圆形断面水跃共轭水深的迭代计算方法

The iterative calculation method of the hydraulic jump conjugate water depth of Circular cross-section

基于圆形过水断面的几何特点与棱柱体水平明渠的水跃方程,推导出圆形断面的水跃方程。通过数学变换,得到了圆形断面水跃共轭水深计算公式。针对具体算例,采用图解法与迭代计算相结合的办法对圆形断面的共轭水深进行了求解。算例表明,该计算方法简单、结果精确,便于推广应用。

Based on the hydraulic jump equations of the geometric characteristics of the circular cross section and the prism level channels,the hydraulic jump equation of a circular cross-section has been derived;The formula of the hydraulic jump conjugate water depth of circular cross-section was obtained.For specific example,the graphical method was used solving the conjugate depth of circular cross-section combined with iterative calculation.The result shows that the calculation method is simple,accurate,and easy application.