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根据明渠恒定非均匀流理论,按照分块计算面积的方法,详细推导了六圆弧蛋形断面临界水深和收缩断面水深的迭代计算公式,并根据优化拟合研究了临界水深的简化计算方法.提出了4种工况下临界水深和3种工况下收缩断面水深的迭代计算公式,给出了已知流量条件下相对临界水深与相对流量的关系和已知临界水深条件下相对临界水深与相对断面面积的关系,得出了两种简化计算公式.通过算例验证了临界水深两种简化公式的正确性,其最大误差分别为1.6%和0.8%,满足工程设计需求.
According to the theory of constant nonuniform flow in open channels, an iterative formula for calculating the critical water depth and the water depth of contracted sections of the arc with six circular arcs is deduced in detail according to the method of calculating the area by block. The simplified calculation method of critical depth is studied based on the optimization fitting. The formulas of the critical depth and the water depth of shrinkage section in three conditions are proposed. The relationship between the relative critical depth and the relative flow under the known flow conditions and the relative critical depth and Two simplified formulas are obtained, and the correctness of the simplified formula of critical water depth is verified by an example. The maximum error of them is 1.6% and 0.8% respectively, which meets the engineering design requirements.