摘要
本文研究了棱柱形河渠在平底无阻力条件下的瞬时全溃问题。给出了求解水面曲线的迭代公式及迭代初值的选取方法,分析了迭代公式的收敛性。通过引入梯形断面因子T,利用迭代法的计算成果,得到了用二次抛物线表示的无限长梯形河渠瞬时全溃水面曲线的近似解析解。而且还计算了不同T对应的π值(与断面形状有关),制成了表格以便查用。从而使文献[2]和[3]的理论能够用于研究有限长问题。 本文利用文献[2]的理论计算了有限长梯形断面的坝址过程线。 本文说明,对于梯形河渠而言,π值随T值变化而变化,但不必需要试验才能确定。
In this paper, The dam-breaking of prismatic trapezoidal channel with horizontal and fric-tionless case on sudden releases is studied. The iterative equation of water surface profile for trapezoidal channel is obtained. And the iterative initial-value is determined. After that, The convergence of the iterative equation is analyzed.By introducing a factor T of trapezoidal channel and using the results of interative method, The approximative analytic solution of water surface profile of dam-breaking on sudden releases for infinite trapezoidal channel is expressed as a parabola.The factor n, which depends on the shape of channel and corresponds to different T, is cacula-ted and. tabulated. Then, The theory in paper [2] ( or [3]) can be used for finite length case of trapezoidal channel on sudden releases.According to paper [2], The dam-site hydragraphs for trapezoidal channel on sudden releases are given.It is shown in this paper that n value varies with T and doesn't need to be determined by experiments.
出处
《水动力学研究与进展（A辑）》
CSCD
北大核心
1989年第2期42-52,共11页
Chinese Journal of Hydrodynamics
