W solutions of the CW equation for flow friction

被引:36
作者
Brkic, Dejan [1 ]
机构
[1] Russian Acad Sci, Belgrade 11050, Serbia
关键词
Colebrook-White equation; Lambert W-function; Turbulent flow friction; Hydraulic resistance; Analytical approximations; COLEBROOK-WHITE EQUATION; TURBULENT-FLOW; APPROXIMATIONS;
D O I
10.1016/j.aml.2011.03.014
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The empirical Colebrook-White (CW) equation belongs to the group of transcendental functions. The CW function is used for the determination of hydraulic resistances associated with fluid flow through pipes, flow of rivers, etc. Since the CW equation is implicit in fluid flow friction factor, it has to be approximately solved using iterative procedure or using some of the approximate explicit formulas developed by many authors. Alternate mathematical equivalents to the original expression of the CW equation, but now in the explicit form developed using the Lambert W-function, are shown (with related solutions). The W-function is also transcendental, but it is used more general compared with the CW function. Hence, the solution to the W-function developed by mathematicians can be used effectively for the CW function which is of interest only for hydraulics. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1379 / 1383
页数:5
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