Flow resistance of a compressed-air supply hose

Pressure drop along a compressed-air supply hose/line for a given flow rate, length and inner diameter — for sizing the air supply feeding an aerostatic bearing.

✓ validated against legacyoriginal: /calculators/pipeflow_air.htm
Flow resistance of a compressed-air supply hose — original diagram from /calculators/pipeflow_air.htm
Pressure drop, Δp0.1

No login lock. Unit selectors for flow rate and both pressures reproduce the legacy dropdowns exactly (their option values are the code’s own unit indices/exponents, not relabeled). The reference nomogram above is the original, in Dutch (never redrawn, to avoid the risk of a transcription error in a numerical chart) — translated here for reference: "Leidinglengte, meter" = pipe length, m; "Inwendige diameter van de leiding, mm" = internal line diameter, mm; "Drukval in de leiding, bar" = pressure drop in the line, bar; "Werkdruk, bar (overdruk)" = working pressure, bar (gauge); "Luchtstroom, l/s (vrije lucht)" = air flow, l/s (free air). Caption: "Nomogram voor leidingberekeningen. Leidingdiameter 3,2-60 mm, luchtstroom 1-100 l/s" = nomogram for line-sizing; line diameter 3.2–60mm, air flow 1–100 l/s.

Method & references

  • Empirical compressible-flow pressure-drop correlation for air in a supply hose/line: Δp ∝ Q^1.85 · L / d⁵ / p₁.

The computation is a literal port of the original client-side JavaScript from /calculators/pipeflow_air.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.

Flow resistance of a compressed-air supply hose — Engineering ABC