Accurate and Efficient Explicit Approximations of the Colebrook Flow Friction Equation Based on the Wright ω-Function: Reply to the Discussion by Majid Niazkar

Pavel Praks and Dejan Brkić
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Pavel Praks: IT4Innovations, VŠB-Technical University of Ostrava, 708 00 Ostrava, Czech Republic
Dejan Brkić: IT4Innovations, VŠB-Technical University of Ostrava, 708 00 Ostrava, Czech Republic

Mathematics, 2020, vol. 8, issue 5, 1-6

Abstract: In this reply, we present updated approximations to the Colebrook equation for flow friction. The equations are equally computational simple, but with increased accuracy thanks to the optimization procedure, which was proposed by the discusser, Dr. Majid Niazkar. Our large-scale quasi-Monte Carlo verifications confirm that the here presented novel optimized numerical parameters further significantly increase accuracy of the estimated flow friction factor.

Keywords: Colebrook equation; hydraulic resistance; Lambert W-function; Wright ω-function; explicit approximations; computational burden; turbulent flow; friction factor (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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