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抛物线断面河渠正常水深的近似计算公式
引用本文:王羿,王正中,赵延风,冷畅俭.抛物线断面河渠正常水深的近似计算公式[J].人民长江,2011,42(11):107-109.
作者姓名:王羿  王正中  赵延风  冷畅俭
作者单位:1. 西北农林科技大学水利与建筑工程学院,陕西杨凌,712100
2. 西北农林科技大学水利与建筑工程学院,陕西杨凌712100;西北农林科技大学水工程安全与病害防治研究中心,陕西杨凌712100
摘    要:抛物线断面河渠正常水深方程形式复杂,解析解求解困难。通过对抛物线形渠道正常水深方程进行恒等变形,对已知量进行整合,得到快速收敛的无量纲迭代方程式,再用优化拟合分析的方法选取迭代初值,由不动点迭代法提出了无量纲正常水深近似计算公式。误差分析结果表明:抛物线形断面河渠正常水深近似计算公式简单、精确,在工程常用范围内相对误差小于1%,满足工程要求。

关 键 词:抛物线  河渠  正常水深  计算公式  

Approximate calculation formula of normal depth in parabolic-shaped river channel
WANG Yi,WANG Zhengzhong,ZHAO Yanfeng,LENG Changjian.Approximate calculation formula of normal depth in parabolic-shaped river channel[J].Yangtze River,2011,42(11):107-109.
Authors:WANG Yi  WANG Zhengzhong  ZHAO Yanfeng  LENG Changjian
Affiliation:WANG Yi1,WANG Zhengzhong1,2,ZHAO Yanfeng1,LENG Changjian1,2(1.Collage of Water Conservancy and Architectural Engineering,Northwest A&F University,Yangling 712100,China,2.Research Center of Water Engineering Safety and Disaster Prevention,China)
Abstract:The equation of normal depth in a parabolic-shaped river channel is complex and difficult to be analytically solved.Through identically transforming the normal flow depth equation and integrating the known variables,the quickly converged dimensionless iteration equation is obtained.Then the initial iteration value is selected through optimized fitting analysis.The approximation solution formula of dimensionless normal flow depth is obtained using fixed-point iteration method.The error analysis shows the app...
Keywords:parabola  river channel  normal flow depth  calculation formula  
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