梯形明渠水跃共轭水深的直接计算方法

山东大学学报(工学版)

梯形明渠水跃共轭水深的直接计算方法

赵延风^1,2,王正中^1,2,芦琴1,祝晗英³

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工程安全与病害防治研究中心, 陕西杨凌 712100;
3. 西安市水务局渭眘河管理中心,陕西西安 710015

收稿日期:2008-08-12 修回日期:1900-01-01 出版日期:2009-04-16 发布日期:2009-04-16
通讯作者: 赵延风

1. College of Water Resources and Architectural Engineering, Northwest A＆F University, Yangling 712100, China;
2. Reseach Center of Water Engineering Safety and Disaster Prevention, Northwest A＆F University, Yangling 712100, China;
3. Xi’an Water Affairs Bureau, Management Center of Weihe River and Chanhe River, Xi’an 710015, China

Received:2008-08-12 Revised:1900-01-01 Online:2009-04-16 Published:2009-04-16

摘要/Abstract

摘要： 针对目前计算梯形明渠共轭水深的求解公式存在计算过程复杂、精度低、适用范围小三大弊端,提出一种新的直接计算公式.通过引入一个量纲一参数——单位水面宽度,对梯形明渠共轭水深的水跃方程进行恒等变形,得到了计算梯形明渠共轭水深的迭代公式,再与合理的迭代初值进行配合使用，推导出梯形明渠共轭水深的直接计算公式,误差分析及实例计算表明,在工程常用范围内最大相对误差仅为11％.与现有计算公式比较,该直接计算公式形式相对简捷,适用范围广,计算精度高.

关键词: 梯形明渠, 水跃, 共轭水深, 直接计算, 单位水面宽度

Abstract: A new calculating formula was put forward to directly compute conjugate water depth of the trapezoidal channel, which can resolve the disadvantage of existing formulae, such as the complex computing course, low precision and small using area. By introducing a nondimensional parameter——unit water surface width and doing the identical exchange to the basic equation of conjugate water depth of the trapezoidal channel, the iterative formula was obtained, which can work with the proper initial value for the iteration. A direct calculating formula of conjugate water depth of the trapezoidal channel was deduced. The error analysis and appliance showed that the maximum error in the common area of engineering was 11％. Compared with existing formulae, this formula has relatively easy form, wide using area and high precision.

Key words: trapezoidal open channel, hydraulic jumps, conjugate water depth, direct method, unit surface width

中图分类号:

TV133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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