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Solve pipe flow problems directly
C.P. Verma
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Abstract
A full-range friction-factor equation with specific sets of derived coefficients avoids trial-and-error in the computer-aided determination of the pressure drop, flow rate, or pipe diameter for the laminar, transitional, and turbulent regimes. The friction factor in this treatment, equal to one-half of the Fanning friction factor or to one-eighth of the Darcy friction factor, can be used in dry gas transmission calculations, since pipeline flow rates are directly proportional to the transmission factor, which equals the reciprocal of the square root of the friction factor. The values of the friction factor obtained by the new treatment agree well with the values obtained by Churchill's full-range equation and by other procedures. Examples show how to determine the pressure gradient for a specified flow rate and pipe diameter, the flow rate for a specified pressure gradient and pipe diameter, and the pipe diameter for a specified pressure gradient and flow rate.