人民长江Issue(4)：73-76,4.
蛋形断面明渠正常水深和临界水深的简化算法
Simplified algorithm of normal depth and critical depth of egg-shape cross-section open channel
摘要
Abstract
The basic equation of normal depth and critical depth of uniform flow in open channel with German egg-shape cross-section is implicit trigonometricfunction equation, which can not be solved directly. In this study, the exact values of the modulus of normal depth η0 and critical depth ηk are obtained by calculating the central angle θ corresponding to a set of fullnessαchosen from 0. 066 7~0. 85 and the relation curves are plotted. On the basis of the segmented curve fitting and optimi-zation analysis, the direct calculation formulas of normal depthη0 (α0 ) and critical depth ηk (αk ) are obtained. The application example shows that the simplified algorithm is characterized as form simple, calculation fast, convenient and practical with high precision, which can be used in the design of the German egg-shape cross section drainage culvert.关键词
德式蛋形断面/明渠/正常水深/临界水深/隐式三角函数方程/简化算法Key words
German egg-shape cross section/open channel/normal depth/critical depth/implicit trigonometric equation/simplified algorithm分类
建筑与水利引用本文复制引用
武周虎..蛋形断面明渠正常水深和临界水深的简化算法[J].人民长江,2014,(4):73-76,4.基金项目
国家自然科学基金资助项目(51379097) （51379097）
