Pump

Process Description

Generic liquid pump model providing constant pressure rise for process fluid transport. Represents fundamental hydraulic behavior of pumping equipment with steady-state and dynamic response characteristics.

Key Equations

Hydraulic Power:

\[P_{hydraulic} = Q \times \Delta P\]

Brake Power with Efficiency:

\[P_{brake} = \frac{Q \times \Delta P}{\eta}\]

Dynamic Response (First-Order):

\[\tau \frac{dP_{out}}{dt} = P_{ss} - P_{out}\]

Process Parameters

Parameter	Symbol	Range	Units	Description
Efficiency	η	0.5 - 0.85	dimensionless	Overall pump efficiency
Density	ρ	800 - 1200	kg/m³	Liquid density
Nominal Flow	Q_nom	0.001 - 10	m³/s	Design volumetric flow
Pressure Rise	ΔP_nom	50,000 - 2,000,000	Pa	Design pressure increase

Industrial Example

Results

Process Behavior

Sensitivity Analysis

References

1. Karassik, I.J. et al. “Pump Handbook, 4th Edition” McGraw-Hill, 2008

2. Perry, R.H. & Green, D.W. “Perry’s Chemical Engineers’ Handbook, 8th Edition” McGraw-Hill, 2008

3. Gülich, J.F. “Centrifugal Pumps, 3rd Edition” Springer, 2014