双自由面重力流的数值保角变换方法——(Ⅰ)数学模型

The Numerical Method of Conformal Mappings for the Gravity Flow Involving Double-free Surfaces (Ⅰ) Mathematical Model

本文导出了泄流平面与带状域平面的边界微分-积分方程,进而建立了薄壁堰双自由面重力流的一种数学模型,提出了应用该模型的两种求解方式和一些有益建议。

A nonlinear differential-integral equation is derived in-this paper, which can map directly from the physical discharge plane to the infinite strip plane. Based on the equation, a mathematical model is presented for the double-free surfaces flow ower sharp-crested weir which is strongly influenced by gravitation. Two numerical procedures ie put forward and some usef ull sugestions is also given for using the model.