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Pumping Formulas


Pumping Formula for any liquid

Volumic flow from mass flow & density

For any liquid
Vol flow (l/s) = 1000 * Mass Flow (kg/s)
Density (kg/m3)

Head of liquid from pressure & density

For any liquid
Head (m) = 102.0 * Pressure (kPa)
Density (kg/m3)

Pump input power from pump performance

For any liquid
Power (kW) = Density (kg/m3) * Volumetric Flow (l/s) * Head (m)
1000 * 102.0 * Efficiency (decimal)

Pump input power from kilowatt - hour meter

Power (kW) = 36 * Disc.Revs. * Meter Ratio Constant * Motor Efficiency (dec)
Time (s) * Meter Disc. Constant (rev/kW-h)

Pump input power from current and voltage

Power (kW) = Current (A) * Voltage (V) * Motor Efficiency (dec) * Pump Efficiency (dec)
57 735

Motor input energy per volume of liquid pumped

For any liquid
Energy/ Volume (kW-h/kl) = Density (kg/m3) * Head (m)
367 347 * Motor Efficiency (dec) * Pump Efficiency (dec)

Pump input power from engine

Power (kW) = Pi * Torque (N.m) * Speed (rpm)
30 000
= Torque (N.m) * speed (rpm)
9 549

Pumping Formula for water at 20 degrees C

Volumetric flow from mass flow

Vol flow (l/s) = 1.002 * Mass Flow (kg/s)

Head of liquid from pressure

Head (m) = 0.1022 * Pressue (kPa)
Head (ft) = 0.3354 * Pressure (kPa)

Pump input power from pump performance

Power (kW) = volumetric flow (l/s) * Head (m)
102.2 * Efficiency (decimal)

Motor input energy per volume of liquid pumped

energy/volume (kW-h/kl) = Head (m)
368.0 * Motor efficiency (dec) * pump efficiency (dec)

Average velocity of flow

Through a circular section
Velocity of flow (m/s) = 1273 * Volumetric Flow (l/s)
[Diameter (mm) ] squared

Through any area normal to the direction of flow

Velocity of Flow (m.s) = 1000 * Volumetric Flow (l/s)
Area (mm2)