扩散型梯形翼墙消力池最不利消能工况计算研究

针对目前消能计算大多适用于矩形断面情况,根据水力学理论、数学函数理论及无量纲原理对扩散型梯形翼墙水闸最不利消能工况进行研究,推导出扩散型梯形断面相对收缩水深、相对跃后水深的解析计算公式。通过Matlab软件数值分析及数学推导给出了受潮位影响的沿海挡潮排涝闸消力池池深极值、水跃长度极值的简捷计算公式,并通过工程实例计算比较,该解析计算式方便简捷、精度可靠。

Calculation of Energy Dissipation for the Most Unfavorable Conditions of Stilling Basin with Diffusing Trapezoidal Wing Wall

Most energy dissipation formula are applicable to rectangular wing wall sections. In view of this, the most unfavorable condition of energy dissipation for diffusing trapezoidal wing of sluice wall was investigated according the hydraulics theory, the mathematical function theory and the dimensionless principle. Analytical formulas of the relative contracted water depth and the relative water depth after jump were deduced. By using Matlab software for numerical analysis and mathematical derivation, simple formulas were given to calculate the extremes of pool depth and water jump length of the stilling basin of coastal tidal drainage sluice influenced by tide level. Through engi-neering example calculation, the analytic formulas are proved to be convenient with high precision and reliability.