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Fig. 1. Example of Pump Characteristic Curve.


A popular popular pump proxy model is given by the quadratic equation:

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LaTeX Math Inline
body--uriencoded--\delta p_%7B\rm max%7D

maximum pressure gain that pump can exert over the input pressure 

LaTeX Math Inline
bodyp_{\rm in}

LaTeX Math Inline
bodyq_{\rm max}

maximum flowrate that pump can produce

LaTeX Math Inline
bodyk_f \in [0,1]

total hydraulic pump friction (dimensionless)

LaTeX Math Inline
body\eta

pump efficiency efficiency

LaTeX Math Inline
body\eta_{\rm max}

maximum pump efficiency


The plunger pump and centrifugal Many pumps can be normally adjusted by the variation of the working frequency  frequency which affects the maximum the maximum pump flowrate as:

LaTeX Math Block
anchor1
alignmentleft
q_{\rm max} = q^*_{\rm max}  \cdot \frac{f}{f^*}

where

LaTeX Math Inline
body--uriencoded--q_%7B\rm max%7D

maximum intake flowrate at the working frequency 

LaTeX Math Inline
bodyf

LaTeX Math Inline
bodyf

adjusted working frequency

LaTeX Math Inline
body--uriencoded--q%5e*_%7B\rm max%7D

maximum intake flowrate at the nominal frequency 

LaTeX Math Inline
body--uriencoded--f%5e*

LaTeX Math Inline
body--uriencoded--f%5e*

nominal frequency

See also

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Natural Science / Engineering / Device / Pump

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