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梯形明渠临界水深的直接计算方法

赵延风, 王正中, 张宽地   

  1. 西北农林科技大学水利与建筑工程学院,陕西杨凌712100
  • 收稿日期:2007-02-05 修回日期:1900-01-01 出版日期:2007-12-24 发布日期:2007-12-24
  • 通讯作者: 赵延风

Direct calculation method for critical depth of open trapezoidal channel

ZHAO Yan-feng,WANG Zheng-zhong,ZHANG Kuan-di   

  1. College of Water Resources and Architectural Engineering,Northwest A&F University,Yangling 712100,China
  • Received:2007-02-05 Revised:1900-01-01 Online:2007-12-24 Published:2007-12-24
  • Contact: ZHAO Yan-feng

摘要: 通过引入一个无量纲参数——单位水面宽度,对梯形明渠临界水深的基本公式进行恒等变形,得到计算梯形明渠临界水深的迭代公式,再与合理的迭代初值配合使用,推导出梯形断面临界水深的直接计算公式,在梯形断面全部范围内最大相对误差小于0.082%.误差分析及实例计算表明,该直接计算式形式简单,适用范围广,计算精度高.

关键词: 临界水深, 直接计算法, 梯形明渠, 单位水面宽度, 相对形状系数

Abstract: By introducing nondimensional parameterunit surface width, an iterative formula on critical water depth of open trapezoidal channels is proposed according to mathematical transformation. Combined with right initial value,direct calculation formula of critical water depth of trapezoidal section is obtained. The greatest relative error is less than 0.082% within all the sections of trapezoidal channel. Examples of error analysis and calculation show that its direct formula format is shortcut, effective and correct.

Key words: critical water depth, direct calculation method, open trapezoidal channel, unit surface width, relative form coefficient

中图分类号: 

  • TV133.1
[1] 赵延风1,2, 王正中1,2 ,芦琴1,祝晗英3 . 梯形明渠水跃共轭水深的直接计算方法[J]. 山东大学学报(工学版), 2009, 39(2): 131-136.
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