一种新的圆形过水断面正常水深近似计算公式

为了给工程设计提供更为简捷、通用且有较高精度的圆形过水断面正常水深的计算公式,首先引入无量纲正常水深参数并对圆形过水断面正常水深的基本方程进行恒等变形,然后根据优化拟合原理对恒等变形公式进行分析处理,从而导出了一种新的圆形过水断面水深近似计算公式.误差分析及实例计算结果表明,该近似计算公式形式简单,适用范围广,计算精度高,工程常用范围内其正常水深计算的最大相对误差小于0.74%.

New approximate formula for circular cross section of normal depth

In order to provide simple, universal and high-precision formulas for circular cross sections of normal depth for the design of projects, dimensionless normal-depth parameters are introduced. The fundamental equations for circular cross sections of normal depth were identically transformed, and then the transformed equations were analyzed and treated based on the optimization and fitting principles. Accordingly, a new approximate formula for circular cross sections of normal depth was derived. The error analyses and the calculated results of engineering cases show that the proposed formula has a simple form, a wide application range, and high precision. The maximum relative error for the calculation of normal water depth is less than 0.74% for practical projects.