MAXScanner engineering calculator
Pump System Curve Calculator — Operating Point, Static Head & Friction Curve
Build a pump-system head curve and solve the pump/system intersection to estimate operating flow, operating head and friction-head share. The same canonical owner covers pump operating point, system resistance curve and centrifugal pump curve intersection intent without creating duplicate calculators.
Last updated: September 17, 2026
Results
Formula, example and assumptions
Hsystem=Hs+KQ²; Hpump=H0−BQ²; Qop=sqrt((H0−Hs)/(K+B)); Hop=Hs+KQop².
With 10 m static head, system K=0.02, 40 m pump shutoff head and pump B=0.01, the operating point is about 31.6 entered flow-units at 30 m head; 20 m of that head is the modeled friction component.
- Pump and system quadratic coefficients must use the same flow unit.
- Static head is flow-independent while modeled friction head varies with Q².
- This transparent quadratic model is ideal for screening and teaching. For equipment selection, digitize the actual manufacturer pump curve and calculate pipe/fitting losses at the candidate flow.
- A real operating point can move with valve position, speed, impeller diameter, fluid viscosity, fouling and Reynolds-dependent friction.
Frequently asked questions
What does this Pump System Curve Calculator solve?
Build a pump-system head curve and solve the pump/system intersection to estimate operating flow, operating head and friction-head share. The same canonical owner covers pump operating point, system resistance curve and centrifugal pump curve intersection intent without creating duplicate calculators.
Which units should I use?
Use the units printed beside each input. Dimensionless ratios need no conversion; pressure inputs used in gas equations are absolute unless the field explicitly says differential.
Is this suitable for final engineering design?
Use it for transparent first-pass calculations and cross-checks. Final design should verify gas or fluid properties, geometry, loss data, equipment curves and the applicable engineering standard.