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Research Papers: Fundamental Issues and Canonical Flows

A Novel Explicit Equation for Friction Factor in Smooth and Rough Pipes

[+] Author and Article Information
Atakan Avci

Department of Mechanical Engineering, Uludag University, 16059 Bursa, Turkeyatakan@uludag.edu.tr

Irfan Karagoz

Department of Mechanical Engineering, Uludag University, 16059 Bursa, Turkeykaragoz@uludag.edu.tr

J. Fluids Eng 131(6), 061203 (May 13, 2009) (4 pages) doi:10.1115/1.3129132 History: Received July 07, 2008; Revised March 24, 2009; Published May 13, 2009

In this paper, we propose a novel explicit equation for friction factor, which is valid for both smooth and rough wall turbulent flows in pipes and channels. The form of the proposed equation is based on a new logarithmic velocity profile and the model constants are obtained by using the experimental data available in the literature. The proposed equation gives the friction factor explicitly as a function of Reynolds number and relative roughness. The results indicate that the present model gives a very good prediction of the friction factor and can reproduce the Colebrook equation and its Moody plot. Therefore, the new approximation for the friction factor provides a rational, accurate, and practically useful method over the entire range of the Moody chart in terms of Reynolds number and relative roughness.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 1

Comparison of the present friction factor with literature values over an intermediate range of Reynolds numbers

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Figure 2

Consistency check of the present formula over a wide range of Reynolds numbers

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Figure 3

Comparison of friction factor calculated from Eq. 17 (—) with the Princeton superpipe data and (●●●) and experimental data (×, ◇, ◻) (23)

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