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New Explicit Reformulation of the Colebrook-White Equation

Yuan Weimin (SINOPEC Gas Company Guangxi Liquefied Natural Gas Engineering Project Management Department, Beihai,Guangxi,536000,China)  
Colebrook- White equation is commonly used for fluid friction factor calculation and it is an implicit equation of friction factor f and a great deal of time and effort is needed to apply it in actual calculation. Applied is such mathematical software in order to solve this equation as MATLAB,Mathematica and Maple. However,results obtained by the equation can not be applied in engineering calculation. Studied is numerical method,proposed is a newiteration formula,and a new explicit Colebrook- White formula is derived from it and the new one is suitable to all Reynolds numbers. Comparative analysis shows that the newformula has such advantages as short calculation time,high accuracy and easy application.
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