Typical Slurry Pump Calculation 1. First the user must enter design criteria or physical prop 2. The user must also enter the number of fittings in both th 3. Then in the “CALCS” tab, the user must also enter design c 4. In the “CALCS” tab, the user will need to determine and en
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Typical Slurry Pump Calculation1. First the user must enter design criteria or physical properties on the “Input Criteria” tap. Only values highlighted in blue need to be entered (NB: cells in blue font colour only).2. The user must also enter the number of fittings in both the suction and the discharge side. If the fitting unique to your installation is not listed, just assign any fitting closest to yours in terms of head loss.3. Then in the “CALCS” tab, the user must also enter design criteria only on the cell highlighted in blue.4. In the “CALCS” tab, the user will need to determine and enter various factors (pipe friction factor, settling velocity factor, and slurry pump efficiency), in the cell shaded with dark blue fill by using the charts provided in various tabs.
First the user must enter design criteria or physical properties on the “Input Criteria” tap. Only values highlighted in blue need to be entered (NB: cells in blue font colour only).The user must also enter the number of fittings in both the suction and the discharge side. If the fitting unique to your installation is not listed, just assign any fitting closest to yours in terms of head loss.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 velocity factor, and slurry pump efficiency), in the cell shaded with dark blue fill by using the charts provided in various tabs.
The user must also enter the number of fittings in both the suction and the discharge side. If the fitting unique to your installation is not listed, just assign any fitting closest to yours in terms of head loss.
In the “CALCS” tab, the user will need to determine and enter various factors (pipe friction factor, settling velocity factor, and slurry pump efficiency), in the cell shaded with dark blue fill by using the charts provided in various tabs.
Item Criteria Symbol Value Units
1 Ambiet Pressure 101,500 1015
2 Reference Pressure 100,000 1
3 Reference Temperature 5
4 Slurry Temperature T 30
5 Slurry Medium N/A Water N/A6 Slurry pH Level pH 7 N/A
7 Desired Flowrate V 1060
8 Dry Solids Density 6800
9 Slurry Density 3200
10 Density of water at ambient conditions 994.7
11 Denisity of water at Reference conditions 1000
12 Volumetric temperature expansion coefficient b 0.000214
13 Bulk modulus fluid elasticity e 2.15E+09
14 81% %15 Static Head, z z 30 m16 Pipe length, L L 41 m
17 Discharge Pipe Fittings 23.06 m
18 Suction Pipe Fittings 1.47 m19 Pipeline Material N/A HDPE N/A20 Pipeline Diameter (OD) OD 315 mm21 Pipeline Thickness t 17.5 mm22 Discharge Pipeline Diameter (ID/NB) ID 280 mm 78
23 Suction Pipe Length 1.5 m
23 Suction Pipe Diameter 250 mm24 Suction Pipe Material N/A Steel N/A25 # Pipeline fittings in Suction line N/A 2 N/A26 Types of pipe fittings N/A Knife Gate N/A27 Sump Design N/A Conical N/A
Slurry Pump Calculations Q [%] Q=0% Q=10% Q=20% Q=30% Q=40% Q=50% Q=60% Q=70%DMS CM Pump Symbol Units Value Comments Q [l/s] 0.00 13.18 26.37 39.55 52.73 65.91 79.10 92.28
1 Normal Operating Temperature T 30 V [m/s] 0.00 0.21 0.43 0.64 0.86 1.07 1.28 1.502 Normal Operating Pressure mbar 1015 0.00 0.41 0.81 1.22 1.63 2.04 2.44 2.853 Normal Operating Pressure m 10.58 0.00 0.27 0.54 0.81 1.07 1.34 1.61 1.884 Vapour Pressure m 1.43 0.00 0.01 0.03 0.08 0.14 0.21 0.31 0.425 Specific Gravity of Solids S 6.8 0.00 0.00 0.00 0.01 0.02 0.03 0.04 0.056 Average Particle Size mm 0.02 0.00 0.00 0.00 0.01 0.02 0.02 0.04 0.057 Concentration of Solids by weight % 81% 0.00 0.00 0.01 0.02 0.04 0.06 0.08 0.118 Static Discharge Head m 30 0.000 0.002 0.007 0.017 0.029 0.046 0.066 0.0909 Suction Static Head m 3.7 26.30 26.31 26.36 26.43 26.54 26.67 26.83 27.02
10 Length of Pipeline L m 41 42.42 42.44 42.51 42.63 42.80 43.01 43.28 43.5911 Discharge Pipe Fittings Equiv. Length m 23.0612 Weight of solids in Slurry tons/h 1230 Solid dry tons to be transfered13 Weight of volume of Water equal to solids volume tons/h 18114 Weight of water in slurry tons/h 294 Q [%] Q=80% Q=90% Q=100% Q=110% Q=120% Q=130% Q=140% Q=150%15 Total weight of equal volume of water tons/h 475 Q [l/s] 105.46 118.65 131.83 145.01 158.20 171.38 184.56 197.7416 Total weigh of slurry mixture tons/h 1524 V [m/s] 1.71 1.93 2.14 2.35 2.57 2.78 3.00 3.2117 Specific gravity of slurry mixture 3.21 3.26 3.67 4.07 4.48 4.89 5.29 5.70 6.1118 Concentration of Solids by volume 38.1% 2.15 2.42 2.69 2.95 3.22 3.49 3.76 4.03
19 Quantity of Slury Q' 474.59 Equals 733.95 m3/h with the safety factor of 55% 0.55 0.69 0.85 1.03 1.23 1.44 1.68 1.9220 Quantity of Slury Q l/s 131.83 Equals 203.87 m3/h with the safety factor of 55% 0.07 0.08 0.10 0.13 0.15 0.18 0.21 0.2421 Pipeline size d mm 280 Desired pipe size 0.06 0.08 0.10 0.12 0.14 0.17 0.19 0.22
25 Slurry Velocity V m/s 2.14 43.94 44.35 44.80 45.30 45.85 46.44 47.08 47.7726 Total Equivalent length of a Discharge pipe m 64.0627 Darcay Friction Factor f 0.016
28 Discharge Pipeline Friction Head Loss 0.85 FLOW Velocity PIPE HEAD MP CURVE RECOMMENDED VEL.
29 Pump Discharge Diameter mm 203 As specified on the Pump Q [l/s] V [m/s] H [m] H [m] 25NB 1.4 m/s
30 Pump Nozzle Upstream Velocity m/s 4.07 0.00 0 0.00 42.42 44.5 40NB 1.6 m/s31 Pump nozzle size - Pipe size ratio 0.73 13.18 47 0.21 42.44 44.5 50NB32 Loss in pipe enlargement (Ke*(V-V1)/2g) m 0.10 26.37 95 0.43 42.51 44.5 80NB 1.9 m/s
33 m 0.10 39.55 142 0.64 42.63 44.3 100NB 2.0 m/s34 Loss at pipe discharge m 0.23 52.73 190 0.86 42.80 44.1 150NB 2.2 m/s35 Pump Suction diameter mm 250 As specified on the Pump 65.91 237 1.07 43.01 44.0 200NB 2.4 m/s
36 Slurry Velocity at Suction m/s 2.69 79.10 285 1.28 43.28 43.8 300NB 2.6 m/s37 Loss of head at entrance to suction pipe m 0.18 92.28 332 1.50 43.59 43.538 Suction Pipe Lenth Ls m 2.00 105.46 380 1.71 43.94 42.939 Suction pipe fittigs length Equiv. Length m 1.47 118.65 427 1.93 44.35 42.640 Total Equivalent length of a Suction pipe m 3.47 131.83 475 2.14 44.80 42.541 Suction Pipeline Friction Head Loss m 0.08 145.01 522 2.35 45.30 42.142 Total dynamic head on the pump m 27.86 158.20 570 2.57 45.85 42.043 Slurry Pump Derating Efficiency ( = HR*ER) ER*HR 0.62 171.38 617 2.78 46.44 41.544 Equivalent water total head dynamic m 44.93 184.56 664 3.00 47.08 41.0
45 Pump Efficiency em 62.04% From Manufacturers Curve 197.74 712 3.21 47.77 40.0 from the pump cure46 Required Power P kW 300.51 Calculated47 Installed power P kW 400.00 From Manufacturers Curve48 Installed Pump Speed n r/min 703.94 From Manufacturers Curve 6 65 3049 Nett Positive Suction Head NPSHa m 3.43 Calculated 0.14 1.15 0.5549 Nett Positive Suction Head NPSHr m 3.32 From Manufacturers Curve K 0.42 0.0660849249 Nett Positive Suction Head Difference NPSHa -NPSHr m 0.11 Installation Fine