无压流圆形断面水力计算的迭代法  

Hydraulic calculation for free flow in circular section by iterative method

作　　者：吕宏兴[1] 把多铎[1] 宋松柏[1] 

机构地区：[1]西北农林科技大学水利与建筑工程学院,陕西杨凌712100

出　　处：《长江科学院院报》2003年第5期15-17,共3页Journal of Changjiang River Scientific Research Institute

基　　金：国家自然科学基金资助项目(59979023);科技部863计划项目(2001A242111)

摘　　要：无压流圆形断面水力计算中的正常水深、临界水深求解无显函数形式的表达公式,传统计算采用试算或查图进行。现通过均匀流公式和临界流方程导出了无压流圆形断面临界水深、正常水深水力计算的迭代公式,并给出了满足无压输水隧洞要求净空面积不小于全断面面积的15%,或净空高度不小于0.4m条件时的界限洞径与界限流量计算式,也给出了均匀流最大水深与最大流量的判别关系式,计算过程采用迭代法进行。经检验迭代公式具有较好的收敛性和较高精度。Owing to the fact that the calculation formulas of normal depth and critical depth for free flow in circular section of tunnel and drainage culvert werent expressed by explicit function in hydraulics, the conventional trial and error method and specific hydraulic graphs had to be used in calculating these values. In order to improve this situation, an iteration formulation for calculating these two parameters were derived. The calculation formulas of limiting tunnel diameter and limiting discharge under the condition of the net space area not less than 15% of the total cross section area or the free height not less than 0.4 m, were presented, and the judgment expressions of maximum water depth and discharge with uniform flow were given. The iterative operation was used in the calculation. After examination, the results show that the method has better convergence and higher precision and can be used in practical engineering design.

关 键 词：圆形过水断面 水力计算 临界水深 正常水深 输水隧洞 

分 类 号：TV131[水利工程—水力学及河流动力学]