1. Refran+B91:P122ce book
Handbook of Pneumatic conveying engineering (David Mills)
Chapter 6. Air Only Data
A particular reference value is that of the density of air at free air conditions:
For air R = 53-3 ft Ibf/lb 53.3 ft Ibf/lb
P0 = 14.7 lbf/in2
14.7 lbf/in2
and T0= 519 R 519 R
Density ρ = 0-0765 lb/ft3
0.0765 lb/ft3
Darcy's Equation will appear as follows:
comercial steel and wrough iron pipe surface roughness = .002in
Surface Roughness - ε = 0.002 in Table 6.1
dia of pipe d = 12 in 300 NB
ε /d equal to 0.00016667
Renold number
Figure 6.2 The influence of temperature on the viscosity of air.
Air 7200 nm3 = 4237 ft3
/min
density of air (ρ) @ 21 psi 0.2 Ib/ft3
fig 6.1
Velocity of air ( C ) 4237 ft/min
Dia of pipe ( d) 12 in
viscocity of air ( µ) 0.045 Ib/fth
Mass of air (ma) 324.1305 Ib p 0= 14.7
Re = (5 * ρ * C * d ) / µ 1129866.67 p = 21
1.13E+06 Pab 35.7
R 53.3
Friction factor from chart (f) = 0.003 T 519
Lengthof pipe 10 ρ 0.185839
gc = gravitational constant 32.2 ftlb/lbfs2
ma 324.1305 Ib
Δ P g = 0.01290557 d12 12 in
Maximum pressure drop air only. C = 2221.847 ft/min
d14
Ducon standard pressure gradient for 20: 1 material to air ratio. Δ P V 3.5 100 0.035
For vertical 3.5 psi per 100 ft Δ Ph 0.5 100 0.005
For horizontal .07 psi per 100 ft Ducon standard pressure gradient for ash 20:1
Verified with chapter 16 fig 16.8 unit : psi / 100ft V/H = 7 times
section
number
Pipe line
componen
t
Orientatio
n
Length in
ft( L)
f ρ d A Q C gc flρC2
21600 d
gc
∆P psi
commulati
ve
pressure
drop air
only
Pressure
gradient
material
flow
pressure
drop
commulati
ve
pressure
drop
material
only
Material l
pressure
drop
Commulat
ive total
pressure
drop
pressure
in kg/cm2
inlet
pressure
Volume of
gas
actual
volume
dia area
Velocity
m/sec
velocity in
ft/min
combined
pressure
drop
Total
commulati
ve
pressure
drop
1 pipe horizontal 10 0.003 0.185839 12 0.78 4237 2221.847 32.2 27522.36 8346240 0.003298 0.00 0.005 0.05 0.05 0.053298 0.05 0.00 1.50 7200 2884 0.3 0.0702 11.4 2246.672 0.0566 0.0566
2 Diverting valvehorizontal 10 0.003 0.185839 12 0.78 4237 2221.847 32.2 27522.36 8346240 0.003298 0.01 0.005 0.05 0.1 0.053298 0.11 0.01 1.49 7201 2889 0.3 0.0702 11.4 2250.362 0.0566 0.1132
3 pipe horizontal 10 0.003 0.185839 12 0.78 4237 2221.847 32.2 27522.36 8346240 0.003298 0.01 0.005 0.05 0.15 0.053298 0.16 0.01 1.49 7202 2894 0.3 0.0702 11.5 2254.063 0.0566 0.1698
4 branch Y horizontal 10 0.003 0.185839 12 0.78 4237 2221.847 32.2 27522.36 8346240 0.003298 0.01 0.005 0.05 0.2 0.053298 0.21 0.01 1.49 7203 2899 0.3 0.0702 11.5 2257.775 0.0566 0.2264
5 pipe horizontal 10 0.003 0.185839 12 0.78 4237 2221.847 32.2 27522.36 8346240 0.003298 0.02 0.005 0.05 0.25 0.053298 0.27 0.02 1.48 7204 2903 0.3 0.0702 11.5 2261.498 0.0566 0.2830
6 Bend vertical 10 0.003 0.185839 12 0.78 4237 2221.847 32.2 27522.36 8346240 0.003298 0.02 0.035 0.35 0.6 0.353298 0.62 0.04 1.46 7205 2933 0.3 0.0702 11.6 2284.681 0.3566 0.6396
7 pipe vertical 30 0.003 0.185839 12 0.78 4237 2221.847 32.2 82567.07 8346240 0.009893 0.03 0.035 1.05 1.65 1.059893 1.68 0.12 1.38 7206 3025 0.3 0.0702 12.0 2356.477 1.0698 1.7094
8 Bend horizontal 10 0.003 0.185839 12 0.78 4237 2221.847 32.2 27522.36 8346240 0.003298 0.03 0.005 0.05 1.7 0.053298 1.73 0.12 1.38 7207 3030 0.3 0.0702 12.0 2360.517 0.0566 1.7660
9 pipe horizontal 1081 0.003 0.185839 12 0.78 4237 2221.847 32.2 2975167 8346240 0.356468 0.39 0.005 5.405 7.105 5.761468 7.49 0.53 0.97 7208 3653 0.3 0.0702 14.5 2845.46 6.1179 7.8839
10 Bend horizontal 10 0.003 0.185839 12 0.78 4237 2221.847 32.2 27522.36 8346240 0.003298 0.39 0.005 0.05 7.155 0.053298 7.55 0.53 0.97 7209 3661 0.3 0.0702 14.5 2851.269 0.0566 7.9405
11 Pipe horizontal 682 0.003 0.185839 14 1.061667 4237 2221.847 32.2 1877025 9737280 0.192767 0.59 0.005 3.41 10.565 3.602767 11.15 0.78 0.72 7210 4201 0.35 0.09555 12.2 2404.308 3.7955 11.7360
12 Bend horizontal 10 0.003 0.185839 14 1.061667 4237 2221.847 32.2 27522.36 9737280 0.002826 0.59 0.005 0.05 10.615 0.052826 11.20 0.79 0.71 7211 4211 0.35 0.09555 12.2 2409.856 0.0557 11.7917
13 Pipe horizontal 460 0.003 0.185839 14 1.061667 4237 2221.847 32.2 1266028 9737280 0.130019 0.72 0.005 2.3 12.915 2.430019 13.63 0.96 0.54 7212 4678 0.35 0.09555 13.6 2677.276 2.5600 14.3517
14 Bend vertical 10 0.003 0.185839 14 1.061667 4237 2221.847 32.2 27522.36 9737280 0.002826 0.72 0.035 0.35 13.265 0.352826 13.99 0.98 0.52 7213 4755 0.35 0.09555 13.8 2721.435 0.3557 14.7074
15 pipe vertical 30 0.003 0.185839 14 1.061667 4237 2221.847 32.2 82567.07 9737280 0.008479 0.73 0.035 1.05 14.315 1.058479 15.04 1.06 0.44 7214 5002 0.35 0.09555 14.5 2862.23 1.0670 15.7743
16 Bend horizontal 10 0.003 0.185839 14 1.061667 4237 2221.847 32.2 27522.36 9737280 0.002826 0.73 0.005 0.05 14.365 0.052826 15.10 1.06 0.44 7215 5015 0.35 0.09555 14.6 2870.016 0.0557 15.8300
17 Pipe horizontal 30 0.003 0.185839 14 1.061667 4237 2221.847 32.2 82567.07 9737280 0.008479 0.74 0.005 0.15 14.515 0.158479 15.26 1.07 0.43 7216 5055 0.35 0.09555 14.7 2892.817 0.1670 15.9969
18 Bend vertical 10 0.003 0.185839 14 1.061667 4237 2221.847 32.2 27522.36 9737280 0.002826 0.74 0.035 0.35 14.865 0.352826 15.61 1.10 0.40 7217 5145 0.35 0.09555 15.0 2944.378 0.3557 16.3526
19 pipe vertical 66 0.003 0.185839 14 1.061667 4237 2221.847 32.2 181647.5 9737280 0.018655 0.76 0.035 2.31 17.175 2.328655 17.94 1.26 0.24 7218 5826 0.35 0.09555 16.9 3333.87 2.3473 18.6999
20 Bend horizontal 48 0.003 0.185839 14 1.061667 4237 2221.847 32.2 132107.3 9737280 0.013567 0.78 0.005 0.24 17.415 0.253567 18.19 1.28 0.22 7219 5912 0.35 0.09555 17.2 3383.004 0.2671 18.9670
21 Bend vertical D 10 0.003 0.185839 14 1.061667 4237 2221.847 32.2 27522.36 9737280 0.002826 0.78 0.035 0.35 17.765 0.352826 18.54 1.30 0.20 7220 6035 0.35 0.09555 17.5 3453.621 0.3557 19.3227
22 Valve 2557 0.77884 Total pressure drop = 19.32 20.10152 20.8804 neglecting other losses.
23 Target box
Power required ma 324.1305 Ib/min
Δp 19.32
Wa 1072.444 HP
accleration loos
10000 Ib
65
4 inch
12.48 sq in
0.086667 qft
32.05128 Ib/sec ft2
W 0.359195 psi1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
pressure 0.000.010.010.010.020.020.030.030.390.390.590.590.720.720.730.730.740.740.760.780.78
pipe Diverting valve pipe
branch Y pipe Bend pipe
Bend pipe Bend Pipe Bend
Pipe Bend pipe Bend Pipe
Bend pipe Bend Bend Valve
0
00.000.010.010.010.020.020.030.03
0.390.39
0.590.59
0.720.720.730.730.740.74
0.760.780.78
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
pressureinpsi
Axis Title
Air only pressure
pressure
pipe Diverting valve pipe branch Y pipe Bend pipe Bend pipe Bend Pipe Bend Pipe Bend
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
0.0000
5.0000
10.0000
15.0000
20.0000
25.0000
commulativepressuredrop
2. Bend pipe Bend Bend Valve Axis Title
pipe Diverting valve pipe branch Y pipe Bend pipe Bend pipe Bend Pipe Bend Pipe Bend
pipe Bend Pipe Bend pipe Bend Bend Valve Series1 0.05 0.11 0.16 0.22 0.28 0.63 1.70 1.76 7.88 7.94 11.7 11.7 14.3 14.7 15.7 15.8 15.9 16.3 18.6 18.9 19.3Axis Title
