基于最小能耗原理的稳定渠道断面形状  

Stable channel shape based on the principle of minimum stream power

作　　者：黄才安[1] 龚敏飞[1] 陈志昌[2] 钱文康[1] 

机构地区：[1]扬州大学水利科学与工程学院,江苏扬州225009 [2]南京水利科学研究院,江苏南京210024

出　　处：《水动力学研究与进展（A辑）》2005年第2期189-195,共7页Chinese Journal of Hydrodynamics

基　　金：江苏省高校省级重点实验室开放课题(KJS01060)

摘　　要：基于最小能耗原理,本文提出了一种稳定渠道断面设计的新方法。在构造稳定渠道断面形状求解的泛函极值问题的基础上,利用变分法推导出的稳定渠道断面为形式简单的圆弧形曲线。该圆弧形曲线形状实际上是将水力学中的水力最佳断面推广到考虑边坡稳定的情况。结合渠道阻力关系及临界起动切应力,可得到稳定渠道水力几何形态设计的方法。与其它形式的稳定断面形状比较显示,本文方法与 Diplas 和 Vigilar 的断面模型较为接近。同时验证结果表明,本文方法与实测资料相吻合。Based on the principle of minimum stream power, a new method for designing stable channel is proposed. Based on the problem of functional extreme that determines stable channel shape, it is derived that the shape of stable channel is a circlular curve by use of calculus of variations. This circular curve shape is actually the extension of the hydraulic optimum section in hydraulics to the situation of considering bank stability. Combined with resistance equation of channel and critical incipient shear stress, the method of designing hydraulic geometry of stable channel is set up in this paper. Compared with other models of stable channel shape, it is shown that present model approximates to the model of Diplas and Vigilar. Also the hydraulic geometry of stable channel proposed by this paper agrees well with measured data.

关 键 词：稳定渠道设计 最小能耗原理 圆弧形曲线 水力几何形态 水力最佳断面 

分 类 号：TV142[水利工程—水力学及河流动力学]