Accurate Explicit Equation for Friction Factor

by Akalank K. Jain,

Serial Information: Journal of the Hydraulics Division, 1976, Vol. 102, Issue 5, Pg. 674-677

Document Type: Journal Paper


The solution of pipe flow problems encountered in engineering practice requires an intermediate step of computation of friction factor. The friction factor of commercial pipes is described by a semi-empirical equation developed by Colebrook. This equation that expresses the friction factor as a function of relative roughness and Reynolds number is an implicit one requiring a trial-and-error procedure for its determination. Wood has pointed out obvious disadvantages of an implicit relationship and recognizing the necessity of an explicit equation proposed one to replace the implicit equation for friction factor. It has, however, been possible to develop a simple and more accurate explicit equation for friction factor, based on the Colebrook-White formula, and is presented herein.

Subject Headings: Friction | Pipelines | Pipe flow | Engineering profession | Computing in civil engineering | Hydraulic roughness | Reynolds number | Wood

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