Pneumatics

Pressure Drop in Compressed Air Hoses

Calculate pressure drop and flow capacity of a compressed air hose using the Darcy-Weisbach equation. Determines whether your hose is sized correctly.

Units:
in LinkedIn
💡Keep pressure drop in connection hoses below 0.3 bar. A 6mm bore hose at 3 metres already limits flow significantly. Each standard fitting (elbow, T-piece, quick connector) adds equivalent hose length: quick connector ≈ 0.2–0.5m equivalent.
ΔP [bar] = λ × (L/D) × (ρ × v²/2) / 100,000 [Darcy-Weisbach]
ΔP = f(Q, D, L, v) P1 P2
Input
Hose internal diameter iInternal bore diameter of the compressed air hose in mm. Standard sizes: 3, 4, 6, 8, 10, 12, 16 mm.
mm
Hose length iTotal hose length in metres. Add equivalent lengths for fittings: elbow ≈ 0.3–0.8m, quick connector ≈ 0.2–0.5m, T-piece ≈ 0.5–1.5m.
m
Supply pressure P1 iGauge pressure at the inlet (supply side) of the hose in bar.
bar
Required flow iRequired flow rate through the hose in normal-litres per minute at the specified supply pressure.
nl/min
Result
Air velocity in hose [m/s]
Reynolds number Re
Pressure drop ΔP [bar]
Pressure at hose outlet P2 [bar]
Assessment
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