CentrifugalPump

Process Description

Centrifugal pump with quadratic head-flow characteristics for dynamic flow applications. Models realistic pump behavior where head decreases with increasing flow rate according to pump affinity laws.

Key Equations

Pump Curve:

\[H = H_0 - K \times Q^2\]

Pressure-Head Relationship:

\[\Delta P = \rho \times g \times H\]

Affinity Laws:

\[\frac{Q_2}{Q_1} = \frac{N_2}{N_1}, \quad \frac{H_2}{H_1} = \left(\frac{N_2}{N_1}\right)^2\]

Specific Speed:

\[N_s = \frac{N \sqrt{Q}}{H^{3/4}}\]

Process Parameters

Parameter	Symbol	Range	Units	Description
Shutoff Head	H₀	10 - 200	m	Head at zero flow
Head Coefficient	K	1 - 500	s²/m⁵	Curve steepness
Efficiency	η	0.3 - 0.85	dimensionless	Peak efficiency
Specific Speed	Ns	10 - 200	dimensionless	Design parameter

Industrial Example

Results

Process Behavior

Performance Analysis

References

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

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

3. Stepanoff, A.J. “Centrifugal and Axial Flow Pumps, 2nd Edition” Wiley, 1957