Pump Sizing
A preliminary pump sizing hub: how flow, head, pressure, system losses, power, NPSH, and service conditions connect when you size a centrifugal pump. Links the head, power, friction-loss, and NPSH tools into one workflow.
Definition
Pump sizing is the preliminary engineering process of matching a pump to a duty: delivering a required flow rate against the total head the system imposes, with enough suction-side margin to avoid cavitation and enough power to drive it. For centrifugal pumps the system side is what you calculate — flow, static head, friction and minor losses, and NPSH available — and the pump itself is then selected against its vendor curve. This hub ties the individual head, pressure, friction-loss, power, and NPSH tools into one connected workflow.
Why it matters
Sizing sits at the centre of the pump cluster because every other quantity feeds into it. Head and pressure are two views of the same energy (ΔP = ρgh); friction and minor losses convert pipe layout into added head; NPSH available decides whether the suction arrangement is viable; and hydraulic power sets the motor. Getting the connections right — rather than any single formula — is what separates a workable preliminary specification from an oversized, cavitating, or under-powered installation. The affinity laws then let you reason about speed and impeller trims once a base curve exists.
Formula
Units involved
- •Q — volumetric flow in m³/h, L/s, or gpm
- •H, TDH — head in metres (m) or feet (ft)
- •ΔP — pressure in kPa, bar, or psi
- •ρ — fluid density in kg/m³ or lb/ft³
- •P — power in kW or hp
- •η — pump efficiency (fraction or %)
Concept diagram
Worked example
A preliminary water duty: 50 m³/h against 12 m static lift, with estimated 5 m of friction loss and 2 m of minor (fitting) loss. Density 998 kg/m³, assumed pump efficiency 70%. Estimate the total head and hydraulic/shaft power, then note the suction check.
- 01TDH ≈ 12 + 5 + 2 = 19 m (velocity head negligible here)
- 02Q = 50 m³/h = 0.01389 m³/s
- 03P_hyd = 998 × 9.80665 × 0.01389 × 19 ≈ 2,583 W ≈ 2.58 kW
- 04P_shaft = 2.58 / 0.70 ≈ 3.69 kW
- 05Suction side: confirm NPSHa > NPSHr (use the NPSH Available calculator)
Preliminary TDH ≈ 19 m, shaft power ≈ 3.7 kW. Select against a vendor curve and confirm NPSHa margin before procurement.
Common mistakes
- •Sizing on static head only and ignoring friction and minor losses, which understates TDH.
- •Confusing pressure with head — the pump curve is in head; ΔP depends on density.
- •Skipping the NPSH available check, then discovering cavitation on commissioning.
- •Over-margining flow and head, which pushes the pump far left of its best efficiency point.
- •Using clean-water assumptions for slurry or viscous duties without correction.
When to use the calculator
Use the Total Dynamic Head calculator to assemble the system head from static elevation, pressure, friction, and minor losses; the Head ↔ Pressure and Pump Power calculators for the duty and power; the Pipe Head Loss, Darcy-Weisbach, and Minor Loss calculators for the individual loss terms; the NPSH Available calculator for the suction-side check; the Pump Affinity Laws calculator to reason about speed and impeller changes; and the Pump Specific Speed calculator for a preliminary impeller-type sanity check. The System Curve vs Pump Curve guide explains how these combine at the operating point, and the Low-Flow Pump Troubleshooting guide helps when a duty underperforms.
FAQ
What is the difference between system head and pump head?
Do I size on pressure or head?
Where does NPSH fit into sizing?
Is this enough to buy a pump?
Related calculators
- Head ↔ Pressure CalculatorInteractive calculator
- Pump Hydraulic Power CalculatorInteractive calculator
- Total Dynamic Head CalculatorInteractive calculator
- Pump Affinity Laws CalculatorInteractive calculator
- Pump Specific Speed CalculatorInteractive calculator
- NPSH Available CalculatorInteractive calculator
- Pipe Head Loss CalculatorInteractive calculator
- Darcy-Weisbach Pressure Drop CalculatorInteractive calculator
- Minor Loss / K-Value CalculatorInteractive calculator
Related conversions
Related guides
- What Is Pump Head?Engineering guide
- Pressure vs Head ExplainedEngineering guide
- Pump Affinity Laws ExplainedEngineering guide
- System Curve vs Pump CurveEngineering guide
- Low-Flow Pump TroubleshootingEngineering guide
- Slurry Pump Head SizingEngineering guide
- Fire Pump Head AS 2419 ReferenceEngineering reference
- Pipe Fitting K-Values ReferenceEngineering reference