稳定渠道几何形态解析

本文基于临界理论,同时引入合理的水流切应力表达式,建立起稳定渠道断面形态微分方程,据此获得断面曲线、过水面积及湿周的全部分析解。在此基础上,结合现有基本力学方程,严格从理论上导出稳定渠道的河相关系,并用实测资料作初步验证,结果较为满意。还运用积分中值定理给出断面宽度的另一形式的分析解,以便于水力计算中应用。

ANALYTIC SOLUTION OF STABLE CHANNEL GEOMETRY

This paper has obtained the exact analytic solutions for the cross-section curve,area and wet perimeter from the differential equation of stable channel geometry based on the fundamental assumption that particles on the channel boundary are in the threshold movement.The morphologic equations therefore are first strictly derived from simultaneous equations,including continuity equation and flow resistance formula.Comparison of the theoretical morphologic equations with measured data shows a good agreement.According to the integral mean-value theorem,moreover,another form of solution for the cross-section curve is found,which is very simple for the hydraulic computation of the stable channel.