August 2008


Comparison of the iterative approximations of the Colebrook-White equation

Here's a review of other formulas and a mathematically exact formulation that is valid over the entire range of Re values

Goudar, C. T., Bayer HealthCare; Sonnad, J. R., University of Oklahoma Health Sciences Center

Friction factor estimation is a key component of piping system design and the Colebrook-White equation is typically the method of choice for computing turbulent flow friction factor in rough pipes:  + It relates the friction factor, f, implicitly to the pipe roughness, /D, and the Reynolds number, Re. Because of the implicit nature of Eq. 1, graphical methods were originally proposed for f estimation1 and are still used today. While the visual representation in a graphical correlation is certainly appealing, accurate f determination is difficult and this approach is not suited for most current computer-based piping system design projects. For computer implementation, iterative numeri

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