 30.20 7000 2.308 1.710 0.74 -0.03 -0.002 64.62 64.70 3.882 11.91 32.30 733.039 2.308 1.710 -180 388200 0.000198897 32.30 7000 2.160 1.599 0.90 0.13 0.008 66.78 66.86 4.012 6.79 34.10 733.039 2.160 1.599 780 401160 0.000113393 34.10 7000 1.557 1.113 1.06 0.29 0.017 71.14 71.22 4.273 0.00 37.30 733.039 1.557 1.113 1740 427320 0 37.30 Performance No Back Pressure 80 Deg C Performance No Back Pressure 80 Deg C Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 0 0.000 0.000 1.67 0.90 0.054 0.38 0.46 0.028 0.00 77.40 0.000 0.000 0.000 5400 2760 0 77.40 1000 0.178 0.018 0.72 -0.05 -0.003 0.77 0.85 0.051 6.76 77.40 104.720 0.178 0.018 -300 5100 0.000112892 77.40 2000 0.335 0.071 0.57 -0.20 -0.012 1.63 1.71 0.103 16.40 78.00 209.440 0.335 0.071 -1200 10260 0.00027388 78.00 3000 0.538 0.169 0.37 -0.40 -0.024 2.79 2.87 0.172 25.54 78.80 314.159 0.538 0.169 -2400 17220 0.000426518 78.80 4000 0.775 0.325 0.13 -0.64 -0.038 3.97 4.05 0.243 33.38 79.00 418.879 0.775 0.325 -3840 24300 0.000557446 79.00 5000 1.035 0.541 -0.10 -0.87 -0.052 4.91 4.99 0.299 39.60 79.40 523.599 1.035 0.541 -5220 29940 0.00066132 79.40 6000 1.320 0.830 -0.31 -1.08 -0.065 5.89 5.97 0.358 44.81 79.80 628.319 1.320 0.830 -6480 35820 0.000748327 79.80 7000 1.645 1.208 -0.60 -1.37 -0.082 7.39 7.47 0.448 50.85 79.80 733.039 1.645 1.208 -8220 44820 0.000849195 79.80 Performance Flow Sweeps Performance Flow Sweeps Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 3000 0.553 0.173 0.38 -0.39 -0.023 2.56 2.64 0.158 26.02 79.60 314.159 0.553 0.173 -2340 15840 0.000434534 79.60 3000 0.516 0.163 0.48 -0.29 -0.017 7.90 7.98 0.479 20.52 79.60 314.159 0.516 0.163 -1740 47880 0.000342684 79.60 3000 0.494 0.155 0.55 -0.22 -0.013 10.17 10.25 0.615 16.10 79.70 314.159 0.494 0.155 -1320 61500 0.00026887 79.70 3000 0.463 0.146 0.63 -0.14 -0.008 11.47 11.55 0.693 10.20 79.90 314.159 0.463 0.146 -840 69300 0.00017034 79.90 3000 0.449 0.142 0.66 -0.11 -0.007 11.62 11.70 0.702 7.57 80.00 314.159 0.449 0.142 -660 70200 0.000126419 80.00 3000 0.431 0.133 0.70 -0.07 -0.004 12.21 12.29 0.737 2.90 80.20 314.159 0.431 0.133 -420 73740 0.00004843 80.20 3000 0.423 0.127 0.72 -0.05 -0.003 12.72 12.80 0.768 0.00 80.10 314.159 0.423 0.127 -300 76800 0 80.10 Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 5000 1.005 0.526 -0.16 -0.93 -0.056 4.75 4.83 0.290 40.31 82.00 523.599 1.005 0.526 -5580 28980 0.000673177 82.00 5000 0.961 0.506 0.00 -0.77 -0.046 19.89 19.97 1.198 35.55 82.30 523.599 0.961 0.506 -4620 119820 0.000593685 82.30 5000 0.920 0.486 0.16 -0.61 -0.037 27.03 27.11 1.627 29.88 83.10 523.599 0.920 0.486 -3660 162660 0.000498996 83.10 5000 0.875 0.463 0.31 -0.46 -0.028 30.56 30.64 1.838 24.49 83.80 523.599 0.875 0.463 -2760 183840 0.000408983 83.80 5000 0.797 0.422 0.51 -0.26 -0.016 33.01 33.09 1.985 15.42 83.70 523.599 0.797 0.422 -1560 198540 0.000257514 83.70 5000 0.767 0.405 0.60 -0.17 -0.010 33.29 33.37 2.002 11.34 83.60 523.599 0.767 0.405 -1020 200220 0.000189378 83.60 5000 0.734 0.390 0.65 -0.12 -0.007 33.82 33.90 2.034 7.21 83.80 523.599 0.734 0.390 -720 203400 0.000120407 83.80 5000 0.693 0.364 0.71 -0.06 -0.004 35.84 35.92 2.155 0.00 83.90 523.599 0.693 0.364 -360 215520 0 83.90 Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 7000 1.688 1.226 -0.62 -1.39 -0.083 7.85 7.93 0.476 50.23 79.60 733.039 1.688 1.226 -8340 47580 0.000838841 79.60 7000 1.544 1.139 -0.28 -1.05 -0.063 42.60 42.68 2.561 44.58 79.60 733.039 1.544 1.139 -6300 256080 0.000744486 79.60 7000 1.499 1.097 0.00 -0.77 -0.046 56.65 56.73 3.404 37.38 79.70 733.039 1.499 1.097 -4620 340380 0.000624246 79.70 7000 1.402 1.034 0.28 -0.49 -0.029 60.68 60.76 3.646 29.61 80.10 733.039 1.402 1.034 -2940 364560 0.000494487 80.10 7000 1.310 0.966 0.51 -0.26 -0.016 64.45 64.53 3.872 21.69 80.30 733.039 1.310 0.966 -1560 387180 0.000362223 80.30 7000 1.249 0.922 0.62 -0.15 -0.009 65.36 65.44 3.926 15.79 80.70 733.039 1.249 0.922 -900 392640 0.000263693 80.70 7000 1.147 0.854 0.76 -0.01 -0.001 67.60 67.68 4.061 6.89 81.40 733.039 1.147 0.854 -60 406080 0.000115063 81.40 7000 1.060 0.779 0.79 0.02 0.001 70.21 70.29 4.217 0.00 81.90 733.039 1.060 0.779 120 421740 0 81.90 1mm Corrected Values Performance No Back Pressure Room Temp Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2520 1980 0 18.70 104.720 0.678 0.180 0.498 0.072 0.028 0.044 2280 6480 0.00003674 18.40 209.440 1.003 0.202 0.801 0.207 0.042 0.165 1500 12720 0.00010354 18.40 314.159 1.200 0.205 0.995 0.375 0.063 0.312 1320 14940 0.000167167 19.40 418.879 1.456 0.208 1.248 0.614 0.086 0.528 -60 28080 0.000301769 19.60 523.599 2.080 0.214 1.866 1.108 0.111 0.997 -4380 68160 0.000482964 20.20 628.319 2.714 0.216 2.498 1.714 0.136 1.578 -8520 98160 0.000588007 22.10 733.039 3.250 0.212 3.038 2.365 0.160 2.205 -12060 120960 0.000801934 22.40 Performance Flow Sweeps Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C 314.159 1.107 0.205 0.902 0.347 0.063 0.284 -480 29520 0.000169338 24.10 30000 0.079 859.0213 0.056697 0.001093 284 1.78878169 0.00 314.159 1.089 0.205 0.884 0.342 0.063 0.279 -180 35580 0.000150133 24.70 35760 0.079 858.6271 0.067614 0.000969 279 1.924285333 0.60 314.159 1.072 0.205 0.867 0.377 0.063 0.314 180 44160 0.000119906 25.20 43980 0.079 858.2986 0.083188 0.000774 314 1.679447732 1.10 314.159 1.058 0.205 0.853 0.333 0.063 0.270 660 51960 0.000088677 25.40 51300 0.079 858.1672 0.097049 0.000573 270 1.684863 1.30 314.159 1.045 0.205 0.840 0.328 0.063 0.265 1260 61320 0.000051603 25.60 60060 0.079 858.0358 0.113639 0.000333 265 1.169538181 1.50 314.159 0.990 0.205 0.785 0.305 0.063 0.242 1980 78000 0 25.90 76020 0.079 857.8387 0.143869 0 242 0 1.80 Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C 523.599 2.022 0.214 1.808 1.062 0.063 0.999 -5340 70080 0.000469103 27.20 75420 0.079 856.9846 0.051435 0.001817 999 3.541516342 0.00 523.599 1.984 0.214 1.770 1.039 0.063 0.976 -4500 93300 0.000414828 28.10 97800 0.079 856.3933 0.066744 0.001607 976 4.156780574 0.90 523.599 1.901 0.214 1.687 0.998 0.063 0.935 -2880 133860 0.00033233 28.20 136740 0.079 856.3276 0.093326 0.001287 935 4.860192963 1.00 523.599 1.825 0.214 1.611 0.974 0.063 0.911 -1680 157800 0.0002672 28.50 159480 0.079 856.1305 0.108872 0.001035 911 4.677613172 1.30 523.599 1.777 0.214 1.563 0.943 0.063 0.880 -240 181920 0.000170006 28.90 182160 0.079 855.8677 0.124393 0.000659 880 3.5191242 1.70 523.599 1.709 0.214 1.495 0.901 0.063 0.838 540 193500 0.00011356 29.00 192960 0.079 855.802 0.131778 0.00044 838 2.614861289 1.80 523.599 1.545 0.214 1.331 0.818 0.063 0.755 1380 206280 0.000046092 29.40 204900 0.079 855.5392 0.139975 0.000179 755 1.250894146 2.20 523.599 1.303 0.214 1.089 0.679 0.063 0.616 1860 216480 0 30.20 214620 0.079 855.0136 0.146705 0 616 0 3.00 Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C 733.039 3.062 0.212 2.850 2.245 0.063 2.182 -11940 110940 0.000753337 24.00 122880 0.079 859.087 0.042652 0.002084 2182 4.242440447 0.00 733.039 2.913 0.212 2.701 2.141 0.063 2.078 -8820 245400 0.000645288 26.10 254220 0.079 857.7073 0.088382 0.001785 2078 7.894375138 2.10 733.039 2.748 0.212 2.536 2.020 0.063 1.957 -5640 316440 0.000515863 27.20 322080 0.079 856.9846 0.112068 0.001427 1957 8.489992593 3.20 733.039 2.615 0.212 2.403 1.924 0.063 1.861 -3960 342480 0.000436538 28.90 346440 0.079 855.8677 0.120702 0.001208 1861 8.126503209 4.90 733.039 2.454 0.212 2.242 1.809 0.063 1.746 -1620 375360 0.000300934 30.20 376980 0.079 855.0136 0.131473 0.000833 1746 6.497485643 6.20 733.039 2.308 0.212 2.096 1.710 0.063 1.647 -180 388200 0.000198897 32.30 388380 0.079 853.6339 0.135668 0.00055 1647 4.690201388 8.30 733.039 2.160 0.212 1.948 1.599 0.063 1.536 780 401160 0.000113393 34.10 400380 0.079 852.4513 0.140054 0.000314 1536 2.955748004 10.10 733.039 1.557 0.212 1.345 1.113 0.063 1.050 1740 427320 0 37.30 425580 0.079 850.3489 0.149237 0 1050 0 13.30 Performance No Back Pressure 80 Deg C Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C 0.000 0.000 0.000 0.000 0.000 0.000 0.000 5400 2760 0 77.40 104.720 0.178 0.110 0.068 0.018 0.011 0.007 -300 5100 0.000112892 77.40 209.440 0.335 0.121 0.214 0.071 0.025 0.046 -1200 10260 0.00027388 78.00 314.159 0.538 0.125 0.413 0.169 0.039 0.130 -2400 17220 0.000426518 78.80 418.879 0.775 0.129 0.646 0.325 0.054 0.271 -3840 24300 0.000557446 79.00 523.599 1.035 0.131 0.904 0.541 0.069 0.472 -5220 29940 0.00066132 79.40 628.319 1.320 0.132 1.188 0.830 0.082 0.748 -6480 35820 0.000748327 79.80 733.039 1.645 0.131 1.514 1.208 0.090 1.118 -8220 44820 0.000849195 79.80 Performance Flow Sweeps Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C 314.159 0.553 0.125 0.428 0.173 0.039 0.134 -2340 15840 0.000434534 79.60 18180 0.079 822.5578 0.035882 0.002805 134 5.895394119 0.00 314.159 0.516 0.125 0.391 0.163 0.039 0.124 -1740 47880 0.000342684 79.60 49620 0.079 822.5578 0.097935 0.002212 124 13.71288716 0.00 314.159 0.494 0.125 0.369 0.155 0.039 0.116 -1320 61500 0.00026887 79.70 62820 0.079 822.4921 0.123997 0.001736 116 14.56070121 0.10 314.159 0.463 0.125 0.338 0.146 0.039 0.107 -840 69300 0.00017034 79.90 70140 0.079 822.3607 0.138468 0.0011 107 11.16602579 0.30 314.159 0.449 0.125 0.324 0.142 0.039 0.103 -660 70200 0.000126419 80.00 70860 0.079 822.295 0.1399 0.000816 103 8.697136252 0.40 314.159 0.431 0.125 0.306 0.133 0.039 0.094 -420 73740 0.00004843 80.20 74160 0.079 822.1636 0.146439 0.000313 94 3.820817872 0.60 314.159 0.423 0.125 0.298 0.127 0.039 0.088 -300 76800 0 80.10 77100 0.079 822.2293 0.152232 0 88 0 0.50 Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C 523.599 1.005 0.131 0.874 0.526 0.069 0.457 -5580 28980 0.000673177 82.00 34560 0.079 820.981 0.024603 0.002608 457 5.090808998 0.00 523.599 0.961 0.131 0.830 0.506 0.069 0.437 -4620 119820 0.000593685 82.30 124440 0.079 820.7839 0.088609 0.0023 437 16.90575776 0.30 523.599 0.920 0.131 0.789 0.486 0.069 0.417 -3660 162660 0.000498996 83.10 166320 0.079 820.2583 0.118506 0.001933 417 19.90240161 1.10 523.599 0.875 0.131 0.744 0.463 0.069 0.394 -2760 183840 0.000408983 83.80 186600 0.079 819.7984 0.133031 0.001584 394 19.36960096 1.80 523.599 0.797 0.131 0.666 0.422 0.069 0.353 -1560 198540 0.000257514 83.70 200100 0.079 819.8641 0.142644 0.000998 353 14.59732334 1.70 523.599 0.767 0.131 0.636 0.405 0.069 0.336 -1020 200220 0.000189378 83.60 201240 0.079 819.9298 0.143445 0.000734 336 11.3423895 1.60 523.599 0.734 0.131 0.603 0.390 0.069 0.321 -720 203400 0.000120407 83.80 204120 0.079 819.7984 0.145521 0.000466 321 7.656534841 1.80 523.599 0.693 0.131 0.562 0.364 0.069 0.295 -360 215520 0 83.90 215880 0.079 819.7327 0.153918 0 295 0 1.90 Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C 733.039 1.688 0.131 1.557 1.226 0.090 1.136 -8340 47580 0.000838841 79.60 55920 0.079 822.5578 0.020272 0.002321 1136 4.129224359 0.00 733.039 1.544 0.131 1.413 1.139 0.090 1.049 -6300 256080 0.000744486 79.60 262380 0.079 822.5578 0.095117 0.00206 1049 18.62137623 0.00 733.039 1.499 0.131 1.368 1.097 0.090 1.007 -4620 340380 0.000624246 79.70 345000 0.079 822.4921 0.125078 0.001727 1007 21.38677954 0.10 733.039 1.402 0.131 1.271 1.034 0.090 0.944 -2940 364560 0.000494487 80.10 367500 0.079 822.2293 0.133277 0.001368 944 19.25042082 0.50 733.039 1.310 0.131 1.179 0.966 0.090 0.876 -1560 387180 0.000362223 80.30 388740 0.079 822.0979 0.141003 0.001002 876 16.07426587 0.70 733.039 1.249 0.131 1.118 0.922 0.090 0.832 -900 392640 0.000263693 80.70 393540 0.079 821.8351 0.14279 0.00073 832 12.47280568 1.10 733.039 1.147 0.131 1.016 0.854 0.090 0.764 -60 406080 0.000115063 81.40 406140 0.079 821.3752 0.147444 0.000318 764 6.116712935 1.80 733.039 1.060 0.131 0.929 0.779 0.090 0.689 120 421740 0 81.90 421620 0.079 821.0467 0.153125 0 689 0 2.30
  • 91.
    Appendix A VIII Testingof existing impeller configurations Design analysis of a centrifugal disc pump for automotive applications 1mm Room Temp Pressure v Flowrate 0 50000 100000 150000 200000 250000 300000 350000 400000 450000 500000 0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001 Flowrate m^3/s PressureN/m^2 0 5 10 15 20 25 Efficiency% 3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency 1mm Room Temp Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 Q/(ND^3) deltaP/(pN^2D^2) 3000RPM 5000RPM 7000RPM
  • 92.
    Appendix A IX Testingof existing impeller configurations Design analysis of a centrifugal disc pump for automotive applications 06 1mm 80 Deg C Pressure v Flowrate 0 50000 100000 150000 200000 250000 300000 350000 400000 450000 500000 0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001 Flowrate m^3/s PressureN/m^2 0 5 10 15 20 25 Efficiency 3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency 1mm 80 Deg C Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 Q/(ND^3) deltaP/(pN^2D^2) 3000RPM 5000RPM 7000RPM
  • 93.
    Appendix B X Testingof ideal impeller configuration Design analysis of a centrifugal disc pump for automotive applications %4 65# 0.4mm 0.4mm SI Units Performance No Back Pressure Room Temp Performance No Back Pressure Room Temp Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 0 0.000 0.000 1.19 0.42 0.025 0.23 0.31 0.019 0.00 24.00 0.000 0.000 0.000 2520 1860 0 24.00 1000 0.576 0.058 1.00 0.23 0.014 0.71 0.79 0.047 2.10 25.20 104.720 0.576 0.058 1380 4740 0.00003507 25.20 2000 0.851 0.178 0.92 0.15 0.009 1.89 1.97 0.118 4.07 25.40 209.440 0.851 0.178 900 11820 0.000067969 25.40 3000 1.170 0.366 0.71 -0.06 -0.004 3.78 3.86 0.232 9.82 26.40 314.159 1.170 0.366 -360 23160 0.000163994 26.40 4000 1.587 0.664 0.43 -0.34 -0.020 6.23 6.31 0.379 17.15 26.90 418.879 1.587 0.664 -2040 37860 0.000286405 26.90 5000 2.008 1.052 0.08 -0.69 -0.041 8.90 8.98 0.539 24.98 27.10 523.599 2.008 1.052 -4140 53880 0.000417166 27.10 6000 2.502 1.575 -0.42 -1.19 -0.071 12.18 12.26 0.736 34.17 28.00 628.319 2.502 1.575 -7140 73560 0.000570639 28.00 7000 3.009 2.202 -0.99 -1.76 -0.106 15.58 15.66 0.940 43.70 28.40 733.039 3.009 2.202 -10560 93960 0.00072979 28.40 Performance Flow Sweeps Performance Flow Sweeps Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 3000 1.115 0.350 0.71 -0.06 -0.004 3.80 3.88 0.233 11.31 29.00 314.159 1.115 0.350 -360 23280 0.000188877 29.00 3000 1.098 0.345 0.74 -0.03 -0.002 5.07 5.15 0.309 10.05 29.20 314.159 1.098 0.345 -180 30900 0.000167835 29.20 3000 1.076 0.338 0.79 0.02 0.001 6.94 7.02 0.421 8.02 29.50 314.159 1.076 0.338 120 42120 0.000133934 29.50 3000 1.047 0.329 0.88 0.11 0.007 9.28 9.36 0.562 5.07 30.00 314.159 1.047 0.329 660 56160 0.000084669 30.00 3000 1.031 0.325 0.94 0.17 0.010 10.89 10.97 0.658 2.87 30.10 314.159 1.031 0.325 1020 65820 0.000047929 30.10 3000 0.961 0.300 1.01 0.24 0.014 13.61 13.69 0.821 0.00 31.00 314.159 0.961 0.300 1440 82140 0 31.00 Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 5000 1.913 1.002 0.05 -0.72 -0.043 8.67 8.75 0.525 26.40 30.00 523.599 1.913 1.002 -4320 52500 0.00044088 30.00 5000 1.830 0.957 0.34 -0.43 -0.026 18.24 18.32 1.099 20.55 30.10 523.599 1.830 0.957 -2580 109920 0.000343185 30.10 5000 1.766 0.927 0.52 -0.25 -0.015 23.18 23.26 1.396 16.41 31.20 523.599 1.766 0.927 -1500 139560 0.000274047 31.20 5000 1.686 0.883 0.70 -0.07 -0.004 27.81 27.89 1.673 11.46 32.00 523.599 1.686 0.883 -420 167340 0.000191382 32.00 5000 1.600 0.838 0.84 0.07 0.004 30.81 30.89 1.853 7.18 32.40 523.599 1.600 0.838 420 185340 0.000119906 32.40 5000 1.474 0.776 0.95 0.18 0.011 35.51 35.59 2.135 2.71 33.00 523.599 1.474 0.776 1080 213540 0.000045257 33.00 5000 1.200 0.630 1.02 0.25 0.015 36.99 37.07 2.224 0.00 33.00 523.599 1.200 0.630 1500 222420 0 33.00 Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 7000 3.076 2.245 -0.94 -1.71 -0.103 16.02 16.10 0.966 43.38 26.00 733.039 3.076 2.245 -10260 96600 0.000724446 26.00 7000 2.908 2.133 -0.47 -1.24 -0.074 34.60 34.68 2.081 36.55 27.10 733.039 2.908 2.133 -7440 208080 0.000610385 27.10 7000 2.758 2.028 -0.04 -0.81 -0.049 45.43 45.51 2.731 29.65 28.00 733.039 2.758 2.028 -4860 273060 0.000495155 28.00 7000 2.574 1.903 0.36 -0.41 -0.025 54.41 54.49 3.269 21.29 30.20 733.039 2.574 1.903 -2460 326940 0.000355543 30.20 7000 2.439 1.803 0.61 -0.16 -0.010 58.50 58.58 3.515 15.60 31.40 733.039 2.439 1.803 -960 351480 0.00026052 31.40 7000 2.254 1.675 0.82 0.05 0.003 65.24 65.32 3.919 9.15 31.90 733.039 2.254 1.675 300 391920 0.000152805 31.90 7000 1.993 1.474 0.96 0.19 0.011 70.46 70.54 4.232 3.39 32.00 733.039 1.993 1.474 1140 423240 0.000056613 32.00 7000 1.599 1.152 1.03 0.26 0.016 74.24 74.32 4.459 0.00 34.00 733.039 1.599 1.152 1560 445920 0 34.00 Performance No Back Pressure 80 Deg C Performance No Back Pressure 80 Deg C Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 0 0.000 0.000 0.80 0.03 0.002 0.25 0.33 0.020 0.00 80.10 0.000 0.000 0.000 180 1980 0 80.10 1000 0.196 0.021 0.75 -0.02 -0.001 0.64 0.72 0.043 6.22 80.50 104.720 0.196 0.021 -120 4320 0.000103874 80.50 2000 0.346 0.072 0.60 -0.17 -0.010 1.52 1.60 0.096 16.50 81.20 209.440 0.346 0.072 -1020 9600 0.00027555 81.20 3000 0.541 0.169 0.36 -0.41 -0.025 2.57 2.65 0.159 26.32 82.10 314.159 0.541 0.169 -2460 15900 0.000439544 82.10 4000 0.771 0.323 0.10 -0.67 -0.040 3.63 3.71 0.223 34.38 83.50 418.879 0.771 0.323 -4020 22260 0.000574146 83.50 5000 1.030 0.538 -0.17 -0.94 -0.056 4.75 4.83 0.290 40.65 84.00 523.599 1.030 0.538 -5640 28980 0.000678855 84.00 6000 1.337 0.839 -0.48 -1.25 -0.075 6.02 6.10 0.366 46.60 84.10 628.319 1.337 0.839 -7500 36600 0.00077822 84.10 7000 1.651 1.206 -0.80 -1.57 -0.094 9.44 9.52 0.571 52.14 85.00 733.039 1.651 1.206 -9420 57120 0.000870738 85.00 Performance Flow Sweeps Performance Flow Sweeps Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 3000 0.549 0.173 0.31 -0.46 -0.028 2.51 2.59 0.155 25.90 80.00 314.159 0.549 0.173 -2760 15540 0.00043253 80.00 3000 0.519 0.163 0.41 -0.36 -0.022 6.81 6.89 0.413 21.07 80.10 314.159 0.519 0.163 -2160 41340 0.000351869 80.10 3000 0.495 0.155 0.51 -0.26 -0.016 9.30 9.38 0.563 16.61 79.90 314.159 0.495 0.155 -1560 56280 0.000277387 79.90 3000 0.469 0.148 0.57 -0.20 -0.012 10.58 10.66 0.640 12.76 79.60 314.159 0.469 0.148 -1200 63960 0.000213092 79.60 3000 0.450 0.142 0.62 -0.15 -0.009 11.50 11.58 0.695 8.82 79.60 314.159 0.450 0.142 -900 69480 0.000147294 79.60 3000 0.433 0.136 0.66 -0.11 -0.007 12.10 12.18 0.731 4.65 79.80 314.159 0.433 0.136 -660 73080 0.000077655 79.80 3000 0.415 0.132 0.72 -0.05 -0.003 13.08 13.16 0.790 0.00 79.90 314.159 0.415 0.132 -300 78960 0 79.90 Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 5000 1.081 0.568 -0.29 -1.06 -0.064 5.44 5.52 0.331 40.70 80.00 523.599 1.081 0.568 -6360 33120 0.00067969 80.00 5000 1.006 0.529 0.01 -0.76 -0.046 21.71 21.79 1.307 34.22 80.20 523.599 1.006 0.529 -4560 130740 0.000571474 80.20 5000 0.958 0.505 0.20 -0.57 -0.034 27.26 27.34 1.640 29.23 80.40 523.599 0.958 0.505 -3420 164040 0.000488141 80.40 5000 0.905 0.478 0.34 -0.43 -0.026 31.09 31.17 1.870 23.52 80.30 523.599 0.905 0.478 -2580 187020 0.000392784 80.30 5000 0.858 0.452 0.50 -0.27 -0.016 32.81 32.89 1.973 17.15 80.30 523.599 0.858 0.452 -1620 197340 0.000286405 80.30 5000 0.799 0.422 0.58 -0.19 -0.011 34.06 34.14 2.048 11.69 80.30 523.599 0.799 0.422 -1140 204840 0.000195223 80.30 5000 0.751 0.397 0.66 -0.11 -0.007 35.21 35.29 2.117 5.85 80.90 523.599 0.751 0.397 -660 211740 0.000097695 80.90 5000 0.707 0.372 0.72 -0.05 -0.003 36.95 37.03 2.222 0.00 81.00 523.599 0.707 0.372 -300 222180 0 81.00 Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 7000 1.721 1.258 -0.76 -1.53 -0.092 8.48 8.56 0.514 51.67 79.20 733.039 1.721 1.258 -9180 51360 0.000862889 79.20 7000 1.629 1.189 -0.40 -1.17 -0.070 47.85 47.93 2.876 44.63 79.40 733.039 1.629 1.189 -7020 287580 0.000745321 79.40 7000 1.510 1.111 -0.04 -0.81 -0.049 59.36 59.44 3.566 36.45 79.50 733.039 1.510 1.111 -4860 356640 0.000608715 79.50 7000 1.418 1.041 0.22 -0.55 -0.033 62.27 62.35 3.741 29.18 79.80 733.039 1.418 1.041 -3300 374100 0.000487306 79.80 7000 1.324 0.976 0.42 -0.35 -0.021 65.90 65.98 3.959 21.58 80.00 733.039 1.324 0.976 -2100 395880 0.000360386 80.00 7000 1.261 0.929 0.55 -0.22 -0.013 67.40 67.48 4.049 16.90 80.50 733.039 1.261 0.929 -1320 404880 0.00028223 80.50 7000 1.176 0.865 0.67 -0.10 -0.006 69.28 69.36 4.162 9.15 81.40 733.039 1.176 0.865 -600 416160 0.000152805 81.40 7000 1.092 0.802 0.73 -0.04 -0.002 71.69 71.77 4.306 2.47 82.30 733.039 1.092 0.802 -240 430620 0.000041249 82.30 7000 1.092 0.768 0.75 -0.02 -0.001 72.89 72.97 4.378 0.00 83.40 733.039 1.092 0.768 -120 437820 0 83.40 0.4mm Corrected Values Performance No Back Pressure Room Temp Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2520 1860 0 24.00 104.720 0.576 0.180 0.396 0.058 0.028 0.030 1380 4740 0.00003507 25.20 209.440 0.851 0.202 0.649 0.178 0.042 0.136 900 11820 0.000067969 25.40 314.159 1.170 0.205 0.965 0.366 0.063 0.303 -360 23160 0.000163994 26.40 418.879 1.587 0.208 1.379 0.664 0.086 0.578 -2040 37860 0.000286405 26.90 523.599 2.008 0.214 1.794 1.052 0.111 0.941 -4140 53880 0.000417166 27.10 628.319 2.502 0.216 2.286 1.575 0.136 1.439 -7140 73560 0.000570639 28.00 733.039 3.009 0.212 2.797 2.202 0.160 2.042 -10560 93960 0.00072979 28.40 Performance Flow Sweeps Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C 314.159 1.115 0.205 0.910 0.350 0.063 0.287 -360 23280 0.000188877 29.00 23640 0.079 855.802 0.044846 0.001219404 287 1.555767345 0.00 314.159 1.098 0.205 0.893 0.345 0.063 0.282 -180 30900 0.000167835 29.20 31080 0.079 855.6706 0.058969 0.001083556 282 1.849755957 0.20 314.159 1.076 0.205 0.871 0.338 0.063 0.275 120 42120 0.000133934 29.50 42000 0.079 855.4735 0.079706 0.000864688 275 2.045537455 0.50 314.159 1.047 0.205 0.842 0.329 0.063 0.266 660 56160 0.000084669 30.00 55500 0.079 855.145 0.105366 0.00054663 266 1.766590038 1.00 314.159 1.031 0.205 0.826 0.325 0.063 0.262 1020 65820 0.000047929 30.10 64800 0.079 855.0793 0.123031 0.000309433 262 1.185419542 1.10 314.159 0.961 0.205 0.756 0.300 0.063 0.237 1440 82140 0 31.00 80700 0.079 854.488 0.153325 0 237 0 2.00 Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C 523.599 1.913 0.214 1.699 1.002 0.111 0.891 -4320 52500 0.00044088 30.00 56820 0.079 855.145 0.038834 0.001707813 891 2.811537778 0.00 523.599 1.830 0.214 1.616 0.957 0.111 0.846 -2580 109920 0.000343185 30.10 112500 0.079 855.0793 0.076894 0.001329377 846 4.563630319 0.10 523.599 1.766 0.214 1.552 0.927 0.111 0.816 -1500 139560 0.000274047 31.20 141060 0.079 854.3566 0.096497 0.001061561 816 4.737386007 1.20 523.599 1.686 0.214 1.472 0.883 0.111 0.772 -420 167340 0.000191382 32.00 167760 0.079 853.831 0.114832 0.000741346 772 4.158839938 2.00 523.599 1.600 0.214 1.386 0.838 0.111 0.727 420 185340 0.000119906 32.40 184920 0.079 853.5682 0.126618 0.000464473 727 3.049933634 2.40 523.599 1.474 0.214 1.260 0.776 0.111 0.665 1080 213540 0.000045257 33.00 212460 0.079 853.174 0.145542 0.00017531 665 1.445910108 3.00 523.599 1.200 0.214 0.986 0.630 0.111 0.519 1500 222420 0 33.00 220920 0.079 853.174 0.151337 0 519 0 3.00 Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C 733.039 3.076 0.212 2.864 2.245 0.160 2.085 -10260 96600 0.000724446 26.00 106860 0.079 857.773 0.037148 0.002004462 2085 3.712916046 0.00 733.039 2.908 0.212 2.696 2.133 0.160 1.973 -7440 208080 0.000610385 27.10 215520 0.079 857.0503 0.074985 0.001688868 1973 6.667520284 1.10 733.039 2.758 0.212 2.546 2.028 0.160 1.868 -4860 273060 0.000495155 28.00 277920 0.079 856.459 0.096762 0.001370039 1868 7.366888522 2.00 733.039 2.574 0.212 2.362 1.903 0.160 1.743 -2460 326940 0.000355543 30.20 329400 0.079 855.0136 0.11488 0.000983748 1743 6.719211945 4.20 733.039 2.439 0.212 2.227 1.803 0.160 1.643 -960 351480 0.00026052 31.40 352440 0.079 854.2252 0.123028 0.00072083 1643 5.58841563 5.40 733.039 2.254 0.212 2.042 1.675 0.160 1.515 300 391920 0.000152805 31.90 391620 0.079 853.8967 0.136758 0.000422795 1515 3.949933604 5.90 733.039 1.993 0.212 1.781 1.474 0.160 1.314 1140 423240 0.000056613 32.00 422100 0.079 853.831 0.147413 0.000156642 1314 1.818595685 6.00 733.039 1.599 0.212 1.387 1.152 0.160 0.992 1560 445920 0 34.00 444360 0.079 852.517 0.155426 0 992 0 8.00 Performance No Back Pressure 80 Deg C Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C 0.000 0.000 0.000 0.000 0.000 0.000 0.000 180 1980 0 80.10 104.720 0.196 0.110 0.086 0.021 0.011 0.010 -120 4320 0.000103874 80.50 209.440 0.346 0.121 0.225 0.072 0.025 0.047 -1020 9600 0.00027555 81.20 314.159 0.541 0.125 0.416 0.169 0.039 0.130 -2460 15900 0.000439544 82.10 418.879 0.771 0.129 0.642 0.323 0.054 0.269 -4020 22260 0.000574146 83.50 523.599 1.030 0.131 0.899 0.538 0.069 0.469 -5640 28980 0.000678855 84.00 628.319 1.337 0.132 1.205 0.839 0.082 0.757 -7500 36600 0.00077822 84.10 733.039 1.651 0.131 1.520 1.206 0.090 1.116 -9420 57120 0.000870738 85.00 Performance Flow Sweeps Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C 314.159 0.549 0.125 0.424 0.173 0.039 0.134 -2760 15540 0.00043253 80.00 18300 0.079 822.295 0.03613 0.002792447 134 5.906939552 0.00 314.159 0.519 0.125 0.394 0.163 0.039 0.124 -2160 41340 0.000351869 80.10 43500 0.079 822.2293 0.08589 0.002271693 124 12.34379153 0.10 314.159 0.495 0.125 0.370 0.155 0.039 0.116 -1560 56280 0.000277387 79.90 57840 0.079 822.3607 0.114186 0.001790832 116 13.83108972 -0.10 314.159 0.469 0.125 0.344 0.148 0.039 0.109 -1200 63960 0.000213092 79.60 65160 0.079 822.5578 0.128606 0.001375738 109 12.73860066 -0.40 314.159 0.450 0.125 0.325 0.142 0.039 0.103 -900 69480 0.000147294 79.60 70380 0.079 822.5578 0.138908 0.000950941 103 10.06461332 -0.40 314.159 0.433 0.125 0.308 0.136 0.039 0.097 -660 73080 0.000077655 79.80 73740 0.079 822.4264 0.145563 0.000501347 97 5.903381134 -0.20 314.159 0.415 0.125 0.290 0.132 0.039 0.093 -300 78960 0 79.90 79260 0.079 822.3607 0.156472 0 93 0 -0.10 Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C 523.599 1.081 0.131 0.950 0.568 0.069 0.499 -6360 33120 0.00067969 80.00 39480 0.079 822.295 0.028061 0.002632878 499 5.377587415 0.00 523.599 1.006 0.131 0.875 0.529 0.069 0.460 -4560 130740 0.000571474 80.20 135300 0.079 822.1636 0.096181 0.002213688 460 16.80878961 0.20 523.599 0.958 0.131 0.827 0.505 0.069 0.436 -3420 164040 0.000488141 80.40 167460 0.079 822.0322 0.119061 0.001890885 436 18.74864492 0.40 523.599 0.905 0.131 0.774 0.478 0.069 0.409 -2580 187020 0.000392784 80.30 189600 0.079 822.0979 0.134792 0.001521506 409 18.2082754 0.30 523.599 0.858 0.131 0.727 0.452 0.069 0.383 -1620 197340 0.000286405 80.30 198960 0.079 822.0979 0.141446 0.001109432 383 14.87810413 0.30 523.599 0.799 0.131 0.668 0.422 0.069 0.353 -1140 204840 0.000195223 80.30 205980 0.079 822.0979 0.146437 0.000756225 353 11.39151092 0.30 523.599 0.751 0.131 0.620 0.397 0.069 0.328 -660 211740 0.000097695 80.90 212400 0.079 821.7037 0.151073 0.000378436 328 6.326346951 0.90 523.599 0.707 0.131 0.576 0.372 0.069 0.303 -300 222180 0 81.00 222480 0.079 821.638 0.158255 0 303 0 1.00 Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Delta T Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % deg C 733.039 1.721 0.131 1.590 1.258 0.090 1.168 -9180 51360 0.000862889 79.20 60540 0.079 822.8206 0.02194 0.002387519 1168 4.472542813 0.00 733.039 1.629 0.131 1.498 1.189 0.090 1.099 -7020 287580 0.000745321 79.40 294600 0.079 822.6892 0.10678 0.002062221 1099 19.97921443 0.20 733.039 1.510 0.131 1.379 1.111 0.090 1.021 -4860 356640 0.000608715 79.50 361500 0.079 822.6235 0.131039 0.001684247 1021 21.55244589 0.30 733.039 1.418 0.131 1.287 1.041 0.090 0.951 -3300 374100 0.000487306 79.80 377400 0.079 822.4264 0.136835 0.001348322 951 19.33851571 0.60 733.039 1.324 0.131 1.193 0.976 0.090 0.886 -2100 395880 0.000360386 80.00 397980 0.079 822.295 0.14432 0.000997148 886 16.18808355 0.80 733.039 1.261 0.131 1.130 0.929 0.090 0.839 -1320 404880 0.00028223 80.50 406200 0.079 821.9665 0.147359 0.000780899 839 13.66410322 1.30 733.039 1.176 0.131 1.045 0.865 0.090 0.775 -600 416160 0.000152805 81.40 416760 0.079 821.3752 0.151299 0.000422795 775 8.217162813 2.20 733.039 1.092 0.131 0.961 0.802 0.090 0.712 -240 430620 0.000041249 82.30 430860 0.079 820.7839 0.156531 0.000114131 712 2.49614384 3.10 733.039 1.092 0.131 0.961 0.768 0.090 0.678 -120 437820 0 83.40 437940 0.079 820.0612 0.159243 0 678 0 4.20
  • 94.
    Appendix B XI Testingof ideal impeller configuration Design analysis of a centrifugal disc pump for automotive applications 65# 0.4mm Room Temp Pressure v Flowrate 0 50000 100000 150000 200000 250000 300000 350000 400000 450000 500000 0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001 Flowrate m^3/s PressureN/m^2 0 5 10 15 20 25 Efficiency% 3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency 0.4mm Room Temp Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 Q/(ND^3) deltaP/(pN^2D^2) 3000RPM 5000RPM 7000RPM
  • 95.
    Appendix B XII Testingof ideal impeller configuration Design analysis of a centrifugal disc pump for automotive applications 65# 06 0.4 mm 80 Deg C Pressure v Flowrate 0 50000 100000 150000 200000 250000 300000 350000 400000 450000 500000 0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001 Flowrate m^3/s PressureN/m^2 0 5 10 15 20 25 Efficency% 3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency 0.4mm 80 Deg C Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 Q/(ND^3) deltaP/(pN^2D^2) 3000RPM 5000RPM 7000RPM
  • 96.
    Appendix C XIII Dimensionlessimpeller configuration data Design analysis of a centrifugal disc pump for automotive applications % "666'78 3000RPM 80 Deg C Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 Q/(ND^3) deltaP/(pN^2D^2) 3.25mm 2mm 1mm 0.4mm .666'78 5000RPM 80 Deg C Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 Q/(ND^3) deltaP/(pN^2D^2) 3.25mm 2mm 1mm 0.4mm
  • 97.
    Appendix C XIV Dimensionlessimpeller configuration data Design analysis of a centrifugal disc pump for automotive applications /666'78 7000RPM 80 Deg C Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 Q/(ND^3) deltaP/(pN^2D^2) 3.25mm 2mm 1mm 0.4mm
  • 98.
    Appendix D XV Testingof concentric casing Design analysis of a centrifugal disc pump for automotive applications % !5!. Casing Standard 2.25mm 0.4mm Performance Flow Sweeps SI Units Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 3000 0.549 0.173 0.31 -0.46 -0.028 2.51 2.59 0.155 25.90 80.00 314.159 0.549 0.173 -2760 15540 0.00043253 80.00 3000 0.519 0.163 0.41 -0.36 -0.022 6.81 6.89 0.413 21.07 80.10 314.159 0.519 0.163 -2160 41340 0.000351869 80.10 3000 0.495 0.155 0.51 -0.26 -0.016 9.30 9.38 0.563 16.61 79.90 314.159 0.495 0.155 -1560 56280 0.000277387 79.90 3000 0.469 0.148 0.57 -0.20 -0.012 10.58 10.66 0.640 12.76 79.60 314.159 0.469 0.148 -1200 63960 0.000213092 79.60 3000 0.450 0.142 0.62 -0.15 -0.009 11.50 11.58 0.695 8.82 79.60 314.159 0.450 0.142 -900 69480 0.000147294 79.60 3000 0.433 0.136 0.66 -0.11 -0.007 12.10 12.18 0.731 4.65 79.80 314.159 0.433 0.136 -660 73080 0.000077655 79.80 3000 0.415 0.132 0.72 -0.05 -0.003 13.08 13.16 0.790 0.00 79.90 314.159 0.415 0.132 -300 78960 0 79.90 Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 5000 1.081 0.568 -0.29 -1.06 -0.064 5.44 5.52 0.331 40.70 80.00 523.599 1.081 0.568 -6360 33120 0.00067969 80.00 5000 1.006 0.529 0.01 -0.76 -0.046 21.71 21.79 1.307 34.22 80.20 523.599 1.006 0.529 -4560 130740 0.000571474 80.20 5000 0.958 0.505 0.20 -0.57 -0.034 27.26 27.34 1.640 29.23 80.40 523.599 0.958 0.505 -3420 164040 0.000488141 80.40 5000 0.905 0.478 0.34 -0.43 -0.026 31.09 31.17 1.870 23.52 80.30 523.599 0.905 0.478 -2580 187020 0.000392784 80.30 5000 0.858 0.452 0.50 -0.27 -0.016 32.81 32.89 1.973 17.15 80.30 523.599 0.858 0.452 -1620 197340 0.000286405 80.30 5000 0.799 0.422 0.58 -0.19 -0.011 34.06 34.14 2.048 11.69 80.30 523.599 0.799 0.422 -1140 204840 0.000195223 80.30 5000 0.751 0.397 0.66 -0.11 -0.007 35.21 35.29 2.117 5.85 80.90 523.599 0.751 0.397 -660 211740 0.000097695 80.90 5000 0.707 0.372 0.72 -0.05 -0.003 36.95 37.03 2.222 0.00 81.00 523.599 0.707 0.372 -300 222180 0 81.00 Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 7000 1.721 1.258 -0.76 -1.53 -0.092 8.48 8.56 0.514 51.67 79.20 733.039 1.721 1.258 -9180 51360 0.000862889 79.20 7000 1.629 1.189 -0.40 -1.17 -0.070 47.85 47.93 2.876 44.63 79.40 733.039 1.629 1.189 -7020 287580 0.000745321 79.40 7000 1.510 1.111 -0.04 -0.81 -0.049 59.36 59.44 3.566 36.45 79.50 733.039 1.510 1.111 -4860 356640 0.000608715 79.50 7000 1.418 1.041 0.22 -0.55 -0.033 62.27 62.35 3.741 29.18 79.80 733.039 1.418 1.041 -3300 374100 0.000487306 79.80 7000 1.324 0.976 0.42 -0.35 -0.021 65.90 65.98 3.959 21.58 80.00 733.039 1.324 0.976 -2100 395880 0.000360386 80.00 7000 1.261 0.929 0.55 -0.22 -0.013 67.40 67.48 4.049 16.90 80.50 733.039 1.261 0.929 -1320 404880 0.00028223 80.50 7000 1.176 0.865 0.67 -0.10 -0.006 69.28 69.36 4.162 9.15 81.40 733.039 1.176 0.865 -600 416160 0.000152805 81.40 7000 1.092 0.802 0.73 -0.04 -0.002 71.69 71.77 4.306 2.47 82.30 733.039 1.092 0.802 -240 430620 0.000041249 82.30 7000 1.092 0.768 0.75 -0.02 -0.001 72.89 72.97 4.378 0.00 83.40 733.039 1.092 0.768 -120 437820 0 83.40 0.4mm Corrected Values Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % 314.159 0.549 0.125 0.424 0.173 0.039 0.134 -2760 15540 0.00043253 80.00 18300 0.079 822.295 0.03613 0.002792447 134 5.90694 314.159 0.519 0.125 0.394 0.163 0.039 0.124 -2160 41340 0.000351869 80.10 43500 0.079 822.2293 0.08589 0.002271693 124 12.34379 314.159 0.495 0.125 0.370 0.155 0.039 0.116 -1560 56280 0.000277387 79.90 57840 0.079 822.3607 0.114186 0.001790832 116 13.83109 314.159 0.469 0.125 0.344 0.148 0.039 0.109 -1200 63960 0.000213092 79.60 65160 0.079 822.5578 0.128606 0.001375738 109 12.7386 314.159 0.450 0.125 0.325 0.142 0.039 0.103 -900 69480 0.000147294 79.60 70380 0.079 822.5578 0.138908 0.000950941 103 10.06461 314.159 0.433 0.125 0.308 0.136 0.039 0.097 -660 73080 0.000077655 79.80 73740 0.079 822.4264 0.145563 0.000501347 97 5.903381 314.159 0.415 0.125 0.290 0.132 0.039 0.093 -300 78960 0 79.90 79260 0.079 822.3607 0.156472 0 93 0 Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % 523.599 1.081 0.131 0.950 0.568 0.069 0.499 -6360 33120 0.00067969 80.00 39480 0.079 822.295 0.028061 0.002632878 499 5.377587 523.599 1.006 0.131 0.875 0.529 0.069 0.460 -4560 130740 0.000571474 80.20 135300 0.079 822.1636 0.096181 0.002213688 460 16.80879 523.599 0.958 0.131 0.827 0.505 0.069 0.436 -3420 164040 0.000488141 80.40 167460 0.079 822.0322 0.119061 0.001890885 436 18.74864 523.599 0.905 0.131 0.774 0.478 0.069 0.409 -2580 187020 0.000392784 80.30 189600 0.079 822.0979 0.134792 0.001521506 409 18.20828 523.599 0.858 0.131 0.727 0.452 0.069 0.383 -1620 197340 0.000286405 80.30 198960 0.079 822.0979 0.141446 0.001109432 383 14.8781 523.599 0.799 0.131 0.668 0.422 0.069 0.353 -1140 204840 0.000195223 80.30 205980 0.079 822.0979 0.146437 0.000756225 353 11.39151 523.599 0.751 0.131 0.620 0.397 0.069 0.328 -660 211740 0.000097695 80.90 212400 0.079 821.7037 0.151073 0.000378436 328 6.326347 523.599 0.707 0.131 0.576 0.372 0.069 0.303 -300 222180 0 81.00 222480 0.079 821.638 0.158255 0 303 0 Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % 733.039 1.721 0.131 1.590 1.258 0.090 1.168 -9180 51360 0.000862889 79.20 60540 0.079 822.8206 0.02194 0.002387519 1168 4.472543 733.039 1.629 0.131 1.498 1.189 0.090 1.099 -7020 287580 0.000745321 79.40 294600 0.079 822.6892 0.10678 0.002062221 1099 19.97921 733.039 1.510 0.131 1.379 1.111 0.090 1.021 -4860 356640 0.000608715 79.50 361500 0.079 822.6235 0.131039 0.001684247 1021 21.55245 733.039 1.418 0.131 1.287 1.041 0.090 0.951 -3300 374100 0.000487306 79.80 377400 0.079 822.4264 0.136835 0.001348322 951 19.33852 733.039 1.324 0.131 1.193 0.976 0.090 0.886 -2100 395880 0.000360386 80.00 397980 0.079 822.295 0.14432 0.000997148 886 16.18808 733.039 1.261 0.131 1.130 0.929 0.090 0.839 -1320 404880 0.00028223 80.50 406200 0.079 821.9665 0.147359 0.000780899 839 13.6641 733.039 1.176 0.131 1.045 0.865 0.090 0.775 -600 416160 0.000152805 81.40 416760 0.079 821.3752 0.151299 0.000422795 775 8.217163 733.039 1.092 0.131 0.961 0.802 0.090 0.712 -240 430620 0.000041249 82.30 430860 0.079 820.7839 0.156531 0.000114131 712 2.496144 733.039 1.092 0.131 0.961 0.768 0.090 0.678 -120 437820 0 83.40 437940 0.079 820.0612 0.159243 0 678 0
  • 99.
    Appendix D XVI Testingof concentric casing Design analysis of a centrifugal disc pump for automotive applications !5!. Casing Standard Pressure v Flowrate 0 50000 100000 150000 200000 250000 300000 350000 400000 450000 500000 0 0.0002 0.0004 0.0006 0.0008 0.001 0.0012 0.0014 0.0016 0.0018 0.002 Flowrate m^3/s PressureN/m^2 0 5 10 15 20 25 30 Efficiency% 3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency Casing Standard 80 Deg C Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.001 0.002 0.003 0.004 0.005 0.006 Q/(ND^3) deltaP/(pN^2D^2) 3000RPM 5000RPM 7000RPM
  • 100.
    Appendix D XVII Testingof concentric casing Design analysis of a centrifugal disc pump for automotive applications "5"/. Casing Stage 1 3.375mm 0.4mm Performance Flow Sweeps SI Units Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 3000 0.578 0.182 0.09 -0.68 -0.041 3.42 3.50 0.210 32.53 82.60 314.159 0.578 0.182 -4080 21000 0.000543251 82.60 3000 0.538 0.170 0.30 -0.47 -0.028 6.65 6.73 0.404 25.71 82.10 314.159 0.538 0.170 -2820 40380 0.000429357 82.10 3000 0.499 0.159 0.46 -0.31 -0.019 8.67 8.75 0.525 19.65 81.80 314.159 0.499 0.159 -1860 52500 0.000328155 81.80 3000 0.473 0.149 0.54 -0.23 -0.014 9.72 9.80 0.588 15.02 81.50 314.159 0.473 0.149 -1380 58800 0.000250834 81.50 3000 0.445 0.141 0.61 -0.16 -0.010 10.62 10.70 0.642 10.45 81.40 314.159 0.445 0.141 -960 64200 0.000174515 81.40 3000 0.442 0.133 0.65 -0.12 -0.007 11.45 11.53 0.692 5.74 81.40 314.159 0.442 0.133 -720 69180 0.000095858 81.40 3000 0.401 0.127 0.71 -0.06 -0.004 12.64 12.72 0.763 0.00 81.40 314.159 0.401 0.127 -360 76320 0 81.40 Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 5000 1.287 0.674 -1.20 -1.97 -0.118 9.13 9.21 0.553 61.50 80.20 523.599 1.287 0.674 -11820 55260 0.00102705 80.20 5000 1.214 0.634 -0.82 -1.59 -0.095 13.88 13.96 0.838 54.94 80.20 523.599 1.214 0.634 -9540 83760 0.000917498 80.20 5000 1.166 0.611 -0.53 -1.30 -0.078 18.02 18.10 1.086 49.24 80.20 523.599 1.166 0.611 -7800 108600 0.000822308 80.20 5000 1.102 0.577 -0.26 -1.03 -0.062 21.68 21.76 1.306 42.97 80.20 523.599 1.102 0.577 -6180 130560 0.000717599 80.20 5000 1.032 0.543 -0.01 -0.78 -0.047 24.99 25.07 1.504 36.06 80.20 523.599 1.032 0.543 -4680 150420 0.000602202 80.20 5000 0.975 0.513 0.19 -0.58 -0.035 26.98 27.06 1.624 30.33 80.20 523.599 0.975 0.513 -3480 162360 0.000506511 80.20 5000 0.923 0.487 0.36 -0.41 -0.025 28.27 28.35 1.701 24.96 80.20 523.599 0.923 0.487 -2460 170100 0.000416832 80.20 5000 0.855 0.451 0.53 -0.24 -0.014 29.97 30.05 1.803 17.61 80.30 523.599 0.855 0.451 -1440 180300 0.000294087 80.30 5000 0.791 0.417 0.63 -0.14 -0.008 31.86 31.94 1.916 10.03 80.40 523.599 0.791 0.417 -840 191640 0.000167501 80.40 5000 0.751 0.395 0.70 -0.07 -0.004 33.26 33.34 2.000 4.97 80.50 523.599 0.751 0.395 -420 200040 0.000082999 80.50 5000 0.734 0.388 0.74 -0.03 -0.002 34.95 35.03 2.102 0.00 80.60 523.599 0.734 0.388 -180 210180 0 80.60 Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 7000 2.400 1.766 -2.87 -3.64 -0.218 16.99 17.07 1.024 84.60 79.40 733.039 2.400 1.766 -21840 102420 0.00141282 79.40 7000 2.082 1.537 -2.44 -3.21 -0.193 32.07 32.15 1.929 78.75 79.90 733.039 2.082 1.537 -19260 192900 0.001315125 79.90 7000 1.968 1.449 -1.85 -2.62 -0.157 39.06 39.14 2.348 70.21 80.10 733.039 1.968 1.449 -15720 234840 0.001172507 80.10 7000 1.859 1.376 -1.31 -2.08 -0.125 45.94 46.02 2.761 62.34 80.50 733.039 1.859 1.376 -12480 276120 0.001041078 80.50 7000 1.740 1.308 -0.90 -1.67 -0.100 60.04 60.12 3.607 55.55 80.70 733.039 1.740 1.308 -10020 360720 0.000927685 80.70 7000 1.619 1.202 -0.34 -1.11 -0.067 61.39 61.47 3.688 43.68 80.90 733.039 1.619 1.202 -6660 368820 0.000729456 80.90 7000 1.516 1.127 0.00 -0.77 -0.046 61.60 61.68 3.701 35.70 81.10 733.039 1.516 1.127 -4620 370080 0.00059619 81.10 7000 1.408 1.048 0.28 -0.49 -0.029 62.60 62.68 3.761 26.70 81.40 733.039 1.408 1.048 -2940 376080 0.00044589 81.40 7000 1.272 0.949 0.54 -0.23 -0.014 63.90 63.98 3.839 15.44 82.10 733.039 1.272 0.949 -1380 383880 0.000257848 82.10 7000 1.197 0.893 0.64 -0.13 -0.008 66.55 66.63 3.998 7.51 83.40 733.039 1.197 0.893 -780 399780 0.000125417 83.40 7000 1.102 0.818 0.71 -0.06 -0.004 69.58 69.66 4.180 0.00 83.50 733.039 1.102 0.818 -360 417960 0 83.50 0.4mm Corrected Values Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % 314.159 0.578 0.125 0.453 0.182 0.039 0.143 -4080 21000 0.000543251 82.60 25080 0.079 820.5868 0.049619 0.00350727 143 9.527786769 314.159 0.538 0.125 0.413 0.170 0.039 0.131 -2820 40380 0.000429357 82.10 43200 0.079 820.9153 0.085434 0.002771962 131 14.1589484 314.159 0.499 0.125 0.374 0.159 0.039 0.120 -1860 52500 0.000328155 81.80 54360 0.079 821.1124 0.107479 0.002118594 120 14.8654215 314.159 0.473 0.125 0.348 0.149 0.039 0.110 -1380 58800 0.000250834 81.50 60180 0.079 821.3095 0.118957 0.001619403 110 13.72290011 314.159 0.445 0.125 0.320 0.141 0.039 0.102 -960 64200 0.000174515 81.40 65160 0.079 821.3752 0.128791 0.001126682 102 11.14842882 314.159 0.442 0.125 0.317 0.133 0.039 0.094 -720 69180 0.000095858 81.40 69900 0.079 821.3752 0.13816 0.000618867 94 7.128164043 314.159 0.401 0.125 0.276 0.127 0.039 0.088 -360 76320 0 81.40 76680 0.079 821.3752 0.151561 0 88 0 Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % 523.599 1.287 0.131 1.156 0.674 0.069 0.605 -11820 55260 0.00102705 80.20 67080 0.079 822.1636 0.047685 0.003978428 605 11.38752298 523.599 1.214 0.131 1.083 0.634 0.069 0.565 -9540 83760 0.000917498 80.20 93300 0.079 822.1636 0.066324 0.003554062 565 15.15089618 523.599 1.166 0.131 1.035 0.611 0.069 0.542 -7800 108600 0.000822308 80.20 116400 0.079 822.1636 0.082745 0.00318533 542 17.65989875 523.599 1.102 0.131 0.971 0.577 0.069 0.508 -6180 130560 0.000717599 80.20 136740 0.079 822.1636 0.097204 0.002779724 508 19.31584395 523.599 1.032 0.131 0.901 0.543 0.069 0.474 -4680 150420 0.000602202 80.20 155100 0.079 822.1636 0.110256 0.002332717 474 19.70496418 523.599 0.975 0.131 0.844 0.513 0.069 0.444 -3480 162360 0.000506511 80.20 165840 0.079 822.1636 0.117891 0.001962044 444 18.91887032 523.599 0.923 0.131 0.792 0.487 0.069 0.418 -2460 170100 0.000416832 80.20 172560 0.079 822.1636 0.122668 0.00161466 418 17.20778228 523.599 0.855 0.131 0.724 0.451 0.069 0.382 -1440 180300 0.000294087 80.30 181740 0.079 822.0979 0.129204 0.001139189 382 13.99145848 523.599 0.791 0.131 0.660 0.417 0.069 0.348 -840 191640 0.000167501 80.40 192480 0.079 822.0322 0.13685 0.00064884 348 9.264538069 523.599 0.751 0.131 0.620 0.395 0.069 0.326 -420 200040 0.000082999 80.50 200460 0.079 821.9665 0.142535 0.000321509 326 5.103674706 523.599 0.734 0.131 0.603 0.388 0.069 0.319 -180 210180 0 80.60 210360 0.079 821.9008 0.149586 0 319 0 Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % 733.039 2.400 0.131 2.269 1.766 0.090 1.676 -21840 102420 0.00141282 79.40 124260 0.079 822.6892 0.045039 0.003909117 1676 10.47476212 733.039 2.082 0.131 1.951 1.537 0.090 1.447 -19260 192900 0.001315125 79.90 212160 0.079 822.3607 0.07693 0.003638806 1447 19.28244091 733.039 1.968 0.131 1.837 1.449 0.090 1.359 -15720 234840 0.001172507 80.10 250560 0.079 822.2293 0.090868 0.003244198 1359 21.6176125 733.039 1.859 0.131 1.728 1.376 0.090 1.286 -12480 276120 0.001041078 80.50 288600 0.079 821.9665 0.104697 0.002880548 1286 23.36353894 733.039 1.740 0.131 1.609 1.308 0.090 1.218 -10020 360720 0.000927685 80.70 370740 0.079 821.8351 0.134517 0.002566802 1218 28.23726904 733.039 1.619 0.131 1.488 1.202 0.090 1.112 -6660 368820 0.000729456 80.90 375480 0.079 821.7037 0.136259 0.002018324 1112 24.63094774 733.039 1.516 0.131 1.385 1.127 0.090 1.037 -4620 370080 0.00059619 81.10 374700 0.079 821.5723 0.135997 0.001649592 1037 21.54217869 733.039 1.408 0.131 1.277 1.048 0.090 0.958 -2940 376080 0.00044589 81.40 379020 0.079 821.3752 0.137598 0.001233729 958 17.64104674 733.039 1.272 0.131 1.141 0.949 0.090 0.859 -1380 383880 0.000257848 82.10 385260 0.079 820.9153 0.139942 0.000713437 859 11.56443777 733.039 1.197 0.131 1.066 0.893 0.090 0.803 -780 399780 0.000125417 83.40 400560 0.079 820.0612 0.145651 0.000347015 803 6.256168558 733.039 1.102 0.131 0.971 0.818 0.090 0.728 -360 417960 0 83.50 418320 0.079 819.9955 0.152121 0 728 0
  • 101.
    Appendix D XVIII Testingof concentric casing Design analysis of a centrifugal disc pump for automotive applications "5"/. Casing Stage 1 Pressure v Flowrate 0 50000 100000 150000 200000 250000 300000 350000 400000 450000 500000 0 0.0002 0.0004 0.0006 0.0008 0.001 0.0012 0.0014 0.0016 0.0018 0.002 Flowrate m^3/s PressureN/m^2 0 5 10 15 20 25 30 Efficency% 3000RPM 5000RPM 7000RPM 3000RPM Efficency 5000RPM Efficiency 7000RPM Efficiency Casing Stage 1 80 Deg C Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.001 0.002 0.003 0.004 0.005 0.006 Q/(ND^3) deltaP/(pN^2D^2) 3000RPM 5000RPM 7000RPM
  • 102.
    Appendix D XIX Testingof concentric casing Design analysis of a centrifugal disc pump for automotive applications !#5. Casing Stage 2 4.5mm 0.4mm Performance Flow Sweeps SI Units Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 3000 0.637 0.199 -0.32 -1.09 -0.065 4.87 4.95 0.297 41.82 81.40 314.159 0.637 0.199 -6540 29700 0.000698394 81.40 3000 0.591 0.186 -0.11 -0.88 -0.053 6.73 6.81 0.409 36.49 81.00 314.159 0.591 0.186 -5280 40860 0.000609383 81.00 3000 0.548 0.172 0.05 -0.72 -0.043 8.21 8.29 0.497 31.02 81.20 314.159 0.548 0.172 -4320 49740 0.000518034 81.20 3000 0.509 0.161 0.22 -0.55 -0.033 9.44 9.52 0.571 24.85 81.30 314.159 0.509 0.161 -3300 57120 0.000414995 81.30 3000 0.466 0.147 0.38 -0.39 -0.023 10.10 10.18 0.611 18.09 82.00 314.159 0.466 0.147 -2340 61080 0.000302103 82.00 3000 0.436 0.137 0.48 -0.29 -0.017 10.51 10.59 0.635 12.56 82.10 314.159 0.436 0.137 -1740 63540 0.000209752 82.10 3000 0.399 0.126 0.55 -0.22 -0.013 11.29 11.37 0.682 6.42 82.40 314.159 0.399 0.126 -1320 68220 0.000107214 82.40 3000 0.369 0.117 0.61 -0.16 -0.010 12.29 12.37 0.742 0.00 82.50 314.159 0.369 0.117 -960 74220 0 82.50 Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 5000 1.465 0.768 -2.27 -3.04 -0.182 13.12 13.20 0.792 74.63 78.40 523.599 1.465 0.768 -18240 79200 0.001246321 78.40 5000 1.377 0.724 -1.69 -2.46 -0.148 17.93 18.01 1.081 67.03 78.40 523.599 1.377 0.724 -14760 108060 0.001119401 78.40 5000 1.275 0.672 -1.24 -2.01 -0.121 22.29 22.37 1.342 60.50 78.60 523.599 1.275 0.672 -12060 134220 0.00101035 78.60 5000 1.185 0.626 -0.68 -1.45 -0.087 27.43 27.51 1.651 50.46 78.60 523.599 1.185 0.626 -8700 165060 0.000842682 78.60 5000 1.117 0.591 -0.36 -1.13 -0.068 28.78 28.86 1.732 42.81 78.50 523.599 1.117 0.591 -6780 173160 0.000714927 78.50 5000 1.027 0.544 0.01 -0.76 -0.046 28.92 29.00 1.740 33.23 78.60 523.599 1.027 0.544 -4560 174000 0.000554941 78.60 5000 0.948 0.502 0.26 -0.51 -0.031 29.20 29.28 1.757 24.10 78.60 523.599 0.948 0.502 -3060 175680 0.00040247 78.60 5000 0.887 0.464 0.49 -0.28 -0.017 30.77 30.85 1.851 15.20 78.60 523.599 0.887 0.464 -1680 185100 0.00025384 78.60 5000 0.805 0.427 0.62 -0.15 -0.009 32.44 32.52 1.951 7.88 78.60 523.599 0.805 0.427 -900 195120 0.000131596 78.60 5000 0.730 0.387 0.68 -0.09 -0.005 34.26 34.34 2.060 0.00 78.60 523.599 0.730 0.387 -540 206040 0 78.60 Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 7000 2.054 1.494 -3.02 -3.79 -0.227 16.24 16.32 0.979 90.21 81.40 733.039 2.054 1.494 -22740 97920 0.001506507 81.40 7000 2.003 1.460 -2.82 -3.59 -0.215 17.79 17.87 1.072 82.43 81.50 733.039 2.003 1.460 -21540 107220 0.001376581 81.50 7000 1.928 1.404 -2.00 -2.77 -0.166 36.50 36.58 2.195 73.25 82.10 733.039 1.928 1.404 -16620 219480 0.001223275 82.10 7000 1.834 1.335 -1.36 -2.13 -0.128 41.17 41.25 2.475 62.50 82.20 733.039 1.834 1.335 -12780 247500 0.00104375 82.20 7000 1.716 1.256 -0.87 -1.64 -0.098 49.40 49.48 2.969 56.89 82.30 733.039 1.716 1.256 -9840 296880 0.000950063 82.30 7000 1.668 1.217 -0.51 -1.28 -0.077 53.01 53.09 3.185 46.90 82.60 733.039 1.668 1.217 -7680 318540 0.00078323 82.60 7000 1.528 1.122 -0.05 -0.82 -0.049 54.55 54.63 3.278 36.87 82.80 733.039 1.528 1.122 -4920 327780 0.000615729 82.80 7000 1.365 1.002 0.32 -0.45 -0.027 57.94 58.02 3.481 23.84 83.20 733.039 1.365 1.002 -2700 348120 0.000398128 83.20 7000 1.233 0.907 0.55 -0.22 -0.013 60.93 61.01 3.661 12.73 84.10 733.039 1.233 0.907 -1320 366060 0.000212591 84.10 7000 1.074 0.791 0.67 -0.10 -0.006 65.93 66.01 3.961 0.00 84.00 733.039 1.074 0.791 -600 396060 0 84.00 0.4mm Corrected Values Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % 314.159 0.637 0.125 0.512 0.199 0.039 0.160 -6540 29700 0.000698394 81.40 36240 0.079 821.3752 0.07163 0.004508885 160 15.81862 314.159 0.591 0.125 0.466 0.186 0.039 0.147 -5280 40860 0.000609383 81.00 46140 0.079 821.638 0.091168 0.003934223 147 19.12716 314.159 0.548 0.125 0.423 0.172 0.039 0.133 -4320 49740 0.000518034 81.20 54060 0.079 821.5066 0.106834 0.003344467 133 21.05633 314.159 0.509 0.125 0.384 0.161 0.039 0.122 -3300 57120 0.000414995 81.30 60420 0.079 821.4409 0.119413 0.002679239 122 20.55246 314.159 0.466 0.125 0.341 0.147 0.039 0.108 -2340 61080 0.000302103 82.00 63420 0.079 820.981 0.125412 0.0019504 108 17.74016 314.159 0.436 0.125 0.311 0.137 0.039 0.098 -1740 63540 0.000209752 82.10 65280 0.079 820.9153 0.1291 0.001354175 98 13.97205 314.159 0.399 0.125 0.274 0.126 0.039 0.087 -1320 68220 0.000107214 82.40 69540 0.079 820.7182 0.137558 0.000692182 87 8.569726 314.159 0.369 0.125 0.244 0.117 0.039 0.078 -960 74220 0 82.50 75180 0.079 820.6525 0.148727 0 78 0 Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % 523.599 1.465 0.131 1.334 0.768 0.069 0.699 -18240 79200 0.001246321 78.40 97440 0.079 823.3462 0.069168 0.004827806 699 17.37361 523.599 1.377 0.131 1.246 0.724 0.069 0.655 -14760 108060 0.001119401 78.40 122820 0.079 823.3462 0.087184 0.004336163 655 20.99005 523.599 1.275 0.131 1.144 0.672 0.069 0.603 -12060 134220 0.00101035 78.60 146280 0.079 823.2148 0.103853 0.003913738 603 24.50978 523.599 1.185 0.131 1.054 0.626 0.069 0.557 -8700 165060 0.000842682 78.60 173760 0.079 823.2148 0.123363 0.003264252 557 26.28805 523.599 1.117 0.131 0.986 0.591 0.069 0.522 -6780 173160 0.000714927 78.50 179940 0.079 823.2805 0.12774 0.002769374 522 24.64444 523.599 1.027 0.131 0.896 0.544 0.069 0.475 -4560 174000 0.000554941 78.60 178560 0.079 823.2148 0.126771 0.002149645 475 20.86111 523.599 0.948 0.131 0.817 0.502 0.069 0.433 -3060 175680 0.00040247 78.60 178740 0.079 823.2148 0.126899 0.001559026 433 16.61374 523.599 0.887 0.131 0.756 0.464 0.069 0.395 -1680 185100 0.00025384 78.60 186780 0.079 823.2148 0.132607 0.000983286 395 12.0031 523.599 0.805 1.131 -0.326 0.427 0.069 0.358 -900 195120 0.000131596 78.60 196020 0.079 823.2148 0.139167 0.000509756 358 7.205432 523.599 0.730 0.131 0.599 0.387 0.069 0.318 -540 206040 0 78.60 206580 0.079 823.2148 0.146664 0 318 0 Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % 733.039 2.054 0.131 1.923 1.494 0.090 1.404 -22740 97920 0.001506507 81.40 120660 0.079 821.3752 0.043804 0.004168339 1404 12.94695 733.039 2.003 0.131 1.872 1.460 0.090 1.370 -21540 107220 0.001376581 81.50 128760 0.079 821.3095 0.046748 0.003808848 1370 12.93785 733.039 1.928 0.131 1.797 1.404 0.090 1.314 -16620 219480 0.001223275 82.10 236100 0.079 820.9153 0.085761 0.003384667 1314 21.97985 733.039 1.834 0.131 1.703 1.335 0.090 1.245 -12780 247500 0.00104375 82.20 260280 0.079 820.8496 0.094552 0.002887941 1245 21.82066 733.039 1.716 0.131 1.585 1.256 0.090 1.166 -9840 296880 0.000950063 82.30 306720 0.079 820.7839 0.111431 0.00262872 1166 24.99171 733.039 1.668 0.131 1.537 1.217 0.090 1.127 -7680 318540 0.00078323 82.60 326220 0.079 820.5868 0.118544 0.002167111 1127 22.67128 733.039 1.528 0.131 1.397 1.122 0.090 1.032 -4920 327780 0.000615729 82.80 332700 0.079 820.4554 0.120918 0.001703654 1032 19.8501 733.039 1.365 0.131 1.234 1.002 0.090 0.912 -2700 348120 0.000398128 83.20 350820 0.079 820.1926 0.127544 0.001101576 912 15.31483 733.039 1.233 0.131 1.102 0.907 0.090 0.817 -1320 366060 0.000212591 84.10 367380 0.079 819.6013 0.133661 0.000588216 817 9.559569 733.039 1.074 0.131 0.943 0.791 0.090 0.701 -600 396060 0 84.00 396660 0.079 819.667 0.144302 0 701 0
  • 103.
    Appendix D XX Testingof concentric casing Design analysis of a centrifugal disc pump for automotive applications !#5. Casing Stage 2 Pressure v Flowrate 0 50000 100000 150000 200000 250000 300000 350000 400000 450000 500000 0 0.0002 0.0004 0.0006 0.0008 0.001 0.0012 0.0014 0.0016 0.0018 0.002 Flowrate m^3/s PressureN/m^2 0 5 10 15 20 25 30 Efficiency% 3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency Casing Stage 2 80 Deg C Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.001 0.002 0.003 0.004 0.005 0.006 Q/(ND^3) deltaP/(pN^2D^2) 3000RPM 5000RPM 7000RPM
  • 104.
    Appendix D XXI Testingof concentric casing Design analysis of a centrifugal disc pump for automotive applications "+5/. Casing Stage 3 6.75mm 0.4mm Performance Flow Sweeps SI Units Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 3000 0.610 0.191 -0.38 -1.15 -0.069 5.09 5.17 0.310 49.62 80.60 314.159 0.610 0.191 -6900 31020 0.000828654 80.60 3000 0.533 0.167 0.00 -0.77 -0.046 6.42 6.50 0.390 33.42 80.50 314.159 0.533 0.167 -4620 39000 0.000558114 80.50 3000 0.497 0.157 0.13 -0.64 -0.038 7.41 7.49 0.449 28.02 80.50 314.159 0.497 0.157 -3840 44940 0.000467934 80.50 3000 0.459 0.145 0.30 -0.47 -0.028 8.75 8.83 0.530 22.70 80.50 314.159 0.459 0.145 -2820 52980 0.00037909 80.50 3000 0.416 0.133 0.45 -0.32 -0.019 10.06 10.14 0.608 15.87 80.40 314.159 0.416 0.133 -1920 60840 0.000265029 80.40 3000 0.365 0.116 0.57 -0.20 -0.012 11.34 11.42 0.685 6.59 80.40 314.159 0.365 0.116 -1200 68520 0.000110053 80.40 3000 0.344 0.109 0.62 -0.15 -0.009 12.31 12.39 0.743 0.00 80.50 314.159 0.344 0.109 -900 74340 0 80.50 Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 5000 1.372 0.717 -2.07 -2.84 -0.170 11.86 11.94 0.716 72.41 82.10 523.599 1.372 0.717 -17040 71640 0.001209247 82.10 5000 1.277 0.667 -1.57 -2.34 -0.140 13.84 13.92 0.835 65.02 82.30 523.599 1.277 0.667 -14040 83520 0.001085834 82.30 5000 1.170 0.612 -1.08 -1.85 -0.111 15.65 15.73 0.944 56.04 82.40 523.599 1.170 0.612 -11100 94380 0.000935868 82.40 5000 1.073 0.567 -0.68 -1.45 -0.087 19.44 19.52 1.171 50.82 82.50 523.599 1.073 0.567 -8700 117120 0.000848694 82.50 5000 0.992 0.524 -0.35 -1.12 -0.067 24.32 24.40 1.464 40.98 82.60 523.599 0.992 0.524 -6720 146400 0.000684366 82.60 5000 0.882 0.466 0.06 -0.71 -0.043 27.15 27.23 1.634 29.89 82.70 523.599 0.882 0.466 -4260 163380 0.000499163 82.70 5000 0.794 0.422 0.33 -0.44 -0.026 29.35 29.43 1.766 19.64 83.10 523.599 0.794 0.422 -2640 176580 0.000327988 83.10 5000 0.714 0.378 0.50 -0.27 -0.016 31.66 31.74 1.904 9.39 84.20 523.599 0.714 0.378 -1620 190440 0.000156813 84.20 5000 0.651 0.345 0.58 -0.19 -0.011 34.02 34.10 2.046 0.00 84.30 523.599 0.651 0.345 -1140 204600 0 84.30 Speed Torque Power Pressure In Pressue In Pressure In Pressure Out Pressure Out Pressure Out Flowrate Fluid Temp Speed Torque Power Pressure In Pressure Out Flowrate Fluid Temp RPM Nm kW mV Corrected Bar mV Corrected Bar L/min deg C Rad/s Nm kW N/m^2 N/m^2 m^3/s deg C 7000 1.923 1.403 -2.42 -3.19 -0.191 14.51 14.59 0.875 90.52 84.20 733.039 1.923 1.403 -19140 87540 0.001511684 84.20 7000 1.914 1.396 -2.22 -2.99 -0.179 16.80 16.88 1.013 84.90 84.30 733.039 1.914 1.396 -17940 101280 0.00141783 84.30 7000 1.882 1.381 -2.04 -2.81 -0.169 26.38 26.46 1.588 70.84 84.40 733.039 1.882 1.381 -16860 158760 0.001183028 84.40 7000 1.763 1.285 -1.33 -2.10 -0.126 33.92 34.00 2.040 60.98 85.10 733.039 1.763 1.285 -12600 204000 0.001018366 85.10 7000 1.663 1.219 -0.89 -1.66 -0.100 45.36 45.44 2.726 55.08 85.20 733.039 1.663 1.219 -9960 272640 0.000919836 85.20 7000 1.526 1.121 -0.30 -1.07 -0.064 51.10 51.18 3.071 40.92 85.30 733.039 1.526 1.121 -6420 307080 0.000683364 85.30 7000 1.323 0.972 0.23 -0.54 -0.032 56.54 56.62 3.397 24.98 85.20 733.039 1.323 0.972 -3240 339720 0.000417166 85.20 7000 1.158 0.856 0.48 -0.29 -0.017 61.24 61.32 3.679 11.62 85.70 733.039 1.158 0.856 -1740 367920 0.000194054 85.70 7000 1.020 0.753 0.59 -0.18 -0.011 65.61 65.69 3.941 0.00 85.80 733.039 1.020 0.753 -1080 394140 0 85.80 0.4mm Corrected Values Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % 314.159 0.610 0.125 0.485 0.191 0.039 0.152 -6900 31020 0.000828654 80.60 37920 0.079 821.9008 0.074902 0.005349854 152 20.67274 314.159 0.533 0.125 0.408 0.167 0.039 0.128 -4620 39000 0.000558114 80.50 43620 0.079 821.9665 0.086154 0.003603227 128 19.01948 314.159 0.497 0.125 0.372 0.157 0.039 0.118 -3840 44940 0.000467934 80.50 48780 0.079 821.9665 0.096346 0.003021018 118 19.34392 314.159 0.459 0.125 0.334 0.145 0.039 0.106 -2820 52980 0.00037909 80.50 55800 0.079 821.9665 0.110211 0.002447434 106 19.95587 314.159 0.416 0.125 0.291 0.133 0.039 0.094 -1920 60840 0.000265029 80.40 62760 0.079 822.0322 0.123948 0.001711047 94 17.69491 314.159 0.365 0.125 0.240 0.116 0.039 0.077 -1200 68520 0.000110053 80.40 69720 0.079 822.0322 0.137694 0.000710511 77 9.964799 314.159 0.344 0.125 0.219 0.109 0.039 0.070 -900 74340 0 80.50 75240 0.079 821.9665 0.148607 0 70 0 Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % 523.599 1.372 0.131 1.241 0.717 0.069 0.648 -17040 71640 0.001209247 82.10 88680 0.079 820.9153 0.063136 0.004684195 648 16.54877 523.599 1.277 0.131 1.146 0.667 0.069 0.598 -14040 83520 0.001085834 82.30 97560 0.079 820.7839 0.069469 0.004206136 598 17.71471 523.599 1.170 0.131 1.039 0.612 0.069 0.543 -11100 94380 0.000935868 82.40 105480 0.079 820.7182 0.075115 0.003625221 543 18.17962 523.599 1.073 0.131 0.942 0.567 0.069 0.498 -8700 117120 0.000848694 82.50 125820 0.079 820.6525 0.089606 0.00328754 498 21.44231 523.599 0.992 0.131 0.861 0.524 0.069 0.455 -6720 146400 0.000684366 82.60 153120 0.079 820.5868 0.109058 0.002650992 455 23.0308 523.599 0.882 0.131 0.751 0.466 0.069 0.397 -4260 163380 0.000499163 82.70 167640 0.079 820.5211 0.119409 0.001933581 397 21.07801 523.599 0.794 0.131 0.663 0.422 0.069 0.353 -2640 176580 0.000327988 83.10 179220 0.079 820.2583 0.127698 0.001270509 353 16.65213 523.599 0.714 0.131 0.583 0.378 0.069 0.309 -1620 190440 0.000156813 84.20 192060 0.079 819.5356 0.136967 0.000607438 309 9.746765 523.599 0.651 0.131 0.520 0.345 0.069 0.276 -1140 204600 0 84.30 205740 0.079 819.4699 0.146735 0 276 0 Speed Torque Torque Torque Power Power Power Pressure In Pressure Out Flowrate Fluid Temp Delta P Diameter D Density p Delta P Q Power Efficiency Rad/s Nm Nm Nm kW kW kW N/m^2 N/m^2 m^3/s deg C N/m^2 m kg/m^3 pN^2D^2 ND^3 Nm/s % 733.039 1.923 0.131 1.792 1.403 0.090 1.313 -19140 87540 0.001511684 84.20 106680 0.079 819.5356 0.038816 0.004182663 1313 12.28229 733.039 1.914 0.131 1.783 1.396 0.090 1.306 -17940 101280 0.00141783 84.30 119220 0.079 819.4699 0.043382 0.00392298 1306 12.94286 733.039 1.882 0.131 1.751 1.381 0.090 1.291 -16860 158760 0.001183028 84.40 175620 0.079 819.4042 0.06391 0.003273308 1291 16.09321 733.039 1.763 0.131 1.632 1.285 0.090 1.195 -12600 204000 0.001018366 85.10 216600 0.079 818.9443 0.078867 0.002817707 1195 18.45842 733.039 1.663 0.131 1.532 1.219 0.090 1.129 -9960 272640 0.000919836 85.20 282600 0.079 818.8786 0.102907 0.002545085 1129 23.02442 733.039 1.526 0.131 1.395 1.121 0.090 1.031 -6420 307080 0.000683364 85.30 313500 0.079 818.8129 0.114168 0.001890793 1031 20.7793 733.039 1.323 0.131 1.192 0.972 0.090 0.882 -3240 339720 0.000417166 85.20 342960 0.079 818.8786 0.124887 0.001154252 882 16.22123 733.039 1.158 0.131 1.027 0.856 0.090 0.766 -1740 367920 0.000194054 85.70 369660 0.079 818.5501 0.134663 0.000536926 766 9.364752 733.039 1.020 0.131 0.889 0.753 0.090 0.663 -1080 394140 0 85.80 395220 0.079 818.4844 0.143986 0 663 0
  • 105.
    Appendix D XXII Testingof concentric casing Design analysis of a centrifugal disc pump for automotive applications "+5/. Casing Stage 3 Pressure v Flowrate 0 50000 100000 150000 200000 250000 300000 350000 400000 450000 500000 0 0.0002 0.0004 0.0006 0.0008 0.001 0.0012 0.0014 0.0016 0.0018 0.002 Flowrate m^3/s PressureN/m^2 0 5 10 15 20 25 30 Efficiency% 3000RPM 5000RPM 7000RPM 3000RPM Efficiency 5000RPM Efficiency 7000RPM Efficiency Casing Stage 3 80 Deg C Dimensionless 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 0.001 0.002 0.003 0.004 0.005 0.006 Q/(ND^3) deltaP/(pN^2D^2) 3000RPM 5000RPM 7000RPM
  • 106.
    Appendix E XXIII Oilviscosity data Design analysis of a centrifugal disc pump for automotive applications %( 9 - 6 "6 - 10w30 Oil Viscosity v Temperature Chart 0 0.001 0.002 0.003 0.004 0.005 0.006 0.007 -30 -20 -10 0 10 20 30 40 50 60 70 80 90 100 110 120 Temperature Deg C KinematicViscositym^2/s 10w30 Oil Viscosity Cold Test Min Cold Test Max Hot Test Min Hot Test Max
  • 107.
    Appendix F XXIV Casingmodification drawings Design analysis of a centrifugal disc pump for automotive applications %:
  • 108.
    Appendix F XXV Casingmodification drawings Design analysis of a centrifugal disc pump for automotive applications
  • 109.
    Appendix G XXVI Designof volute casing Design analysis of a centrifugal disc pump for automotive applications %; -
  • 110.
    Appendix G XXVII Designof volute casing Design analysis of a centrifugal disc pump for automotive applications - Angle Degrees Area mm^2 Impeller Outer Radius Impeller Inner Radius Running Clearance Dist Above 22mm Impeller Volute Radius mm 360 69.00 39.5 11.43 40 3.14 43.14 350 67.08 39.5 11.43 40 3.05 43.05 340 65.17 39.5 11.43 40 2.96 42.96 330 63.25 39.5 11.43 40 2.88 42.88 320 61.33 39.5 11.43 40 2.79 42.79 310 59.42 39.5 11.43 40 2.70 42.70 300 57.50 39.5 11.43 40 2.61 42.61 290 55.58 39.5 11.43 40 2.53 42.53 280 53.67 39.5 11.43 40 2.44 42.44 270 51.75 39.5 11.43 40 2.35 42.35 260 49.83 39.5 11.43 40 2.27 42.27 250 47.92 39.5 11.43 40 2.18 42.18 240 46.00 39.5 11.43 40 2.09 42.09 230 44.08 39.5 11.43 40 2.00 42.00 220 42.17 39.5 11.43 40 1.92 41.92 210 40.25 39.5 11.43 40 1.83 41.83 200 38.33 39.5 11.43 40 1.74 41.74 190 36.42 39.5 11.43 40 1.66 41.66 180 34.50 39.5 11.43 40 1.57 41.57 170 32.58 39.5 11.43 40 1.48 41.48 160 30.67 39.5 11.43 40 1.39 41.39 150 28.75 39.5 11.43 40 1.31 41.31 140 26.83 39.5 11.43 40 1.22 41.22 130 24.92 39.5 11.43 40 1.13 41.13 120 23.00 39.5 11.43 40 1.05 41.05 110 21.08 39.5 11.43 40 0.96 40.96 100 19.17 39.5 11.43 40 0.87 40.87 90 17.25 39.5 11.43 40 0.78 40.78 80 15.33 39.5 11.43 40 0.70 40.70 70 13.42 39.5 11.43 40 0.61 40.61 60 11.50 39.5 11.43 40 0.52 40.52 50 9.58 39.5 11.43 40 0.44 40.44 40 7.67 39.5 11.43 40 0.35 40.35 30 5.75 39.5 11.43 40 0.26 40.26 20 3.83 39.5 11.43 40 0.17 40.17 10 1.92 39.5 11.43 40 0.09 40.09 0 0.00 39.5 11.43 40 0.00 40.00 Area v Angle for Volute Casing 0.00 10.00 20.00 30.00 40.00 50.00 60.00 70.00 80.00 0 50 100 150 200 250 300 350 400 Angle Degrees Areamm^2 Area Profile for Volute Casing
  • 111.
    Appendix G XXVIII Designof volute casing Design analysis of a centrifugal disc pump for automotive applications Volute Casing Design Radius v Angle 0 10 20 30 40 50 360 350 340 330 320 310 300 290 280 270 260 250 240 230 220 210 200 190180170160 150 140 130 120 110 100 90 80 70 60 50 40 30 20 10 0 Impeller Outer Diameter Running Clearance 0.5mm Radially Volute Profile Impeller Inner Diameter