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A popular pump proxy model is given by the quadratic equation:
| LaTeX Math Block |
|---|
| anchor | q_pump |
|---|
| alignment | left |
|---|
| 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_{\rm out}- p_{\rm in})/\delta p_{\rm max}) \ } \, \right] |
|
| LaTeX Math Block |
|---|
| anchor | q_pump |
|---|
| alignment | left |
|---|
| p_{\rm out} = p_{\rm in} + \delta p_{\rm max} \cdot \left[ 1+
(k_f -1 ) \cdot \frac{q}{q_{\rm max}} - k_f \cdot \left( \frac{q}{q_{\rm max}} \right)^2
\right ] |
|
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| LaTeX Math Inline |
|---|
| body | --uriencoded--\delta p_%7B\rm max%7D |
|---|
|
| maximum pressure gain that pump can exert over the input pressure |
|---|
| maximum flowrate that pump can produce |
|---|
| total hydraulic pump friction (dimensionless) |
|---|
| pump efficiency |
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| maximum pump efficiency |
|---|
The plunger pump and centrifugal pumps are normally adjusted by working frequency
See also
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Natural Science / Engineering / Device / Pump
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