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Centrifugal Pump Power

Centrifugal pump power describes the power of a certain class of pumps used to transport fluids by the conversion of rotational kinetic energy to the hydrodynamic energy of the fluid flow.

Shaft power equals the product of the differential head, flow rate, fluid density and gravitational acceleration divided by the pump efficiency.

Formula

QuantityVariable["P", "Power"] == (Quantity[1, "StandardAccelerationOfGravity"]*QuantityVariable["h", "Length"]*QuantityVariable["q", "VolumeFlow"]*QuantityVariable["ρ", "MassDensity"])/QuantityVariable["η", "Unitless"]

symbol description physical quantity
P shaft power "Power"
h differential head "Length"
q flow rate "VolumeFlow"
η pump efficiency "Unitless"
ρ fluid density "MassDensity"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Centrifugal Pump Power"]
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Get the formula:

In[2]:=
FormulaData[ResourceObject["Centrifugal Pump Power"]]
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Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Centrifugal Pump Power"], {QuantityVariable["\[Eta]","Unitless"] -> 0.8`, QuantityVariable["P","Power"] -> Quantity[122625, "Watts"], QuantityVariable["q","VolumeFlow"] -> Quantity[1, ("Meters")^3/("Seconds")]}]
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