标准型异形椭圆断面正常水深和临界水深计算  

Calculation of normal depth and critical depth for standard-type heteromorphic elliptic section

作　　者：武周虎[1] 王瑜 祝帅举 WU Zhouhu;WANG Yu;ZHU Shuaiju(School of Environmental and Municipal Engineering,Qingdao University of Technology,Qingdao 266033,China;Henan Urban and Rural Planning and Design Institute Co.,Ltd.,Zhengzhou 450044,China)

机构地区：[1]青岛理工大学环境与市政工程学院,山东青岛266033 [2]河南省城乡规划设计研究总院有限公司,河南郑州450044

出　　处：《水利水电科技进展》2020年第6期11-16,共6页Advances in Science and Technology of Water Resources

基　　金：国家自然科学基金(51379097,50979036)。

摘　　要：针对标准型异形椭圆断面正常水深和临界水深的基本方程均为超越方程、无法直接求解的问题,在归纳标准型异形椭圆断面水力要素计算公式的基础上,通过引入量纲一参数和采用曲线分段优化拟合的分析方法,提出了求解标准型异形椭圆断面正常水深和临界水深的直接计算公式。误差分析结果表明,该断面正常水深和临界水深直接计算公式相对误差的绝对值最大分别为0.362%和0.288%,其适用范围及精度均能够满足工程应用的要求。Basic equations of normal and critical water depths for standard-type heteromorphic elliptic section are transcendental which cannot be solved directly.On the basis of summarizing the hydraulic factor calculation formulas of standard-type heteromorphic elliptic section,dimensionless parameters and the method of curve piecewise fitting optimization analysis were introduced to propose the explicit calculation formulas for solving the normal and critical water depth of standard-type heteromorphic elliptic section.The results of error analysis show that the absolute values of relative error of the normal and critical water depth formulas for a typical cross-section were less than 0.362%and 0.288%,respectively,which were within the common range in real engineering applications.

关 键 词：无压隧洞 标准型异形椭圆断面 正常水深 临界水深 直接计算 

分 类 号：TV672[水利工程—水利水电工程]