Complete Final Year Project Report.PDF

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
!" !##$

Summary ii
% !##& !##$'
$##'### ( !
# ##) &
(
* ' +
'
!) ,-.
& !- '! )
/ 0 )# &#
'
!!. # $
/ 0
!1. '
*
'
2
'

Acknowledgements iii
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

Acknowledgements iv
9 +9 '? ' &
@ 6 ;

Contents v
9
2
?
?
?
? *
?
) A )
) # ; )
) ) ; )
) ! &
) & 9 : -
! A
,
! # ,
! ) "
! ! * ))
! & )&
& A
)-
& # 3 )-
& ) )-
& ! )1
$ A !#
$ # !#

Contents vi
$ ) * !)
$ ! 3 !&
$ & !$
$ $ 2 !-
$ - 9 !1
$ B &#
- A &&
- # &&
- ) ' * &$
- ! 2 &$
- & 9 &B
- $ &,
- - ' $#
B A $!
B # $!
B ) ' * $-
B ! 2 $-
B & 9 $,
B $ $"
, A 9 -)
, # -)
, ) -&
, ! C --
1 A 9 ' -1
1 # 9 -1
1 ) B#
B!
= B$

Contents vii
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

Contents viii
& DDC
<A 9 DDC
DDC
DDC
9 DDC
DDC
C DDC

List of figures ix
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

List of figures x
Figure 7.25 A C -,

List of tables xi
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
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
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
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 5.50 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
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

Introduction xvi
)")# ' '
23
/ 0 / 0
!### 2 7 ' 9
? ' 9 = '3 7 : 2 '
2 7
!##) !##! !##&' 2
7 ' 8
5
& -. 1.
% !##& !##$ 8 8
* ' ' ' '
* )# &#
9
'
9
9
4

Chapter 1 1
Introduction to fluids
) # ;
; '
0
5
8 '
4 '
'
) ) ;
= '
/ 0
'
;
/ 0
/ 0
C / 0 / 0
/ 0
'
/ 0 ; ) )# / 0
/ 0

Chapter 1 2
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* ) )&

Chapter 1 3
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

Chapter 1 4
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

Chapter 1 5
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
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)
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
!
! #
3 '
*
*
'
'
'
'
* '
*
' / 0
'
/ 0
'
' ; ! ##
*
'
;
/ 0
'

Chapter 2 8
;
' '
* ; ! #)
' '
'
' '
'
*
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
! )
)")# ' '
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
>

Chapter 2 10
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]

Chapter 2 11
( )
( )
23
RE
2
RE 2
Density (kg/m ) Speed (rad/s) Separation h (m)
Reynolds Number N =
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 !
*
' *
<
! !#

Chapter 2 12
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

Chapter 2 13
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

Chapter 2 14
' 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
"
& # 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

Chapter 3 16
'
'
; & ))
&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
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
& !
'
!##&
; & !#
!##& "# 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
> 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
# $ %
$ #
'
' 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-
*

Chapter 4 21
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

Chapter 4 22
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
,- 1-
* E"F *
' ? 3 E)#F
&' ,T) E1F
E,F ,### 36
*
' E&F
' !'
$ ! 3
* ;
'
* ,T)
=
'
$ !# *
' '
' =
*
* *

Chapter 4 24
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
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
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%
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%
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%
Graph 4.45 – 2mm separation at elevated temperature (SI)
< $ $B < $ $, 2
) E2 A
F

Chapter 4 27
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%
Graph 4.46 – 1mm separation at room temperature (SI)
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
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
$ - 9
4
7*
$ -# 7* $ -) =
( ) ( )
2
2 23
V
( )
3
3
Flow rate Q (m /s)
< $ -! < $ -&
& !- 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
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
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)
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
Reynolds Number N =
Reynolds Number N =
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
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
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
. $
- #
4
E 7F
' )# &# 4
67 0 / - &'( %
.0[22] / 0 =
7* - ##' E 7F -
$ < - #)
/ 0 )# &#
J "## ( &
I !" )#+&
(
( )
( )
23
RE
2
RE 2
Reynolds Number N =
Reynolds Number N =
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
- ) '*
# $
*
$ *
!
/ 0
; / 0
' E( !
F
E &
(F E2 =A
F
- ! 2
5
' 7* - !# 7* - !) E( !
F
E &
(F
2 2 2
2 3
Efficiency % =
Power (Nm/s)
h
´V
< - !! < - !& 2 / 0
E2 =A
F

Chapter 5 35
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%
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%
Graph 5.23 – 0.4mm separation at elevated temperature (SI)
< - !! )# &#
, -.'
'
>
' ' ' < - !&'
- !$ # $
'

Chapter 5 36
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
- & 9
= $
$
7* - &# 7* - &)
E 7F
7* - &!
( ) ( )
2
2 23
V
( )
3
3
Flow rate Q (m /s)
X
RECollapsed Data = N Test Data´
Equation 5.32 – Dimensionless collapsed data formula
< - && < - &$ / 0
E2 =A
F

Chapter 5 37
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
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
'
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
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
3.25mm 2mm 1mm 0.4mm
Graph 5.41 – Elevated temperature separation performance at 3000RPM
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)
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)
/ 0
# $ ' # $
/ 0 ,### 36
< - $&
2 E 7F

Chapter 5 40
- 4 67
- - '
/ 0
' '
/ 0
)##
' E 7F
5
'
E F
'
2
'
5 ' -#(-#
'
( 9 (
/ 0
+$#
)$#

Chapter 5 41
7* - -# / 0
' =
E 7F - 4 67
7* - -#'
E F
( )
( )
23
RE
2
RE 2
Reynolds Number N =
Reynolds Number N =
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
+ $
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
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
Figure 6.05 – Concentric casing stage 1 3.375mm radial clearance
E2 ; A F

Chapter 6 45
B ) '*
* $
* !
&
% / 0
-'
# $ ,- 1-
B ! 2
5
' 7* B !# 7* B !) E( !
F
E &
(F
2 2 2
2 3
Efficiency % =
Power (Nm/s)
h
´V
< B !! 2 / 0 # $
)# &#
! !- < B !&'< B !$ <
B !- 2
E2 9 A
F

Chapter 6 46
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
0
5
10
15
20
25
30
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)
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%

Chapter 6 47
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
0
5
10
15
20
25
30
Efficiency%
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
B & 9
$ -
7* B &# B &)

Chapter 6 48
( ) ( )
2
2 23
V
( )
3
3
Flow rate Q (m /s)
< 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
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
3000RPM 5000RPM 7000RPM
(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
(Dimensionless)
& '
< B && < B &- ,### 36 '
'
B $
! !-
=
B, - !
B# ,- !

Chapter 6 50
' 4
,. # ###& &
(
!-'### ( !
# ##) &
( $##'### ( !
E F # !B
4
'

Chapter 7 51
Design of volute casing
/ -
, #
'
'
B E F # !B
'
Figure 7.00 – Concentric and volute casings [24]
=
5
'
* '

Chapter 7 52
< , #)
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
'
; '
'; , #&
Figure 7.03 – Double volute casing for centrifugal pump [27]
, )
'
'
< , )#
E F
'
E F
E2 <A 9 F

Chapter 7 54
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
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
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

Chapter 7 57
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

Chapter 8 58
Discussion, conclusions and recommendations
0 1
1 # 9
8 8
* ' ' ' '
* )# &#
9
'
9
9
4
$##'### ( !
# ##) &
( ,### 36'
; ')# &# '
'
# $
4 67
)# &#
+$##
)$##
'

Chapter 8 59
'
)# &#
9
'
'
E 7F
*
E 7F' '
5
'
* '
' '
( ' '
'
'
* *
E F

Chapter 8 60
'
' *
' 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 '
-

Chapter 8 61
'
'
9 ' !
; 9 E;9F
'
=
'

References 62
'
& 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#!-(#&'!##&

References 63
[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]
$+-

Bibliography 64
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 ' &-#+&-$

Bibliography 65
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

Bibliography 66
9 =
- '!##!
4 6Y '!##&'
= 2 =2-&)B 3 )'!'& + )""B
2
6
7
267 3 1 ! + )""#

Appendix A I
% "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
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
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
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
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
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
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
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
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
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
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
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
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
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
"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%
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
"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%
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
!
2mm 2mm SI Units
Performance No Back Pressure Room Temp Performance No Back Pressure Room Temp
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
!
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%
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
! 06
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%
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

Complete Final Year Project Report.PDF

Complete Final Year Project Report.PDF

Recommended

Recommended

More Related Content

What's hot

What's hot (20)

Viewers also liked

Viewers also liked (13)

Similar to Complete Final Year Project Report.PDF

Similar to Complete Final Year Project Report.PDF (20)

Complete Final Year Project Report.PDF