The most general Pump model is given as a function of volumetric flowrate of the intake p_{\rm in} and discharge pressure p_{\rm out}:
| (1) | q = q(p_{\rm out}, p_{\rm in}) |
The electrical power consumption \displaystyle W = \frac{dE}{dt} is given by:
| (2) | W = \eta(q) \cdot q \cdot (p_{\rm out}-p_{\rm in}) |
where
\eta | pump efficiency |
In most practical cases the pump model (1) depends on the difference between intake and discharge pressure p_{\rm out} - p_{\rm in} and called pump characteristic curve (see Fig. 1):
| (3) | q = q(p_{\rm out} - p_{\rm in}) |
|
Fig. 1. Pump Characteristic Curve as function of delta pressure p = p_{\rm out}-p_{\rm in}. |
A popular pump proxy model is given by the quadratic equation:
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| (6) | \eta(q) = 4 \, \eta_{\rm max} \cdot q/q_{\rm max} \cdot ( 1 - q/q_{\rm max}) |
where
\delta p_{\rm max} | maximum pressure gain that pump can exert over the input pressure p_{\rm in} |
|---|---|
q_{\rm max} | maximum flowrate that pump can produce |
k_f \in [0,1] | total hydraulic pump friction (dimensionless) |
\eta | pump efficiency |
\eta_{\rm max} | maximum pump efficiency |
The plunger pump and centrifugal pumps are normally adjusted by working frequency
See also
Natural Science / Engineering / Device / Pump
Physics / Fluid Dynamics / Pipe Flow Dynamics / Pipe Flow Simulation (PFS)