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Pipe flow velocity and pressure drop calculator

Flow velocity, Reynolds number, friction factor and pressure drop in a straight pipe (Darcy–Weisbach), plus the inside diameter needed for a target velocity.

Flow velocity
–m/s
Pressure drop
–bar
Pressure drop per metre
–Pa/m
Reynolds number
–
Friction factor (λ)
–
Inside diameter for target velocity
–mm

How it works

The Darcy–Weisbach equation gives the frictional pressure loss of a straight pipe section. The friction factor λ is 64/Re for laminar flow (Re < 2300); for turbulent flow it is estimated with the Haaland equation, which matches the Colebrook equation to within about 2%.

Formula

v = Q / A   Re = v·D / ν
λ: 64/Re (laminar), Haaland (turbulent)
Δp = λ · (L/D) · ρ·v²/2

Water at 20 °C: ν ≈ 1.0 mm²/s, ρ ≈ 998 kg/m³. New steel pipe has a roughness of about 0.045 mm, plastic pipe 0.0015–0.007 mm. Typical velocities are 1–2 m/s for water lines and 0.5–1 m/s on pump suction. Losses in fittings and valves are not included.

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