明渠六圆弧蛋形断面临界水深和收缩断面水深的计算  

Calculation of critical water depth and contraction section water depth in egg-shaped cross-section with six arcs of open channel

作　　者：李若冰[1] 张志昌[1] 

机构地区：[1]西安理工大学,陕西西安710048

出　　处：《武汉大学学报（工学版）》2012年第4期463-467,共5页Engineering Journal of Wuhan University

摘　　要：根据明渠恒定非均匀流理论,按照分块计算面积的方法,详细推导了六圆弧蛋形断面临界水深和收缩断面水深的迭代计算公式,并根据优化拟合研究了临界水深的简化计算方法.提出了4种工况下临界水深和3种工况下收缩断面水深的迭代计算公式,给出了已知流量条件下相对临界水深与相对流量的关系和已知临界水深条件下相对临界水深与相对断面面积的关系,得出了两种简化计算公式.通过算例验证了临界水深两种简化公式的正确性,其最大误差分别为1.6%和0.8%,满足工程设计需求.Based on the nonuniform flow theory of open channel,according to blocking the calculated area,the iteration formulas of critical water depth and contraction section water depth in egg-shaped cross section with six arcs are derived in detail;and the simplified methods of critical water depth are researched by optimizing fitting.The iteration formulas of critical water depth under four conditions and contraction section water depth under three conditions are put forwarded;the relationship between relative critical water depth and relative discharge corresponding to the known discharge and the relationship between relative critical water depth and relative area corresponding to the known critical water depth are given;two kinds of simplified formulas are obtained as well.these two simplified calculation formulas of critical water depth are verified correctly by numerical examples with the maximum errors 1.6% and 0.8% separately which can meet the needs of engineering design.

关 键 词：六圆弧蛋形断面 临界水深 收缩断面水深 迭代公式 简化计算 

分 类 号：TV133.1[水利工程—水力学及河流动力学]