Understanding the NPSH calculator — concept and principle
This calculator finds the net positive suction head available (NPSHa) at a pump's inlet and compares it with the NPSH the pump requires, to check the risk of cavitation. It takes the surface pressure, vapour pressure, liquid density, suction height and suction losses. Pump engineers and plant operators use it when laying out suction lines and selecting pumps.
How it is calculated
NPSHa = H_p ± H_z − H_f − H_vp
H_p = p_surface ÷ (ρ g); H_vp = p_vapour ÷ (ρ g)
- H_z is the liquid level above (+, flooded suction) or below (−, suction lift) the pump centreline, H_f the friction and entrance losses in the suction line at the operating flow.
- Pressures are absolute, in kPa; g = 9.80665 m/s². Margin = NPSHa − NPSHr.
The principle
Liquid boils when its pressure falls to its vapour pressure. At a pump's impeller eye the pressure is lowest, so if it drops too far, vapour bubbles form and then collapse violently further in, damaging the impeller and reducing performance; this is cavitation. NPSHa is how far the pressure at the inlet stays above the vapour pressure, expressed as a head of liquid. It must exceed the NPSH required on the pump's curve, with a margin.
Worked example
Default inputs: surface pressure 101.325 kPa, vapour pressure 2.34 kPa (water near 20 °C), ρ = 998 kg/m³, level −3 m, losses 0.8 m, NPSHr 3.5 m.
- H_p = 101,325 ÷ (998 × 9.80665) = 10.35 m.
- H_vp = 2,340 ÷ (998 × 9.80665) = 0.24 m.
- NPSHa = 10.35 − 3 − 0.8 − 0.24 = 6.31 m = 20.7 ft.
- Margin = 6.31 − 3.5 = 2.81 m; ratio = 1.8; check: meets the pump requirement.
| Liquid density (kg/m³) | NPSH available (m) |
|---|---|
| 250 | 36.66 |
| 499 | 16.43 |
| 748 | 9.69 |
| 998 | 6.31 |
| 1,248 | 4.29 |
| 1,497 | 2.94 |
| 1,996 | 1.26 |
How to read the result
Hot liquids have much higher vapour pressure and therefore much lower NPSHa; at temperatures near boiling, a flooded suction may be required. High altitude lowers atmospheric pressure and also reduces NPSHa. Designers usually add a safety margin above NPSHr, because NPSHr on pump curves is typically defined at a point where cavitation already reduces head.
Common mistakes
- Using gauge pressure instead of absolute pressure.
- Ignoring the rise of vapour pressure with temperature.
- Calculating losses at the wrong flow rate.
- Treating a suction lift as positive.
Frequently asked questions
What happens when NPSHa is too low?
The pump cavitates: noise, vibration, loss of head and impeller damage.
Why does hot water cause cavitation more easily?
Its vapour pressure is much higher, so less margin remains.
Does altitude matter?
Yes. Lower atmospheric pressure reduces the pressure head on an open tank.
How can I raise NPSHa?
Raise the liquid level, shorten or enlarge the suction pipe, or cool the liquid.
Sources: Wilo technical note "Net Positive Suction Head (NPSH)"