An Accurate and Computationally Efficient Explicit Friction Factor Model
An Accurate and Computationally Efficient Explicit Friction Factor Model
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准确且计算高效的显式摩擦系数模型
DOI：
10.4236/aces.2016.63024
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
S. Alabi
中科院分区：
文献类型：
--
作者：
U. H. Offor;S. Alabi
隐式Colebrook方程已成为估计完全发展的紊流状态下管道摩擦系数的标准。Colebrook方程的几个备选显式模型已经被提出。迄今为止，大多数精确的显式模型都是具有三个对数函数的模型，但它们比Colebrook方程需要更多的计算时间。本文提出了一种新的只有两个对数函数的显式非线性回归模型。与现有的高精度模型相比，新模型的最小平均相对误差为0.0025%，最大相对误差为0.0664%。此外，它比Colebrook方程所需的计算时间要少得多。由此得出结论，新的显式模型在充分发展的湍流流型中提供了精度和相对计算效率之间的良好权衡。
The implicit Colebrook equation has been the standard for estimating pipe friction factor in a fully developed turbulent regime. Several alternative explicit models to the Colebrook equation have been proposed. To date, most of the accurate explicit models have been those with three logarithmic functions, but they require more computational time than the Colebrook equation. In this study, a new explicit non-linear regression model which has only two logarithmic functions is developed. The new model, when compared with the existing extremely accurate models, gives rise to the least average and maximum relative errors of 0.0025% and 0.0664%, respectively. Moreover, it requires far less computational time than the Colebrook equation. It is therefore concluded that the new explicit model provides a good trade-off between accuracy and relative computational efficiency for pipe friction factor estimation in the fully developed turbulent flow regime.