摘要
Saint-venant方程组经特征变换后得到特征线方程组,即不变量形式。本文对椭圆形断面不变量中的被积函数用级数展开再积分,得到了Riemann不变量的初等表达式,导出了溃坝波的解析式。并给出了求解无因次量V_(max)/gA_0/B_0^(1/2)、Q_(max)/A_0g·A_0/B_0^(1/2)、ω的辅助图。本文的方法可用来预报椭圆形断面溃坝洪水波问题。
Through Characteristic transformation, Saint-venant Equations are reduced to the equations of characteristic lines expressed by Riemann invariants. Expanding integral function of Riemann invariants for the case of elliptic cross-section in Taylor's series and integrating it, the elementary function expression of Riemann invariants is obtained, and Ritter's solution of Dam-breaking Wave is further obtained The aided curves for calculating dimensionless parameter(Vmax/(g(A_o/B_o))^(1/2), Qmax/A_o (g(A_o/B_o))^(1/2) are suggested. The method of this paper is a forecasted method for dam-breaking wave of elliptic cross-section channels.
关键词
溃坝
水坝
水力计算
椭圆断面
Ritter's solution, Dam-breaking wave, Riemann invariant., Characteristic transformation, Elliptic cross-Section channel.
