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 3 Reference Temperature 4 Slurry Temperature 5 Slurry Medium 6 Slurry pH Level 7 Desired Flowrate 8 Dry Solids Density 9 Slurry Density 10 Density of water at ambient conditions 11 Denisity of water at Reference conditions 12 Volumetric temperature expansion coefficient 13 14 15 16 17 18 19 20 21 22 23 23 24 25 26 27 28 29 30 Bulk modulus fluid elasticity Concentration of Solids, Cw Static Head, z Pipe length, L Discharge Pipe Fittings Suction Pipe Fittings Pipeline Material Pipeline Diameter (OD) Pipeline Thickness Discharge Pipeline Diameter (ID/NB) Suction Pipe Length 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
Symbol P1 P0 T0 T N/A pH V rs rsl r1 r0 b e CW 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
Value 101,500 100,000 5 30 Water 7 1060 6800 3200 994.7 1000
Units N/m 2 N/mo o 2
1015 1
C C
N/A N/A m 3 /h kg/m 3 kg/m 3 kg/m 3 kg/m 3
3 3o 0.000214 m /m C
2.15E+09 81% 30 41 23.06 1.47 HDPE 315 17.5 280 1.5 250 Steel 2 Knife Gate Conical 3.7 Yes 0.02
N/m 2 % m m m m N/A mm mm mm m 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 90 Long 90 Short 45 Short 30 Short Elbow Tee Rubber hose Diaphram Valve full Open Full Bore Valve Round way Plug-lub Valve Rec way Taylor Valve Ball typeo o o o
# Fittings Discharge 3 0 0 3 0 0 0 0 0 0 0
Equiv Length Suction 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1.47
Equiv Length Discharge 17.29 0.00 0.00 5.76 0.00 0.00 0.00 0.00 0.00 0.00 0.00
25 0.52 0.7 0.26 0.17 0.82 1.77 0.3 2.56
32 0.73 0.91 0.37 0.24 1.13 2.38 0.4 3.29
0 0 0 0 0 0 0 0 0 0 2
0.37
0.49
ID/NB (mm) 40 0.85 1.1 0.43 0.28 1.31 2.74 0.49 3.44 1.19 0.58 50 1.07 1.4 0.54 0.36 1.68 3.35 0.55 3.66 1.43 0.73 65 1.28 1.65 0.64 0.43 1.98 4.27 0.7 4.6 1.52 0.85 80 1.55 2.07 0.78 0.52 2.47 5.18 0.85 4.88 1.92 1.04 0.2 1.22 90 1.83 2.44 0.92 0.61 2.9 5.79 1.01 100 2.13 2.77 1.07 0.71 3.35 6.71 1.16 7.62 2.19 1.4 0.23 1.58 115 2.41 3.05 1.21 0.80 3.66 7.32 1.28 125 2.71 3.66 1.36 0.90 4.27 8.23 1.43 13.11 3.05 1.77 0.3 150 3.35 4.27 1.68 1.12 4.88 10.06 1.55 18.29 3.11 2.13 0.37
200 4.27 5.49 2.14 1.42 6.4 13.11 2.41 19.81 7.92 2.74 0.82
250 5.18 6.71 2.59 1.73 7.92 17.07 2.99 21.34 10.67 3.47 0.61
300 6.1 7.92 3.05 2.03 9.75 20.12 3.35 28.96 15.85 4.08 0.76
350 7.01 9.45 3.51 2.34 10.97 23.16 4.27 28.96
400 8.23 10.67 4.12 2.74 12.8 26.52 4.88
450 9.14 12.19 4.57 3.05 14.02 30.48 5.49
500 10.36 13.11 5.18 3.45 15.85 33.53 6.1
4.88 0.91
5.49 1.04
6.22 1.16
7.32 1.25
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
Slurry Pump Calculations Symbol Units 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/ho
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% 474.59 131.83 280 9.81 0.76 1.88 2.14 64.06 0.016 0.85 203 4.07 0.73 0.10 0.10 0.23 250 2.69 0.18 2.00 1.47 3.47 0.08 27.86 0.62 44.93 62.04% 300.51 400.00 703.94 3.43 3.32 0.11
Comments
Q [%] Q=0% Q [l/s] 0.00 V [m/s] Vp [m/s] Vi [m/s] Hf [---] Lc [m] HL [m] Le [m] Li [m] Hm [m] Hw [m] 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000 26.30 42.42
Q=10% 13.18 0.21 0.41 0.27 0.01 0.00 0.00 0.00 0.002 26.31 42.44
Q=20% 26.37 0.43 0.81 0.54 0.03 0.00 0.00 0.01 0.007 26.36 42.51
Q=30% 39.55 0.64 1.22 0.81 0.08 0.01 0.01 0.02 0.017 26.43 42.63
Q=40% 52.73 0.86 1.63 1.07 0.14 0.02 0.02 0.04 0.029 26.54 42.80
Q=50% 65.91 1.07 2.04 1.34 0.21 0.03 0.02 0.06 0.046 26.67 43.01
Q=60% 79.10 1.28 2.44 1.61 0.31 0.04 0.04 0.08 0.066 26.83 43.28
Q=70% 92.28 1.50 2.85 1.88 0.42 0.05 0.05 0.11 0.090 27.02 43.59
Solid dry tons to be transferedQ [%] Q=80% Q [l/s] 105.46 V [m/s] 1.71 Vp [m/s] 3.26 Vi [m/s] 2.15Equals 733.95 m3/h with the safety factor of 55% Equals 203.87 m3/h with the safety factor of 55%
Sm Cv Q' Q d g FL VL V LD f Hf,D Dpump Vpump D1/D2 Le hL Ld Dsuction Hi Li Ls Equiv. Length LS Hf,S Hm ER*HR Hw em P P n NPSHa NPSHr NPSHa -NPSHr m /h l/s mm m/s 2 m/s m/s m3
Q=90% 118.65 1.93 3.67 2.42 0.69 0.08 0.08 0.19 0.1488 27.49 44.35
Q=100% 131.83 2.14 4.07 2.69 0.85 0.10 0.10 0.23 0.1837 27.77 44.80
Q=110% 145.01 2.35 4.48 2.95 1.03 0.13 0.12 0.28 0.2223 28.08 45.30
Q=120% 158.20 2.57 4.89 3.22 1.23 0.15 0.14 0.34 0.2646 28.42 45.85
Q=130% 171.38 2.78 5.29 3.49 1.44 0.18 0.17 0.39 0.3105 28.79 46.44
Q=140% 184.56 3.00 5.70 3.76 1.68 0.21 0.19 0.46 0.3601 29.19 47.08
Q=150% 197.74 3.21 6.11 4.03 1.92 0.24 0.22 0.53 0.4134 29.62 47.77
19 Quantity of Slury 20 Quantity of Slury 21 Pipeline size 22 23 24 25 Gravitational Acceleration Limiting Settling Velocity Factor Settling Velocity Slurry Velocity
Hf [---] Lc [m] HL [m] Le [m] Li [m] Hm [m] Hw [m]
0.55 0.07 0.06 0.15 0.1176 27.24 43.94
Desired pipe sizeParticle size d 50 = 20 m m
26 Total Equivalent length of a Discharge pipe 27 Darcay Friction Factor 28 Discharge Pipeline Friction Head Loss 29 Pump Discharge Diameter 30 Pump Nozzle Upstream Velocity 31 Pump nozzle size - Pipe size ratio 32 Loss in pipe enlargement (Ke*(V-V1)/2g) 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 49 49 Loss in pipe contraction (hL = K*V22/2g) Loss at pipe discharge Pump Suction diameter Slurry Velocity at Suction 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 Pump Efficiency Required Power Installed power Installed Pump Speed Nett Positive Suction Head Nett Positive Suction Head Nett Positive Suction Head Difference
FLOW
Velocity PIPE HEAD PUMP CURVE RECOMMENDED VEL. V [m/s] 0.00 0.21 0.43 0.64 0.86 1.07 1.28 1.50 1.71 1.93 2.14 2.35 2.57 2.78 3.00 3.21 H [m] 42.42 42.44 42.51 42.63 42.80 43.01 43.28 43.59 43.94 44.35 44.80 45.30 45.85 46.44 47.08 47.77 H [m] 44.5 44.5 44.5 44.3 44.1 44.0 43.8 43.5 42.9 42.6 42.5 42.1 42.0 41.5 41.0 40.0 25NB 40NB 50NB 80NB 100NB 150NB 200NB 300NB 1.4 m/s 1.6 m/s 1.9 m/s 2.0 m/s 2.2 m/s 2.4 m/s 2.6 m/s 0 47 95 142 190 237 285 332 380 427 475 522 570 617 664 712
mm m/s m m m mm m/s m m m m m m m kW kW r/min m m m
As specified on the Pump
Q [l/s] 0.00 13.18 26.37 39.55 52.73 65.91 79.10 92.28 105.46 118.65 131.83 145.01 158.20 171.38 184.56 197.74
Q [m3/hr]
As specified on the Pump
From Manufacturers Curve Calculated From Manufacturers Curve From Manufacturers Curve Calculated From Manufacturers Curve Installation Fine
from the pump cure
Intrapolation of Ke Factor 6 65 30 0.14 1.15 0.55 K 0.42 0.06608492
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 Q [l/s] 150.00 200.00 250.00
Head [m]
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 )9
VAPOUR PRES TEMP
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