圆形断面正常水深计算方法的进一步简化

The further predigestion of the normal water depth calculation of Circular cross-section

圆形断面均匀流水深计算需完成隐含的高次三角函数求解,无法完成直接获解。为解决传统算法及近似算法存在的计算过程繁复或精度不高等问题,通过对其均匀流水深求解方程进行数学变换,采用优化拟合的方法,以标准剩余差最小为目标函数,经拟合获得了计算较为简捷、成果最大相对误差小于0.44%的近似公式,具有一定的实用推广意义。

Uniform flow depth calculation of circular cross-section need to completely solve the implied trigonometric functions,it can not be get the direct solution. In order to solve the problem of computational complexity of traditional algorithms and approximation algorithms exist, or accuracy is not high, the uniform flow depth equation is transformated by mathematic, with optimization fitting method, taking a standard residu-al difference as a minimum objective function; the approximate formula was obtained by fitting, which calcula-tion is relatively simple, the results the maximum relative error of the results less than 0.44%. it has some practical significance of promotion.