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where 

LaTeX Math Inline
body--uriencoded--F(q, p_%7B\rm in%7D)
 is called pump characteristic curve.

The power consumpotion is given by:

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anchoreta_pump
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W(q,p) =  \eta(q) \cdot q \cdot (p-p_{\rm in})

where

LaTeX Math Inline
body\eta

pump efficiency


In most practical cases pump characteristic curve has negligible dependence on intake pressure 

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

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Fig. 1. Pump Characteristic Curve


A popular pump proxy model is given by:


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anchorq_pump
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q = \frac{q_{\rm max}}{2 \cdot k_f} \cdot \left[ -(1- k_f) +  \sqrt{ (1 + k_f)^2 - 4 \cdot k_f \cdot (p- p_{\rm in})/p_{\rm max}) \ } \right]


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\eta(q) = 4 \, \eta_{\rm max} \cdot q/q_{\rm max} \cdot ( 1 -  q/q_{\rm max})




See also

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Natural Science / Engineering / Device / Pump

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