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Pump Hydraulic And Input Power

Calculate pump hydraulic power and input power or motive power from flowrate and delta pressure.

`Wh = Q ΔP `
`Wi = (Wh) / E `

where :

Wh = hydraulic power
Wi = input power or motive power
Q = volume flowrate
ΔP = delta stagnation pressure
E = efficiency factor

The pump efficiency accounts for energy losses in the pump such as friction etc. The input power is the motive power required to drive the pump (the size of motor). To calculate the energy required (eg electrical energy) the efficiency factor should equal the pump efficiency times the motor efficiency.

`E = Ep.Ee `

where :

Ep = pump efficiency factor
Ee = electric motor efficiency factor

Pump efficiency varies with flowrate. The flowrate with maximum efficiency is referred to as the best efficiency point (BEP).

PLEASE NOTE : The pump calculators are currently being updated. Apologies for any inconvenience.

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Links : ±
CALCULATOR : Pump Specific Speed And Power From Design Head And Flowrate [FREE]   ±

Calculate required pump size and optimum pump type from the design pump speed, pump head or delta pressure and flowrate for single or multiple pumps.

The pump specifications can be used to select a suitable pump. The pump specific speed can be used to determine the most efficient type of pump for the design operating conditions (multi stage, centrifugal, mixed flow or axial flow). Use multiple pumps in series to increase the pump specific speed. Use multiple pumps in parallel to decrease the pump specific speed. The pump is assumed to be operating at the best efficiency point (BEP).

The hydraulic power is the energy added to the liquid by the pump(s) (volume flowrate x delta pressure). The input power or motive power is the power required to drive the pump(s) and accounts for the energy losses in the pump. Calculate either the total power, or the power per pump (relevant for multiple pump systems).

Tool Input

  • fetype : Pump Efficiency Factor Type
    • Eu : User Defined Pump Efficiency Factor
  • motype : Multiple Pump Type
  • mptype : Number Of Pumps Type
    • Mu : User Defined No Of Pumps
  • wptype : Power Calculation Type
  • hpdtype : Design Head Or Delta Pressure Type
    • ΔPdu : User Defined Design Delta Pressure
    • Hdu : User Defined Design Head
  • ρf : Design Fluid Density
  • Qdf : Design Fluid Flowrate
  • nd : Pump Design Rotation Speed

Tool Output

  • ΔPd : Design Delta Pressure
  • E : Pump Efficiency Factor
  • Hbr : Pump Reference Head At BEP
  • Hd : Design Head
  • Ns : Pump Specific Speed At BEP
  • Qbr : Pump Reference Flowrate At BEP
  • Wh : Hydraulic Power At BEP
  • Wi : Input Power At BEP
  • mp : Number Of Pumps
CALCULATOR : Pump Static Dynamic And Stagnation Pressure And Head Conversion [FREE]   ±

Convert pump pressure and pump head (static and stagnation pressure / head).

Pump head can be calculated from pump pressure by

`H = (P) / (ρ g) `

where :

H = head
P = pressure
ρ = fluid density
g = gravity constant

The stagnation pressure is calculated by

`Pg = Ps + Pd `
`Pd = 1/2 ρ V^2 `
`V = (4 Q) / (pi D^2) `

where :

Ps = static pressure
Pg = stagnation pressure
Pd = dynamic pressure
V = fluid velocity
Q = volume flowrate
D = inside diameter

Tool Input

  • schdtype : Pipe Schedule Type
  • diamtype : Pipe Diameter Type
    • ODu : User Defined Outside Diameter
    • IDu : User Defined Inside Diameter
  • wtntype : Wall Thickness Type
    • tnu : User Defined Wall Thickness
  • voltype : Fluid Flowrate Type
    • Qu : User Defined Volume Flow Rate
    • Mu : User Defined Mass Flow Rate
    • Vu : User Defined Fluid Velocity
  • presstype : Pressure Type
    • Psu : User Defined Static Pressure
    • Pgu : User Defined Stagnation Pressure
    • Hsu : User Defined Static Head
    • Hgu : User Defined Stagnation Head
  • ρ : Fluid Density

Tool Output

  • Hd : Dynamic Head
  • Hg : Stagnation Head
  • Hs : Static Head
  • ID : Inside Diameter
  • M : Liquid Mass Flowrate
  • Pd : Dynamic Pressure
  • Pg : Stagnation Pressure
  • Ps : Static Pressure
  • Q : Liquid Volume Flowrate
  • V : Fluid Velocity
CALCULATOR : Pump Specific Speed And Power From Viscous Design Head And Flowrate [FREE]   ±

Calculate the required radial pump specific speed and power from the viscous design pump speed, delta pressure and flowrate for single and multiple pumps.

The reference pump size for water is calculated from the viscous design delta pressure and flowrate using the Hydraulic Institute Method (HI 9.6.7-2010). The solution is calculated iteratively. Check that the convergence factor is close to or equal to one. The pump specific speed, reference delta pressure at BEP, reference flowrate at BEP, hydraulic power and input power can be used to select a suitable pump. Use multiple pumps in series to increase the required pump specific speed. Use multiple pumps in parallel to decrease the required pump specific speed. The method is suitable for radial pumps with Np practical pump specific speed 60 ≤ Np ≤ 3000. For best efficiency 1000 ≤ Np ≤ 2000 is recommended. The pump is assumed to be operating at the best efficiency point (BEP).

The hydraulic power is the energy added to the liquid by the pump(s) (volume flowrate x delta stagnation pressure). The input power or motive power is the power required to drive the pump(s) and accounts for the energy losses in the pump. Calculate either the total power, or the power per pump (relevant for multiple pump systems).

Reference : Hydraulic Institute HI 9.6.7-2010 : Effects Of Liquid Viscosity On Rotodynamic (Centrifugal And Vertical) Pump Performance

Tool Input

  • vktype : Viscosity Type
    • μu : User Defined Dynamic Viscosity
    • νu : User Defined Kinematic Viscosity
  • fvtype : Viscous Factor Type
  • fetype : Pump Reference Efficiency Factor Type (Water)
    • Eu : User Defined Reference Efficiency Factor
  • motype : Multiple Pump Type
  • mptype : Number Of Pumps Type
    • Mu : User Defined No Of Pumps
  • wptype : Power Calculation Type
  • hpdtype : Design Head Or Delta Pressure Type
    • ΔPdfu : User Defined Design Delta Pressure
    • Hdfu : User Defined Design Head
  • ρf : Design Fluid Density
  • Qdf : Design Volume Flowrate
  • nd : Pump Design Rotation Speed

Tool Output

  • ΔPdf : Design Delta Pressure
  • ν : Kinematic Viscosity
  • B : Viscosity B Factor
  • CVG : Convergence Factor (= 1)
  • Ce : Viscosity Efficiency Coefficient
  • Cq : Viscosity Flowrate Coefficient
  • E : Base Pump Efficiency Factor
  • Ev : Viscous Pump Efficiency Factor
  • Hbr : Pump Reference Head At BEP
  • Hdf : Design Head
  • Ns : Pump Specific Speed At BEP
  • Qbr : Pump Reference Volume Flowrate At BEP (Water)
  • Wh : Pump Hydraulic Power At BEP
  • Wi : Pump Input Power At BEP
  • mp : Number Of Pumps
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