Formula
- Re = ρ V D / μ
- h_f = f × (L/D) × V²/(2g)
- ΔP = ρ g h_f
- f from Swamee-Jain (turbulent) or 64/Re (laminar)
About this calculator
Part of our Thermal & Fluids Calculators collection. Heat transfer, pipe flow, Reynolds number, and thermodynamic cycles.
How it works
Pressure drop follows the Darcy-Weisbach equation with velocity from flow rate and pipe area. Friction factor uses laminar 64/Re or a turbulent approximation based on Reynolds number and relative roughness. Head loss converts pressure drop to equivalent fluid column height.
Enter your values in the inputs above and click CALCULATE. Results appear on the right without a page reload. No login and no server upload.
Worked example
50 mm pipe, 100 m, 25 m³/h water, ε=0.15 mm.
- V = 3.54 m/s, Re ≈ 176 500 (turbulent)
- f ≈ 0.027 (Swamee-Jain)
- Head loss ≈ 34.6 m → ΔP ≈ 339 kPa
Result: Pressure drop 339 kPa, hydraulic power loss ~2.35 kW.
When to use
- Estimating pump head for piping systems
- Checking velocity and Reynolds number in pipe design
- Comparing roughness effects on friction factor
Limitations
- Straight pipe only; no fittings, valves, or entrance losses
- Swamee-Jain correlation for turbulent flow
- Assumes incompressible single-phase flow
FAQ
- Darcy vs Fanning friction factor?
- This calculator uses Darcy friction factor (f_D). Fanning f_F = f_D / 4.
- Typical roughness values?
- Drawn copper ~0.0015 mm, galvanized steel ~0.15 mm, cast iron ~0.26 mm, concrete ~0.3–3 mm.
Privacy and accuracy
Every calculation runs locally in your browser. Your design data never leaves your device. Results are intended for preliminary engineering work. Always verify critical designs with qualified review and applicable standards before production use.
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