Typical Slurry Pump Calculation 1. First the user must enter design criteria or physical properties on the “Input Criteria” tap. 2. The user must also enter the number of fittings in both the suction and the discharge side. 3. Then in the “CALCS” tab, the user must also enter design criteria only on the cell highlight 4. In the “CALCS” tab, the user will need to determine and enter various factors (pipe friction
nly values highlighted in blue need to be entered (NB: cells in blue font colour only).
If the fitting unique to your installation is not listed, just assign any fitting closest to yours in terms of h d in blue. factor, settling velocity factor, and slurry pump efficiency), in the cell shaded with dark blue fill by usin
ad loss. the charts provided in various tabs.
Symbol P1
101,500
Units N/m
2 Reference Pressure
P0
100,000
N/m
3 Reference Temperature
T0
5
4 Slurry Temperature
T
30
N/A pH
Water 7
7 Desired Flowrate
V
1060
8 Dry Solids Density
rs
6800
m /h 3 kg/m
9 Slurry Density
rsl
3200
kg/m
3
10 Density of water at ambient conditions
r1
994.7
kg/m
3
11 Denisity of water at Reference conditions
r0
1000
kg/m
3
12 Volumetric temperature expansion coefficient
b
0.000214 m /m
e CW
2.15E+09 81%
%
z L
30 41
m m
17 Discharge Pipe Fittings
LD,F
23.06
m
18 Suction Pipe Fittings
LD,S
1.47
m
19 20 21 22
N/A OD t ID
HDPE 315 17.5 280
N/A mm mm mm
23 Suction Pipe Length
LS
1.5
m
23 Suction Pipe Diameter
Ds
250
mm
N/A N/A N/A N/A
Steel 2 Knife Gate Conical
N/A N/A N/A N/A
CL
3.7
m
29 Sump Agitation
N/A
Yes
N/A
30 Slurry Particle size, d50
d50
0.02
mm
Item Criteria 1 Ambiet Pressure
5 Slurry Medium 6 Slurry pH Level
13 Bulk modulus fluid elasticity 14 Concentration of Solids, Cw 15 Static Head, z 16 Pipe length, L
24 25 26 27
Pipeline Material Pipeline Diameter (OD) Pipeline Thickness Discharge Pipeline Diameter (ID/NB)
Suction Pipe Material # Pipeline fittings in Suction line Types of pipe fittings Sump Design
28 Operating Liquid level above CL
Value
o
C
o
C
1015
2
1
N/A N/A 3
3
N/m
3o
C
2
78
mb
Enter number of pipe fittings ID/NB
# Fittings
# Fittings
Equiv Length
bar
90 Long
Suction
Discharge
Suction
Discharge
25
32
0
3
0.00
17.29
0.52
0.73
0
0
0.00
0.00
0.7
0.91
o
0
0
0.00
0.00
0.26
0.37
30 Short Elbow
o
0 0
3 0
0.00 0.00
5.76 0.00
0.17 0.82
0.24 1.13
Tee Rubber hose
0
0
0.00
0.00
1.77
2.38
0
0
0.00
0.00
0.3
0.4
Diaphram Valve full Open
0
0
0.00
0.00
2.56
3.29
Full Bore Valve Round way
0
0
0.00
0.00
Plug-lub Valve Rec way
0
0
0.00
0.00
0.37
0.49
Taylor Valve Ball type
2
0
1.47
0.00
o o
90 Short 45 Short
Equiv Length
ID/NB (mm) 40
50
65
80
90
100
115
125
150
0.85
1.07
1.28
1.55
1.83
2.13
2.41
2.71
3.35
1.1
1.4
1.65
2.07
2.44
2.77
3.05
3.66
4.27
0.43
0.54
0.64
0.78
0.92
1.07
1.21
1.36
1.68
0.28 1.31
0.36 1.68
0.43 1.98
0.52 2.47
0.61 2.9
0.71 3.35
0.80 3.66
0.90 4.27
1.12 4.88
2.74
3.35
4.27
5.18
5.79
6.71
7.32
8.23
10.06
0.49
0.55
0.7
0.85
1.01
1.16
1.28
1.43
1.55
3.44
3.66
4.6
4.88
7.62
13.11
18.29
1.19
1.43
1.52
1.92
2.19
3.05
3.11
0.58
0.73
0.85
1.04
1.77
2.13
0.3
0.37
0.2
1.22
1.4 0.23
1.58
200
250
300
350
400
450
500
4.27
5.18
6.1
7.01
8.23
9.14
10.36
5.49
6.71
7.92
9.45
10.67
12.19
13.11
2.14
2.59
3.05
3.51
4.12
4.57
5.18
1.42 6.4
1.73 7.92
2.03 9.75
2.34 10.97
2.74 12.8
3.05 14.02
3.45 15.85
13.11
17.07
20.12
23.16
26.52
30.48
33.53
2.41
2.99
3.35
4.27
4.88
5.49
6.1
19.81
21.34
28.96
28.96
7.92
10.67
15.85
2.74
3.47
4.08
4.88
5.49
6.22
7.32
0.82
0.61
0.76
0.91
1.04
1.16
1.25
Slurry Pump Calculations Symbol Units
DMS CM Pump 1 Normal Operating Temperature
o
T
C
Q [%] Q=0% Q [l/s] 0.00
Q=20% 26.37
Q=30% 39.55
Q=40% 52.73
Q=50% 65.91
30
V [m/s]
0.00
0.21
0.43
0.64
0.86
1.07
1.28
1.50
Value
Comments
Q=10% 13.18
Q=60% 79.10
Q=70% 92.28
2 Normal Operating Pressure
Hatm
mbar
1015
Vp [m/s]
0.00
0.41
0.81
1.22
1.63
2.04
2.44
2.85
3 Normal Operating Pressure
Hatm
m
10.58
Vi [m/s]
0.00
0.27
0.54
0.81
1.07
1.34
1.61
1.88
4 Vapour Pressure
Hvap
m
1.43
Hf [---] Lc [m] HL [m] Le [m] Li [m] Hm [m] Hw [m]
0.00
0.01
0.03
0.08
0.14
0.21
0.31
0.42
0.00
0.00
0.00
0.01
0.02
0.03
0.04
0.05
0.00
0.00
0.00
0.01
0.02
0.02
0.04
5 Specific Gravity of Solids
S
6 Average Particle Size
d50
7 Concentration of Solids by weight 8 Static Discharge Head 9 Suction Static Head 10 11 12 13 14 15 16
Length of Pipeline Discharge Pipe Fittings Weight of solids in Slurry Weight of volume of Water equal to solids volume Weight of water in slurry Total weight of equal volume of water Total weigh of slurry mixture
6.8 mm
0.02
Cw
%
81%
Zd
m
30
Zs
m
3.7
m m
41 23.06 1230 181 294 475 1524
L Equiv. Length
tons/h tons/h tons/h tons/h tons/h
17 Specific gravity of slurry mixture
Sm
18 Concentration of Solids by volume
Cv
19 Quantity of Slury
Q'
20 Quantity of Slury
Q
21 Pipeline size
d
3
26.30
26.31
26.36
26.43
26.54
26.67
26.83
27.02
42.42
42.44
42.51
42.63
42.80
43.01
43.28
43.59
Q [%] Q=80% Q [l/s] 105.46 V [m/s] 1.71
Q=90% 118.65 1.93
Q=100% 131.83 2.14
Q=110% 145.01 2.35
Q=120% 158.20 2.57
Q=130% 171.38 2.78
Q=140% 184.56 3.00
Q=150% 197.74 3.21
3.67
4.07
4.48
4.89
5.29
5.70
6.11
2.42
2.69
2.95
3.22
3.49
3.76
4.03
Hf [---]
0.55
0.69
0.85
1.03
1.23
1.44
1.68
1.92
Lc [m] HL [m]
0.07
0.08
0.10
0.13
0.15
0.18
0.21
0.24
0.06
0.08
0.10
0.12
0.14
0.17
0.19
Equals 733.95 m3/h with the safety factor of 55%
131.83
Equals 203.87 m3/h with the safety factor of 55%
mm
280
Desired pipe size
24 Settling Velocity
VL
m/s
25 Slurry Velocity
V
m/s
2.14
26 Total Equivalent length of a Discharge pipe 27 Darcay Friction Factor
LD f
m
64.06 0.016
Le [m] Li [m] Hm [m] Hw [m]
9.81 0.76
Particle size d 50 = 20 m m
1.88
0.19
0.23
0.28
0.34
0.39
0.46
0.53
0.1488
0.1837
0.2223
0.2646
0.3105
0.3601
0.4134
27.24
27.49
27.77
28.08
28.42
28.79
29.19
29.62
43.94
44.35
44.80
45.30
45.85
46.44
47.08
47.77
Velocity PIPE HEAD MP CURVE RECOMMENDED VEL. 3
Q [l/s]
Q [m /hr]
V [m/s]
H [m]
H [m]
25NB
1.4 m/s
4.07
0.00
0
0.00
42.42
44.5
40NB
1.6 m/s
Dpump
mm
203
30 Pump Nozzle Upstream Velocity
Vpump
m/s
31 Pump nozzle size - Pipe size ratio
D1/D2
As specified on the Pump
0.73
13.18
47
0.21
42.44
44.5
50NB
Le
m
0.10
26.37
95
0.43
42.51
44.5
80NB
1.9 m/s
hL
m
0.10
39.55
142
0.64
42.63
44.3
100NB
2.0 m/s
52.73
190
0.86
42.80
44.1
150NB
2.2 m/s
65.91
237
1.07
43.01
44.0
200NB
2.4 m/s
300NB
2.6 m/s
Ld
m
0.23
35 Pump Suction diameter
D suction
mm
250
36 Slurry Velocity at Suction
Hi
m/s
2.69
79.10
285
1.28
43.28
43.8
Li Ls Equiv. Length
m m m
0.18 2.00 1.47
92.28
332
1.50
43.59
43.5
105.46 118.65
380 427
1.71 1.93
43.94 44.35
42.9 42.6
40 Total Equivalent length of a Suction pipe
LS
m
3.47
131.83
475
2.14
44.80
42.5
41 Suction Pipeline Friction Head Loss
Hf,S
m
0.08
145.01
522
2.35
45.30
42.1
Hm ER*HR Hw
m
27.86 0.62
158.20 171.38
570 617
2.57 2.78
45.85 46.44
42.0 41.5
m
44.93
184.56
664
3.00
47.08
41.0
197.74
712
3.21
47.77
40.0
37 Loss of head at entrance to suction pipe 38 Suction Pipe Lenth 39 Suction pipe fittigs length
42 Total dynamic head on the pump 43 Slurry Pump Derating Efficiency ( = HR*ER) 44 Equivalent water total head dynamic 45 Pump Efficiency
em
46 Required Power
P
kW
300.51
47 Installed power
P
kW
400.00
48 Installed Pump Speed 49 Nett Positive Suction Head 49 Nett Positive Suction Head 49 Nett Positive Suction Head Difference
62.04%
n
r/min
703.94
NPSHa NPSHr
m m
3.43 3.32
NPSHa -NPSHr
m
0.11
As specified on the Pump
From Manufacturers Curve Calculated From Manufacturers Curve From Manufacturers Curve Calculated From Manufacturers Curve Installation Fine
Circulating Medium Pump (140-PCB-42) PUMP SELECTION GRAPH : (10/8 F/G AH Metal) IMPELLER SIZE : (686) MM SPEED : 703 (REV/MIN) RPM
49.00
48.00 47.00 46.00 ] m45.00 [ d44.00 a e H43.00
42.00
41.00 40.00 39.00 0.00
50.00
100.00
150.00
Q [l/s]
200.00
250.00
0.22
0.15 0.1176
FLOW
0.85
29 Pump Discharge Diameter
34 Loss at pipe discharge
0.11 0.090
2.15
g
2
0.08 0.066
3.26
FL
33 Loss in pipe contraction (hL = K*V2 /2g)
0.06 0.046
Vi [m/s]
23 Limiting Settling Velocity Factor
32 Loss in pipe enlargement (Ke*(V-V1)/2g)
0.04 0.029
Vp [m/s]
474.59
Hf,D
0.02 0.017
3.21
22 Gravitational Acceleration
28 Discharge Pipeline Friction Head Loss
0.01 0.007
38.1% l/s
m/s
0.00 0.002
Solid dry tons to be transfered
m /h
2
0.05
0.00 0.000
Intrapolation of Ke Factor 6
65
0.14 K
1.15 0.42
30 0.55 0.06608492
from the pump cure
Bulk Modulus - E
Imperial Units - BG 5
2
(10 psi, lb f /in ) Acetone Carbon Tetrachloride Ethyl Alcohol Gasoline Glycerin Mercury Paraffin Oil Petrol SAE 30 Oil Seawater Water Liquid Acetic acid Acetone Ethyl (ethanol) Methyl (methanol) Ammonia Aniline Benzene Bromine Carbon disulfide Carbon tetrachloride Chloroform Ether Ethyl acetate Ethylene glycol Freon refrigerant R-12 n-Heptane Isobutyl alcohol Gasoline Glycerine (glycerol) Kerosene Mercury Methyl alcohol Methyl iodide n-Octane Oil (unused engine oil) Olive oil
SI Units (10 Pa, N/m )
1.34 0.92 1.91 1.32 1.54 1.06 1.9 1.3 6.31 4.35 41.4 28.5 2.41 1.66 1.55 - 2.16 1.07 - 1.49 2.2 1.5 3.39 2.34 3.12 2.15 Volumetric Coefficient of Expansion, b 3 3 3 3o o (m /m K, m /m C) (1/ F) 0.0011 0.00143 0.00109 0.00118 0.00245 0.00085 0.00125 0.0011 0.00119 0.00122 0.00127 0.0016 0.00138 0.00057 0.0026 0.00124 0.00094 0.001 0.0005 0.001 0.00018 0.00119 0.0012 0.00114 0.0007 0.0007
0.00061 0.00079 0.00061 0.00066 0.00136 0.00047 0.00069 0.00061 0.00066 0.00068 0.00071 0.00089 0.00077 0.00032 0.00144 0.00069 0.00052 0.00056 0.00028 0.00056 0.0001 0.00066 0.00067 0.00063 0.00039
TEMP
5 10 15 20 25 30 35 40 45 50 60 70 80 90 100
Paraffin oil Petroleum n-Pentane Phenol Sulphuric acid Toluene Trichloroethylene Turpentine Water
0.000764 0.001 0.00158 0.0009 0.00055 0.00108 0.00117 0.001 0.000214
0.00042 0.00056 0.00088 0.0005 0.00031 0.0006 0.00065 0.00056 0.00012
VAPOUR PRESSURES [kPa]
LIQUID DENSITY @ 1bar
H2O
TEMP
SO2
H2SO4
0.87
-50
11.57
5 1000.0
1.23
-40
21.57
10 999.7
1.70
-30
38.05
15 999.2
2.34
-20
63.55
3.17
-10
101.4
25 997.1
4.24
0
155.4
30 995.7
5.62
10
230.2
35 994.0
7.38
20
330.5
40 992.3
9.58
30
416.9
45 990.2
12.34
40
841.7
50 988.0
19.92
50
0.001
TEMP
H2O
20 998.3
60 983.2
31.16
70 977.7
47.36
80 971.6
70.11
90 965.2
101.33
100 958.1
H2SO4
1840.0
Absolute Roughness - k -
Surface Copper, Lead, Brass, Aluminum (new)
10 (m)
(feet)
0.001 - 0.002
3.33 - 6.7 10
-6
PVC and Plastic Pipes
0.0015 - 0.007
0.5 - 2.33 10
-5
Epoxy, Vinyl Ester and Isophthalic pipe
0.005
1.7 10
Stainless steel
0.015
5 10
Steel commercial pipe
0.045 - 0.09
1.5 - 3 10
Stretched steel
0.015
5 10
Weld steel
0.045
1.5 10
Galvanized steel
0.15
5 10
Rusted steel (corrosion)
0.15 - 4
5 - 133 10
New cast iron
0.25 - 0.8
8 - 27 10
Worn cast iron
0.8 - 1.5
2.7 - 5 10
-3
Rusty cast iron
1.5 - 2.5
5 - 8.3 10
-3
Sheet or asphalted cast iron
0.01 - 0.015
3.33 - 5 10
Smoothed cement
0.3
1 10
Ordinary concrete
0.3 - 1
1 - 3.33 10
-3
Coarse concrete
0.3 - 5
1 - 16.7 10
-3
Well planed wood
0.18 - 0.9
6 - 30 10
Ordinary wood
5
16.7 10
-5
-5 -4
-5 -4
-4 -4
-4
-5
-3
-4
-3
