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Pump Variable Frequency Drive (VFD) Design Speed

Calculate pump variable frequency drive (VFD) speed to match pump design pressure and design flowrate for viscous and non viscous fluids.

The design pump speed is calculated using the affinity or similarity laws.

`(ΔP2)/(ΔP1) = (ρ2)/(ρ1) (n2)/(n1)^2 `
`(Q2)/(Q1) = (n2)/(n1) `

where :

ΔP1 and ΔP2 = the delta pressure for pump 1 and 2
Q1 and Q2 = the flowrate for pump 1 and 2
n1 and n2 = the rotation speed for pump 1 and 2
ρ1 and ρ2 = the fluid density for pump 1 and 2

The pump curve is calculated using a three term quadratic curve:

`ΔP = ΔPo (1 - A Q - B Q^2 ) `

where :

ΔPo = the shut in delta pressure
A and B are constants

The design pump speed can be calculated by solving the quadratic equation for the design delta pressure and flowrate. For fluids with a kinematic viscosity ν > 20 cSt, the viscous calculation is recommended.

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

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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