悬链线形渠道正常水深与临界水深的计算方法

Calculation Method for Normal Depth and Critical Depth of Catenary Channel

基于悬链线形渠道断面几何特点,根据均匀流基本方程推导出了悬链线形渠道正常水深的直接计算公式,并根据临界流方程,通过适当的数学变换,得到了计算悬链线形渠道临界水深的无量纲关系式,从而获得了两种水深的计算方法。采用Matlab语言编程对某悬链线形渠道断面临界水深的计算结果表明,该计算方法简单、结果精确,便于在实际工程中推广应用。

Based on the geometric features of catenary channel and the basic equation of uniform flow,the calculation formula of normal depth for catenary channel is deduced in the paper.And then,the dimensionless calculation formula of critical depth for catenary channel is developed in terms of the basic equation of critical flow and appropriate mathematical transformation.Therefore,both the calculation methods of normal depth and critical depth are obtained.Matlab language is used to program and calculate the critical depth of a channel,the results show that the calculation method is simple with high accurate,which is quite convenient for practical engineering application.