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梯形明渠临界水深的直接计算方法
引用本文:赵延风,王正中,张宽地.梯形明渠临界水深的直接计算方法[J].山东大学学报(工学版),2007,37(6):101-105.
作者姓名:赵延风  王正中  张宽地
作者单位:西北农林科技大学,水利与建筑工程学院,陕西,杨凌,712100
基金项目:国家高技术研究发展计划(863计划);国家重点实验室基金
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
收稿时间:2007-02-05

Direct calculation method for critical depth of open trapezoidal channel
ZHAO Yan-feng,WANG Zheng-zhong,ZHANG Kuan-di.Direct calculation method for critical depth of open trapezoidal channel[J].Journal of Shandong University of Technology,2007,37(6):101-105.
Authors:ZHAO Yan-feng  WANG Zheng-zhong  ZHANG Kuan-di
Affiliation:College of Water Resources and Architectural Engineering,Northwest A&F University,Yangling 712100,China
Abstract:By introducing a 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 the right initial value,the 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.
Keywords:critical water depth  direct calculation method  open trapezoidal channel  unit surface width  relative form coefficient
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