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

where 

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

In most practical cases it has a linear dependance on incharge cases pump characteristic curve has negligible dependence on intake pressure 

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

LaTeX Math Block
anchorKD0ZN
alignmentleft
p_{\rm out} = p_{\rm in} + ( \delta p_{\rm max} - p_{\rm in})\cdot \cdot F(q/q_{\rm max}) 

where 

LaTeX Math Inline
bodyF(x =0) = 0
 and 
LaTeX Math Inline
bodyF(x =1) = 1
.

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