Pumping Formula

Pumping Formula for any liquid
Formula for water at 20 degrees C
 

Pumping Formula for any liquid

 
Volumetric 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/m cubed) * 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 (mm squared)

NOTE: Coefficients are based on:
  •  Density of water at 20 degrees C of 998.20 kg per m cubed
  •  Gravitational acceleration of 9.800 m/s squared