收缩断面弗劳德数分段的挖深式消力池深度显式计算OA

To address the low efficiency and cumbersome procedures associated with the traditional trial-and-error and iterative methods for determining the depth of dredged-type stilling basins,this study is based on the fundamental theory of hydraulic calculations for such basins.Key dimensionless parameters are introduced,and a segmented classification is conducted according to the froude number at the contracted section.By comprehensively applying identity transformations and function approximation theory,the original implicit equations are transformed and simplified,leading to the derivation of an explicit formula that enables direct calculation of the stilling basin depth.Within the typical range of hydraulic parameter variations,the maximum relative errors between the results obtained from the explicit formula and those from engineering case analyses are only 0.12%for the flow depth at the contracted section and 0.08%for the post-jump depth,respectively.The results indicated that the proposed explicit formula provided a convenient and accurate method for the design of dredged-type stilling basin,significantly improving design efficiency.