Explicit representation of the implicit Colebrook–White equation

P. Rollmann; K. Spindler

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Explicit representation of the implicit Colebrook–White equation

机译：隐式Colebrook-White方程的显式表示

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It is shown that the Colebrook–White equation1/λ=?2lg[2.51/Reλ+?/3.71D]can be solved analytically for the friction factorλ. The solution contains two infinite sums. For given Reynolds numbersReand relative roughnesses?/D, one can create an own approximation with the required accuracy by adding a finite number of summands. The computing time of both the iterative calculation and several approximations is being compared. In all cases, the approximation is much faster than the iteration. Two examples for practical applications are given.

机译：结果表明，Colebrook-White方程1 /λ=？2lg [2.51 /Reλ+？/ 3.71D]可以解析为摩擦系数λ。该解决方案包含两个无限和。对于给定的雷诺数Reand相对粗糙度？/ D，可以通过添加有限数量的求和来创建具有所需精度的自己的近似值。比较了迭代计算和几种近似的计算时间。在所有情况下，近似值都比迭代快得多。给出了两个实际应用的例子。

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《Case Studies in Thermal Engineering》 |2015年第2012期|共7页
作者
P. Rollmann; K. Spindler;
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中图分类石油、天然气工业;
关键词
Friction factorDrag coefficientAnalytical solutionExplicitColebrookWhite;

机译：摩擦系数阻力系数解析解明确的Colebrook White;

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7. Explicit representation of the implicit Colebrook–White equation [O] . P. Rollmann, K. Spindler 2015

机译：隐式Colebrook - White方程的显式表示

Explicit representation of the implicit Colebrook–White equation

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