扩散型梯形断面跃后共轭水深的解析计算研究

Calculation of Energy Dissipation for Stilling Basin with Diffusion Trapezoidal Wing Wall Section

针对现有水闸消能计算公式只适用于矩形断面的不足,而浙江沿海地区挡潮排涝闸已创新性地采用了梯形断面,水闸规范(SL-265-2001)消能公式需补充完善。根据水力学理论和数学理论对扩散型梯形翼墙水闸水力消能计算进行了研究,推导出了相对收缩水深的解析计算式和扩散型梯形翼墙消力池的水跃共轭水深基本方程,并利用数学方程理论和因式分解法给出了无扩散时梯形断面跃后水深的一元四次方程公式解,进而给出了梯形断面跃后水深通用简捷计算公式,并通过Matlab软件数值分析,认为该跃后水深通用算式精度较高。

Calculated for the existing sluice energy dissipation formula applies only to inadequate rectangular cross sections, while coastal areas of Zhejiang tidal drainage sluice make innovative use of trapezoidal cross sections, energy dissipation formula of sluice specification （SL-265-2001） need to supplement. According to the theory of hydraulics and mathematical derivation of the diffusion type trapezoidal wing wall, hydraulic sluice energy dissipation calculation is studied. The relative contraction of depth analytical for- mula and diffusion trapezoidal wing wall stilling basin water conjugate depth of the basic equations is deduced. Exact analytical for- mula without diffusion depth of trapezoidal cross-section after jump is given. And then the simple formula of depth after the jump GM-shaped section is given.