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LaTeX Math Block
anchorpump
alignmentleft
q = q(p_{\rm out}, p_{\rm in})

x


The power consumpotion electrical power consumption  

LaTeX Math Inline
body--uriencoded--\displaystyle W = \frac%7BdE%7D%7Bdt%7D
is given by:

LaTeX Math Block
anchoreta_pump
alignmentleft
W(q,p) =  \eta(q) \cdot q \cdot (p_{\rm out}-p_{\rm in})

where

LaTeX Math Inline
body\eta

pump efficiency

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LaTeX Math Block
anchorKD0ZN
alignmentleft
q = q(p_{\rm out} - p_{\rm in})

The pump characteristic curve 

LaTeX Math Inline
bodyF(x)
 can be usually approximated by the following equation:

LaTeX Math Block
anchorRPGDY
alignmentleft
F(x)= 1 - (1- x^m)^n

and usually 

LaTeX Math Inline
bodyn=0.5
 and 
LaTeX Math Inline
bodym=1
:
LaTeX Math Inline
body--uriencoded--F(x)= 1- \sqrt%7B1- x%7D
.


Fig. 1. Pump Characteristic Curve

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LaTeX Math Inline
bodyp_{\rm max}

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

curvature of the pump characteristics (dimensionless)

LaTeX Math Inline
body\eta

pump efficiency

LaTeX Math Inline
body\eta_{\rm max}

maximum pump efficiency

LaTeX Math Inline
bodyW

electrical consumption per unit time


See also

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Natural Science / Engineering / Device / Pump

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