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The most general Pump model is given as:

LaTeX Math Block

anchor	pump
alignment	left

p_{\rm out}= F(q, p_{\rm in})

In many practical cases it simplifies (see Fig. 1) to:

LaTeX Math Block

anchor	808YK
alignment	left

p_{\rm out}= ( p_{\rm max} - p_{\rm in}) * F(q/qmax)

The pump characteristic curve

LaTeX Math Inline

body	F(x)

can be usually approximated by quadratic equation:

LaTeX Math Block

anchor	VEVP9
alignment	left

F(x)= (1- x^m)^n, \, m > n

and usually

LaTeX Math Inline

body	n=0.5

and

LaTeX Math Inline

body	m=1

:

LaTeX Math Inline

body	--uriencoded--F(x)= \sqrt%7B1- x%7D

.

Fig. 1. Pump Characteristic Curve

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