标准Ⅱ型马蹄形断面水跃共轭水深的简化计算

Simplified calculation method of conjugate water depth of standardⅡtype of horseshoe cross section

研究了标准Ⅱ型马蹄形断面水跃共轭水深的一般计算方法和简化计算方法。根据标准Ⅱ型马蹄形断面的几何形状,按照分块计算面积和形心的方法,详细推导三种工况下断面面积和面积形心距水面距离的计算公式,根据水跃的一般方程,推导水跃共轭水深的一般计算方法,根据最小二乘法原理得到了水跃共轭水深的简化计算方法。给出了马蹄形断面面积和形心的计算公式,给出了水跃共轭水深的一般计算方法和简化计算方法。本研究给出的马蹄形断面水跃共轭水深的简化计算方法计算过程简单明了,物理概念清楚,容易掌握,计算精度完全满足工程设计要求。

The general computing method and simplified calculation method of conjugate water depth of standard Ⅱ type of horseshoe cross section in open channel are studied. According to the geometrical shape of horseshoe cross section and the computing method of area and centroid, the methods for calculating of sectional area and centroid in three kinds of working conditions arede- duced, the general methods for calculating of conjugate water depth are researched according to the general equation of hydraulic jump and the simplified methods for calculation are researched by using the least square method. The formulas of centroid and area of horseshoe cross section and the general computing method and simplified calculation method of the conjugate water depth are given. The simplified calculation method of the conjugate water depth is simple,clear in phys- ics concept and high accuracy which can meet the requirement of engineering design.