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Pumps & Rotating Equipment

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.

TypeEngineering guide — concept explainer

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

Total dynamic head (preliminary)
TDH = H_static + H_friction + H_minor + H_velocity
Head ↔ pressure
ΔP = ρ × g × h
Hydraulic power
P_hyd = ρ × g × Q × h ; P_shaft = P_hyd / η
Suction-side check
NPSHa = Ha + Hs − Hv − Hf (must exceed NPSHr)

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

DutyQ, fluidSystem headstatic + lossesNPSHa checksuction sidePowerP = ρgQh/ηVendor curveselectionPreliminary system-side sizing — the pump curve comes from the vendor

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.

  1. 01TDH ≈ 12 + 5 + 2 = 19 m (velocity head negligible here)
  2. 02Q = 50 m³/h = 0.01389 m³/s
  3. 03P_hyd = 998 × 9.80665 × 0.01389 × 19 ≈ 2,583 W ≈ 2.58 kW
  4. 04P_shaft = 2.58 / 0.70 ≈ 3.69 kW
  5. 05Suction side: confirm NPSHa > NPSHr (use the NPSH Available calculator)
Result

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?
System head (TDH) is what your piping and elevation demand at a given flow — it rises as flow rises. Pump head is what the pump delivers at that flow, read from its curve. The duty point is where the two intersect.
Do I size on pressure or head?
Size on head. A centrifugal pump curve is plotted in head, which is density-independent. Convert to pressure (ΔP = ρgh) only when you need the pressure value for a specific fluid.
Where does NPSH fit into sizing?
NPSH available is the suction-side viability check. After you have a candidate duty and pump, confirm NPSHa exceeds the pump NPSHr (with margin) using the NPSH Available calculator, or the suction arrangement must be changed.
Is this enough to buy a pump?
No. This is preliminary system-side sizing. Final selection requires the vendor pump curve, NPSHr, materials for the service, site conditions, operating cases, and qualified engineering review.

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