紊流阻力系数的柯列勃洛克公式迭代计算的收敛区间研究

计算工业管道紊流阻力系数的柯列勃洛克公式是以隐函数形式给出的，不能由此公式直接计算出阻力系数。目前这个公式的使用方法是采用图解法，但是图解法精度差而且不能用计算机进行计算。完全可以使用计算机对柯氏公式进行迭代求解，但首先必须解决迭代计算的收敛区间问题，这个问题目前尚无明确的结论。为解决此问题，研究了对柯氏公式进行迭代计算的收敛性，得出了收敛区间．并通过算例验证了所得结论的正确性。此项研究结果为用计算机进行紊流阻力系数的计算提供了可靠的理论依据。

The Colebrook＇s formula which was used to calculate turbulent flow resistance coefficient of industrial pipeline was given in the forms of implicit function,the flow resistance coefficient could not directly be calculated by means of this formula. This formula was used by graphic method. But the precision of the graphic method was poor and computer cannot be used to calculating the resistance coefficient. At present,computer can be used to iteratively solving Colebrook＇s formula,but first the problem about the convergence interval of iterative calculation must be solved. So far there has no definite conclusion about the problem,in order to solve this problem the iteration convergence for Colebrook＇s formula is researched and the interval of convergence is obtained. The correctness of the conclusion is proved through the examples. The result of this research provides a reliable theoretical basis for using computer to calculate the turbulent flow resistance coefficient.

柯列勃洛克公式，迭代计算，收敛区间，colebrook＇s formula，iterative calculation，interval of convergence。

紊流阻力系数的柯列勃洛克公式迭代计算的收敛区间研究。