明渠渐变缓流水面线计算的迭代法

The calculation of water-surface profile by means of alternate method

由明渠渐变流能量方程,经过适当变形,推导出迭代公式,利用数学分析确定该方法的收敛条件,也是迭代法的应用条件—棱柱体与非棱柱体明渠缓流。迭代公式适用范围较广便于自动计算。通过实例说明使用方法。

A large number of water-surface profiles of steady flow in open channels are often calculated in city water supply project and drainage works. But the current methods are inefficient and are not convenient to program. The calculation formula is ascertain by analyzing fundamentals of water profile. By means of mathematical analysis the scope of application is subcritical flow in prismatic channels or non-prismatic channel. At the last, the application this method are illustrated by example.