Pump Flow Rate Calculator
ANA›Life Services Authority›National Calculator Authority›Pump Flow Rate Calculator
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Pump Flow Rate Calculator
Calculate the volumetric flow rate of a pump based on input power, pump efficiency, fluid density, and total head.
Input Power (W)
Pump Efficiency (%)
Fluid Density (kg/m³)
Total Head (m)
Calculate Fill in all fields and click Calculate.
function pumCalc() { const resultDiv = document.getElementById('pum-result');
const P = parseFloat(document.getElementById('pum-power').value); const eta = parseFloat(document.getElementById('pum-efficiency').value); const rho = parseFloat(document.getElementById('pum-density').value); const H = parseFloat(document.getElementById('pum-head').value); const g = 9.80665; // m/s²
// --- Validation --- if (isNaN(P) || isNaN(eta) || isNaN(rho) || isNaN(H)) { resultDiv.innerHTML = 'Please enter valid numbers in all fields.'; return; } if (P Input Power must be greater than 0 W.'; return; } if (eta 100) { resultDiv.innerHTML = 'Efficiency must be between 0.1% and 100%.'; return; } if (rho Fluid Density must be greater than 0 kg/m³.'; return; } if (H Total Head must be greater than 0 m.'; return; }
// --- Formula --- // Q = (P × η) / (ρ × g × H) const etaFrac = eta / 100.0; const Q_m3s = (P * etaFrac) / (rho * g * H); // m³/s const Q_lps = Q_m3s * 1000; // L/s const Q_lpm = Q_lps * 60; // L/min const Q_m3h = Q_m3s * 3600; // m³/h const Q_gpm = Q_m3s * 264.172; // US gal/min
// Hydraulic power delivered to fluid const P_hyd = rho * g * H * Q_m3s; // W const P_hyd_kW = P_hyd / 1000;
resultDiv.innerHTML = 'Results' + 'Flow Rate: ' + Q_m3s.toExponential(4) + ' m³/s' + 'Flow Rate: ' + Q_lps.toFixed(4) + ' L/s' + 'Flow Rate: ' + Q_lpm.toFixed(3) + ' L/min' + 'Flow Rate: ' + Q_m3h.toFixed(4) + ' m³/h' + 'Flow Rate: ' + Q_gpm.toFixed(3) + ' US gal/min' + '' + 'Hydraulic Power (fluid): ' + P_hyd_kW.toFixed(4) + ' kW' + 'Power Loss (friction/heat): ' + ((P - P_hyd) / 1000).toFixed(4) + ' kW'; }
#### Formula
Q = (P × η) / (ρ × g × H)
- Q — Volumetric flow rate (m³/s)
- P — Shaft input power (W)
- η — Overall pump efficiency (dimensionless, 0–1)
- ρ — Fluid density (kg/m³)
- g — Gravitational acceleration = 9.80665 m/s²
- H — Total dynamic head (m)
Rearranged from the pump power equation: P = (ρ × g × H × Q) / η
#### Assumptions & References
- Efficiency (η) is the overall pump efficiency, combining hydraulic, volumetric, and mechanical losses.
- Reference: Munson, Young & Okiishi, Fundamentals of Fluid Mechanics, 8th ed., §14.2.
- Reference: Kaplan & Sadik, Pump Handbook, 4th ed., McGraw-Hill.
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