The most general Pump model is given as a function of volumetric flowrate of the intake and discharge pressure
:
q = q(p_{\rm out}, p_{\rm in}) |
The electrical power consumption is given by:
W(q,p) = \eta(q) \cdot q \cdot (p_{\rm out}-p_{\rm in}) |
where
pump efficiency |
In most practical cases the pump model depends on the diffference between intake and discharge pressure
and called pump characteristic curve (see Fig. 1):
q = q(p_{\rm out} - p_{\rm in}) |
Fig. 1. Pump Characteristic Curve |
A popular pump proxy model is given by quadratic equation:
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] |
\eta(q) = 4 \, \eta_{\rm max} \cdot q/q_{\rm max} \cdot ( 1 - q/q_{\rm max}) |
where
maximum pressure gain that pump can exert over the input pressure | |
maximum flowrate that pump can produce | |
curvature of the pump characteristics (dimensionless) | |
pump efficiency | |
maximum pump efficiency |
Natural Science / Engineering / Device / Pump
Physics / Fluid Dynamics / Pipe Flow Dynamics / Pipe Flow Simulation (PFS)
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