半圆形断面临界水深的求解公式

半圆形断面临界水深是一个隐函数方程,不能直接求解,一般通过试算法或者圆形断面的近似公式求解,误差较大。通过引入无量纲临界水深参数,对半圆形断面临界水深的基本方程进行适当处理,拟合出了半圆形临界水深的求解公式。误差分析和应用举例表明,公式的相对误差较小,最大相对误差小于0.76%。该公式形式简捷、精度高,可为半圆形涵洞断面临界水深的求解提供参考。

Solution Formula for Critical Water Depth of Semi-circular Section

Generally,the critical water depth of a semi-circular section could be solved by the approximate formula used for a circular section,so the calculation error is large.Here,the solusion formula for the critical water depth of the semi-circular section is drawn up by leading the nondimensional critical depth parameter into the basic equation.It is showed by the application and analysis that the solusion formula is simple and accurate,and its maximum relative error is smaller than 0.76%,so it could provide ref...