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Friction Loss

Water-pipe friction loss by Hazen-Williams or by Darcy-Weisbach with the Colebrook friction factor.

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No published worked example is on file for this calculation. It is checked against a hand-worked derivation of its method and an independent reference test.

Details, formula, and sources

ScopeBoth are for water (the Darcy path uses water at 60 F and smooth pipe), not gas.

Formula or tableHazen-Williams head loss (feet of head): hL = 10.44 × L × Q^1.852 / (C^1.852 × D^4.87) with L in ft (water; English units; the NFPA-13 4.52 coefficient gives psi, feet = psi × 2.307). Darcy-Weisbach with Colebrook-White friction factor uses water properties at 60 °F.

Source and editionHazen-Williams (AWWA M11, 5th ed., by name). Darcy-Weisbach: classical fluid mechanics.

Free accessAWWA M11 licensed; principles free at engineering OCW. NIST fluid-property tables free at nist.gov.

What governsEstimate. AHJ and licensed plumber / gas fitter govern. Verify against the IPC / IFGC edition adopted in your jurisdiction.

API field namesmethod, material, nominal_size, length_ft, flow_gpm, headLoss_ft, pressureLoss_psi, velocity_ft_s

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