Will the hose restrict your machine?
Compare pressure losses for several internal diameters. Quick couplings can matter more than length.
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How we calculate
Method: Darcy–Weisbach, isothermal compressible gas: p₂² = p₁² − (λL/D + ΣK) ṁ²RT/A². λ: 64/Re for laminar flow, Colebrook for turbulent flow; the conservatively higher value in transition. Smooth-pipe roughness of 0.0015 mm and steel roughness of 0.045 mm are indicative, not material guarantees. Viscosity follows Sutherland's relation. Hose: 20 °C, assumed smooth internal surface of 0.0015 mm. The comparison of 13, 19, 25, 32 and 38 mm is geometric, not confirmation of availability.
Assumptions and limitations: Dry air, steady flow, constant temperature, no elevation difference. Validity is limited to a pressure drop of 10% of absolute inlet pressure and velocity up to 20 m/s. Does not model networks or transients. The result is the internal diameter, not DN or a commercial size. For final selection, verify the characteristics of the hose and couplings with the supplier.
Method references- CAGI Compressed Air & Gas Handbook, chapter 4, 2021 – system design, storage and pressure losses.
- Spirax Sarco: Pipes and Pipe Sizing – Darcy–Weisbach; Colebrook equation for friction resistance.
Method version 1.0. Standard references verified in the ISO catalogue; the physical balances are not calculations prescribed by ISO. Before final design, we will verify actual operating and catalogue data.