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Pump Sizing Calculator

Build the suction side, build the discharge side, get TDH and a recommended motor in one place. NPSH-available is the cavitation guard most quick calcs skip.

Last reviewed

Design point

Total Dynamic Head v 6.54 ft/s — Safe operating velocity
0 ft
In metres
0 m
Friction component
0 ft
Static component
0 ft
Hydraulic power
0 kW

Suction side

Pipe segments

  1. Fittings on this segment 3

    Fittings & valves

    Tap to add. Equivalent length and Σ K both update live and feed the friction calc.

    3 added Σ K 0.97 Σ L/D 41

    Elbows

    90° elbow Elbow 90° standard (threaded) K 0.75 · L/D 30
    1
    90° LR elbow Elbow 90° long radius K 0.45 · L/D 20
    0
    45° elbow Elbow 45° K 0.35 · L/D 16
    0
    90° mitred Elbow 90° mitred (welded segments) K 1.2 · L/D 60
    0

    Tees

    Tee (run) Tee — flow through run K 0.4 · L/D 20
    0
    Tee (branch) Tee — flow through branch K 1.8 · L/D 60
    0

    Valves

    Gate (open) Gate valve fully open K 0.17 · L/D 8
    1
    Gate (½ open) Gate valve half open K 4.5 · L/D 200
    0
    Globe (open) Globe valve fully open K 6 · L/D 340
    0
    Ball (open) Ball valve fully open K 0.05 · L/D 3
    0
    Check (swing) Check valve — swing K 2 · L/D 100
    0
    Check (lift) Check valve — lift K 12.5 · L/D 600
    0
    Butterfly Butterfly valve fully open K 0.7 · L/D 40
    0
    Plug (open) Plug valve fully open K 0.4 · L/D 18
    0
    Diaphragm Diaphragm valve fully open K 2.3 · L/D 115
    0
    Foot valve Foot valve with strainer (poppet disc) K 1.4 · L/D 75
    0
    Angle (open) Angle valve fully open K 2 · L/D 145
    0

    Transitions

    Expansion Sudden expansion (1:2) K 0.56 · L/D 28
    0
    Contraction Sudden contraction (2:1) K 0.34 · L/D 17
    0
    Reducer (ecc.) Eccentric reducer (suction-side, prevents air pocket) K 0.4 · L/D 18
    0
    Reducer Concentric reducer (gradual, 30° taper) K 0.2 · L/D 10
    0

    Entry / Exit

    Entrance (sharp) Pipe entrance — sharp edged K 0.5 · L/D 25
    0
    Entrance (round) Pipe entrance — rounded K 0.05 · L/D 3
    1
    Exit Pipe exit (to tank) K 1 · L/D 50
    0
Friction 1 ft v_peak 4.54 ft/s

Discharge side

Pipe segments

  1. Fittings on this segment 5

    Fittings & valves

    Tap to add. Equivalent length and Σ K both update live and feed the friction calc.

    5 added Σ K 4.42 Σ L/D 198

    Elbows

    90° elbow Elbow 90° standard (threaded) K 0.75 · L/D 30
    3
    90° LR elbow Elbow 90° long radius K 0.45 · L/D 20
    0
    45° elbow Elbow 45° K 0.35 · L/D 16
    0
    90° mitred Elbow 90° mitred (welded segments) K 1.2 · L/D 60
    0

    Tees

    Tee (run) Tee — flow through run K 0.4 · L/D 20
    0
    Tee (branch) Tee — flow through branch K 1.8 · L/D 60
    0

    Valves

    Gate (open) Gate valve fully open K 0.17 · L/D 8
    1
    Gate (½ open) Gate valve half open K 4.5 · L/D 200
    0
    Globe (open) Globe valve fully open K 6 · L/D 340
    0
    Ball (open) Ball valve fully open K 0.05 · L/D 3
    0
    Check (swing) Check valve — swing K 2 · L/D 100
    1
    Check (lift) Check valve — lift K 12.5 · L/D 600
    0
    Butterfly Butterfly valve fully open K 0.7 · L/D 40
    0
    Plug (open) Plug valve fully open K 0.4 · L/D 18
    0
    Diaphragm Diaphragm valve fully open K 2.3 · L/D 115
    0
    Foot valve Foot valve with strainer (poppet disc) K 1.4 · L/D 75
    0
    Angle (open) Angle valve fully open K 2 · L/D 145
    0

    Transitions

    Expansion Sudden expansion (1:2) K 0.56 · L/D 28
    0
    Contraction Sudden contraction (2:1) K 0.34 · L/D 17
    0
    Reducer (ecc.) Eccentric reducer (suction-side, prevents air pocket) K 0.4 · L/D 18
    0
    Reducer Concentric reducer (gradual, 30° taper) K 0.2 · L/D 10
    0

    Entry / Exit

    Entrance (sharp) Pipe entrance — sharp edged K 0.5 · L/D 25
    0
    Entrance (round) Pipe entrance — rounded K 0.05 · L/D 3
    0
    Exit Pipe exit (to tank) K 1 · L/D 50
    0
Friction 9.53 ft v_peak 6.54 ft/s

Motor sizing & energy

NEMA standard motor; energy cost based on shaft power and motor efficiency.

Shaft power
0.88kW
1.18 HP at pump shaft
Recommended motor
1.5HP
Next-up NEMA, calc 1.29 HP
Annual energy
1,919kWh
at η_m = 0.92
Annual energy cost
$269
per year

NPSH available — cavitation guard

Compare NPSH_a to the pump's NPSH_required. Margin should be at least 1 m / 3 ft.

NPSH available
27.23ft
8.3 m · OK if pump NPSH_r < this minus safety margin

Pump curve overlay — find your operating point

Paste a pump curve from the manufacturer's datasheet. We fit H = a − b·Q², draw the system curve from your static head and friction, and mark where they cross. Off-BEP operation wears bearings, oversizes motors, and burns electricity — this is the chart that catches it.

Shutoff head 78.51 ft Max flow (H = 0) 252 GPM Fit on 5 points
0448813217622126501835537088Flow (GPM)Head (ft)Pump curveSystem curveOperating point
Operating flow Q*
159.9GPM
Operating head H*
46.9ft
Hydraulic power
1.41kW
at the operating point

How this works

Total Dynamic Head: TDH = hstatic + hfriction + hpressure Hydraulic power: Phyd = ρ · g · Q · H Wire-to-water efficiency: η = ηp × ηm NPSH available: NPSHa = (Patm − Pvap) / (ρg) − hsuct,lift − hsuct,friction

Pump sizing is a head + flow problem. The system curve (TDH vs Q) intersects the pump curve at the operating point. Get TDH wrong and the pump runs off-BEP — wear, vibration, energy waste. The usual culprit is under-counted fittings on the discharge side; the counter here keeps that honest.

NPSH is the harder half. A pump that's been running fine for years can start cavitating when the supply tank drops, the fluid heats up, or someone closes a partly-open suction valve. The check here is the same one a vendor's selection software performs.

Centrifugal pump efficiency by size — typical at BEP
Small (≤5 HP)Medium (5-50 HP)Large (>50 HP)
Pump η_p55-65%65-75%75-85%
NEMA Premium motor η_m85-90%91-94%94-96%
Wire-to-water~50%~65%~80%

Common questions

What is TDH and why does it matter?
Total Dynamic Head — the head the pump must develop. It equals static lift plus friction losses plus discharge pressure (converted to head). Pump curves are plotted with TDH on the y-axis vs flow on the x-axis; you size the pump where its curve crosses the system curve at design flow.
How is NPSH-available calculated?
NPSH_a = (P_atm − P_vapor) / (ρg) − suction-lift − suction-friction. We use atmospheric pressure (101.325 kPa default), water vapor pressure (2.34 kPa @ 20 °C default — change for hot water!), and the suction-side losses computed above. The pump's NPSH_required must be less than NPSH_a or the pump will cavitate.
Why are pump and motor efficiencies separate?
The pump converts shaft power to fluid power (η_p, typically 50-80%). The motor converts electrical power to shaft power (η_m, typically 85-95%). Total wire-to-water efficiency is η_p × η_m. We expose them separately so you can model upgrades independently.
What does "next-up NEMA size" mean?
Standard motor sizes in HP. We pick the smallest standard that meets the calculated motor power. Sizing exactly at the calculated HP is an anti-pattern: motor service factor and starting current both want some headroom.