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Using only a limited number of computationally expensive functions, we show away how to construct accurate and computationally efficient approximations ofthe Colebrook equation for flow friction. The presented approximations arebased on the asymptotic series expansion of the Wright Omega-function andsymbolic regression. The results are verified with 8 million of Quasi-MonteCarlo points covering the domain of interest for engineers. In comparison withthe built-in wrightOmega feature of Matlab R2016a, the herein introducedrelated approximations of the Wright Omega-function significantly acceleratethe computation. With only two logarithms and several basic arithmeticoperations used, the presented approximations are not only computationallyefficient but also extremely accurate. The maximal relative error of the mostpromising approximation which is given in the form suitable for engineers useis limited to 0.0012%, while for a little bit more complex variant is limitedto 0.000024%.

Review of new flow friction equations: Constructing Colebrook explicit correlations accurately