Slurry Pump Calculations
Slurry Pump Calculations
Slurry Pump Calculations
2.
3.
4.
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
Item Criteria
1 Ambiet Pressure
2 Reference Pressure
Symbol
P1
P0
Value
101,500
100,000
Units
N/m 2
N/m
o
3 Reference Temperature
T0
4 Slurry Temperature
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
r1
994.7
kg/m 3
r0
1000
kg/m 3
13
14
15
16
17
e
CW
18
19
20
21
22
23
23
24
25
26
27
28
29
30
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
90 Long
o
90 Short
# Fittings
Discharge
Equiv
Length
Suction
Equiv
Length
Discharge
25
32
0.00
17.29
0.52
0.73
0.00
0.00
0.7
0.91
0.00
0.00
0.26
0.37
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
0.00
0.00
2.56
3.29
0.00
0.00
0.00
0.00
0.37
0.49
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
DMS CM Pump
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
T
Hatm
Hatm
Hvap
S
d50
Cw
Zd
Zs
L
Equiv. Length
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
19 Quantity of Slury
Q'
m /h
474.59
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
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
64.06
0.016
0.85
Dpump
mm
203
Q [l/s]
Q [m3/hr]
V [m/s]
H [m]
H [m]
25NB
1.4 m/s
Vpump
D1/D2
Le
m/s
0.00
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
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
m/s
m/s
33
34
35
36
37
38
39
40
41
42
43
44
Li
Ls
Equiv. Length
LS
Hf,S
Hm
ER*HR
Hw
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
FLOW
Head [m]
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
Intrapolation of Ke Factor
6
65
30
0.14
1.15
0.55
K
0.42
0.06608492
1.9 m/s
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
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
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
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
Stainless steel
0.015
0.045 - 0.09
Stretched steel
0.015
Weld steel
0.045
Galvanized steel
0.15
5 10
0.15 - 4
5 - 133 10
0.25 - 0.8
8 - 27 10-4
0.8 - 1.5
2.7 - 5 10-3
1.5 - 2.5
5 - 8.3 10-3
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
0.18 - 0.9
6 - 30 10-4
Ordinary wood
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