1.
2.
3.
4.
Typical Slurry Pump Calculation
First the user must enter design criteria or physical properties on the “Input Criteria” tap. Only values highlighte
The user must also enter the number of fittings in both the suction and the discharge side. If the fitting unique to
Then in the “CALCS” tab, the user must also enter design criteria only on the cell highlighted in blue.
In the “CALCS” tab, the user will need to determine and enter various factors (pipe friction factor, settling veloci
iteria” tap. Only values highlighted in blue need to be entered (NB: cells in blue font colour only).
charge side. If the fitting unique to your installation is not listed, just assign any fitting closest to yours in terms of head loss.
ell highlighted in blue.
pipe friction factor, settling velocity factor, and slurry pump efficiency), in the cell shaded with dark blue fill by using the charts provided i
n terms of head loss.
e fill by using the charts provided in various tabs.
Item Criteria
1 Ambiet Pressure
2 Reference Pressure
Symbol
P1
P0
Value
101,500
100,000
Units
N/m 2
N/m
o
C
o
C
2
3 Reference Temperature
T0
5
4 Slurry Temperature
T
30
N/A
pH
Water
7
N/A
N/A
7 Desired Flowrate
8 Dry Solids Density
V
rs
1060
6800
m 3 /h
kg/m 3
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
13
14
15
16
17
Bulk modulus fluid elasticity
Concentration of Solids, Cw
e
CW
18
19
20
21
22
23
Suction Pipe Fittings
Pipeline Material
Pipeline Diameter (OD)
Pipeline Thickness
Discharge Pipeline Diameter (ID/NB)
Suction Pipe Length
23
24
25
26
27
28
29
30
Suction Pipe Diameter
Suction Pipe Material
# Pipeline fittings in Suction line
Types of pipe fittings
Sump Design
Operating Liquid level above CL
Sump Agitation
Slurry Particle size, d50
5 Slurry Medium
6 Slurry pH Level
Static Head, z
Pipe length, L
Discharge Pipe Fittings
z
L
LD,F
LD,S
N/A
OD
t
ID
LS
Ds
N/A
N/A
N/A
N/A
CL
N/A
d50
1015
1
3
3o
0.000214 m /m C
2.15E+09
81%
30
41
23.06
N/m 2
%
m
m
m
1.47
HDPE
315
17.5
280
1.5
m
N/A
mm
mm
mm
m
250
Steel
2
Knife Gate
Conical
3.7
Yes
0.02
mm
N/A
N/A
N/A
N/A
m
N/A
mm
78
mb
bar
Enter number of pipe
fittings
# Fittings
ID/NB
Suction
o
90 Long
o
90 Short
# Fittings
Discharge
Equiv
Length
Suction
Equiv
Length
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
o
30 Short
Elbow
0
0
3
0
0.00
0.00
5.76
0.00
0.17
0.82
0.24
1.13
Tee
Rubber hose
Diaphram Valve full
Open
Full Bore Valve Round
way
Plug-lub Valve Rec
way
0
0
0
0
0.00
0.00
0.00
0.00
1.77
0.3
2.38
0.4
0
0
0.00
0.00
2.56
3.29
0
0
0.00
0.00
0
0
0.00
0.00
0.37
0.49
Taylor Valve Ball type
2
0
1.47
0.00
45 Short
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
0.49
3.35
0.55
4.27
0.7
5.18
0.85
5.79
1.01
6.71
1.16
7.32
1.28
8.23
1.43
10.06
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
2.41
17.07
2.99
20.12
3.35
23.16
4.27
26.52
4.88
30.48
5.49
33.53
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
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
Normal Operating Temperature
Normal Operating Pressure
Normal Operating Pressure
Vapour Pressure
Specific Gravity of Solids
Average Particle Size
Concentration of Solids by weight
Static Discharge Head
Suction Static Head
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
Specific gravity of slurry mixture
Concentration of Solids by volume
T
Hatm
Hatm
Hvap
S
d50
Cw
Zd
Zs
L
Equiv. Length
o
C
mbar
m
m
mm
%
m
m
m
m
tons/h
tons/h
tons/h
tons/h
tons/h
Sm
Cv
3
Value
30
1015
10.58
1.43
6.8
0.02
81%
30
3.7
41
23.06
1230
181
294
475
1524
3.21
38.1%
Q [%] Q=0%
Q [l/s]
0.00
Comments
Q=10%
13.18
Q=20%
26.37
Q=30%
39.55
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.000
26.30
42.42
0.21
0.41
0.27
0.01
0.00
0.00
0.00
0.002
26.31
42.44
0.43
0.81
0.54
0.03
0.00
0.00
0.01
0.007
26.36
42.51
Q [%] Q=80%
Q [l/s] 105.46
V [m/s]
1.71
Vp [m/s]
3.26
Vi [m/s]
2.15
Q=90%
118.65
1.93
3.67
2.42
Q=100%
131.83
2.14
4.07
2.69
V [m/s]
Vp [m/s]
Vi [m/s]
Hf [---]
Lc [m]
HL [m]
Le [m]
Li [m]
Hm [m]
Hw [m]
Q=40%
52.73
Q=50%
65.91
0.64
1.22
0.81
0.08
0.01
0.01
0.02
0.017
26.43
42.63
0.86
1.63
1.07
0.14
0.02
0.02
0.04
0.029
26.54
42.80
1.07
2.04
1.34
0.21
0.03
0.02
0.06
0.046
26.67
43.01
Q=110%
145.01
2.35
4.48
2.95
Q=120%
158.20
2.57
4.89
3.22
Q=130%
171.38
2.78
5.29
3.49
Q=60%
79.10
Q=70%
92.28
1.28
2.44
1.61
0.31
0.04
0.04
0.08
0.066
26.83
43.28
1.50
2.85
1.88
0.42
0.05
0.05
0.11
0.090
27.02
43.59
Q=140%
184.56
3.00
5.70
3.76
Q=150%
197.74
3.21
6.11
4.03
Solid dry tons to be transfered
19 Quantity of Slury
Q'
m /h
474.59
Equals 733.95 m3/h with the safety factor of 55%
Hf [---]
0.55
0.69
0.85
1.03
1.23
1.44
1.68
1.92
20 Quantity of Slury
21 Pipeline size
Q
d
l/s
mm
131.83
280
Equals 203.87 m3/h with the safety factor of 55%
Lc [m]
HL [m]
0.07
0.06
0.08
0.08
0.10
0.10
0.13
0.12
0.15
0.14
0.18
0.17
0.21
0.19
0.24
0.22
22
23
24
25
g
FL
VL
V
m/s 2
9.81
0.76
1.88
2.14
Le [m]
Li [m]
Hm [m]
Hw [m]
0.15
0.1176
27.24
43.94
0.19
0.1488
27.49
44.35
0.23
0.1837
27.77
44.80
0.28
0.2223
28.08
45.30
0.34
0.2646
28.42
45.85
0.39
0.3105
28.79
46.44
0.46
0.3601
29.19
47.08
0.53
0.4134
29.62
47.77
LD
f
Hf,D
m
64.06
0.016
0.85
29 Pump Discharge Diameter
Dpump
mm
203
Q [l/s]
Q [m3/hr]
V [m/s]
H [m]
H [m]
25NB
1.4 m/s
30 Pump Nozzle Upstream Velocity
31 Pump nozzle size - Pipe size ratio
32 Loss in pipe enlargement (Ke*(V-V1)/2g)
Vpump
D1/D2
Le
m/s
0.00
0
0.00
42.42
44.5
13.18
26.37
47
95
0.21
0.43
42.44
42.51
44.5
44.5
40NB
50NB
80NB
1.6 m/s
m
4.07
0.73
0.10
hL
Ld
m
m
mm
m/s
0.10
0.23
250
2.69
39.55
142
0.64
42.63
44.3
190
237
285
332
380
427
475
522
570
617
664
712
0.86
1.07
1.28
1.50
1.71
1.93
2.14
2.35
2.57
2.78
3.00
3.21
42.80
43.01
43.28
43.59
43.94
44.35
44.80
45.30
45.85
46.44
47.08
47.77
44.1
44.0
43.8
43.5
42.9
42.6
42.5
42.1
42.0
41.5
41.0
40.0
2.0 m/s
2.2 m/s
2.4 m/s
2.6 m/s
m
m
m
m
m
m
52.73
65.91
79.10
92.28
105.46
118.65
131.83
145.01
158.20
171.38
184.56
197.74
100NB
150NB
200NB
300NB
Gravitational Acceleration
Limiting Settling Velocity Factor
Settling Velocity
Slurry Velocity
26 Total Equivalent length of a Discharge pipe
27 Darcay Friction Factor
28 Discharge Pipeline Friction Head Loss
m/s
m/s
33
34
35
36
Loss in pipe contraction (hL = K*V22/2g)
Loss at pipe discharge
Pump Suction diameter
Slurry Velocity at Suction
37
38
39
40
41
42
43
44
Loss of head at entrance to suction pipe
Suction Pipe Lenth
Suction pipe fittigs length
Total Equivalent length of a Suction pipe
Suction Pipeline Friction Head Loss
Total dynamic head on the pump
Slurry Pump Derating Efficiency ( = HR*ER)
Equivalent water total head dynamic
Li
Ls
Equiv. Length
LS
Hf,S
Hm
ER*HR
Hw
m
0.18
2.00
1.47
3.47
0.08
27.86
0.62
44.93
45
46
47
48
49
49
49
Pump Efficiency
Required Power
Installed power
Installed Pump Speed
Nett Positive Suction Head
Nett Positive Suction Head
Nett Positive Suction Head Difference
em
P
P
n
NPSHa
NPSHr
NPSHa -NPSHr
kW
kW
r/min
m
m
m
62.04%
300.51
400.00
703.94
3.43
3.32
0.11
Dsuction
Hi
Desired pipe size
Particle size d 50 = 20 m m
FLOW
As specified on the Pump
As specified on the Pump
From Manufacturers Curve
Calculated
From Manufacturers Curve
From Manufacturers Curve
Calculated
From Manufacturers Curve
Installation Fine
Head [m]
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
45.00
44.00
43.00
42.00
41.00
40.00
39.00
0.00
50.00
100.00
150.00
Q [l/s]
200.00
250.00
Velocity PIPE HEAD
PUMP CURVE RECOMMENDED VEL.
Intrapolation of Ke Factor
6
65
30
0.14
1.15
0.55
K
0.42
0.06608492
1.9 m/s
from the pump cure
Bulk Modulus - E
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
Imperial Units - BG
(10 5 psi, lb f /in 2 )
SI Units
(10 Pa, N/m 2 )
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
(m 3 /m 3 K, m 3 /m 3o C)
(1/ o 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
VAPOUR PRES
9
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]
H2O
TEMP
SO2
0.87
1.23
1.70
2.34
3.17
4.24
5.62
7.38
9.58
12.34
19.92
31.16
47.36
70.11
101.33
-50
-40
-30
-20
-10
0
10
20
30
40
50
11.57
21.57
38.05
63.55
101.4
155.4
230.2
330.5
416.9
841.7
LIQUID DENSITY @ 1bar
H2SO4
0.001
TEMP
5
10
15
20
25
30
35
40
45
50
60
70
80
90
100
H2O
1000.0
999.7
999.2
998.3
997.1
995.7
994.0
992.3
990.2
988.0
983.2
977.7
971.6
965.2
958.1
H2SO4
1840.0
Surface
Copper, Lead, Brass, Aluminum (new)
PVC and Plastic Pipes
Epoxy, Vinyl Ester and Isophthalic pipe
Absolute Roughness - k
10 -3 (m)
(feet)
0.001 - 0.002
3.33 - 6.7 10
-6
0.0015 - 0.007 0.5 - 2.33 10-5
0.005
1.7 10-5
-5
Stainless steel
0.015
Steel commercial pipe
0.045 - 0.09
Stretched steel
0.015
Weld steel
0.045
Galvanized steel
0.15
5 10
Rusted steel (corrosion)
0.15 - 4
5 - 133 10
New cast iron
0.25 - 0.8
8 - 27 10-4
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 10-5
Smoothed cement
0.3
1 10-3
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 10-4
Ordinary wood
5
16.7 10-3
5 10
1.5 - 3 10-4
5 10
-5
1.5 10-4
-4
-4
0.0015
62
2.41935E-05