[1]宁利中,宁碧波,田伟利,等.矩形扩散水跃方程的近似解[J].西安建筑科技大学学报:自然科学版,2013,45(06):875-879.[doi:10.15986/j.1006-7930.2013.06.021]
　NING Li-zhong,NING Bi-bo,TIAN Wei-li,et al.An approximation solution of the hydraulic jump equation in the rectangular expanding channel[J].J.Xi’an Univ. of Arch. & Tech.:Natural Science Edition,2013,45(06):875-879.[doi:10.15986/j.1006-7930.2013.06.021]
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矩形扩散水跃方程的近似解()
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西安建筑科技大学学报:自然科学版[ISSN:1006-7930/CN:61-1295/TU]

卷:
45
期数:
2013年06期
页码:
875-879
栏目:
出版日期:
2013-12-31

文章信息/Info

Title:
An approximation solution of the hydraulic jump equation in the rectangular expanding channel
文章编号:
1006-7930(2013)06-0875-05
作者:
宁利中1; 宁碧波2; 田伟利3; 王卓运1; 王 娜1; 李开继1
(1.西安理工大学陕西省西北旱区生态水利工程重点实验室,陕西 西安 710048; 2.嘉兴学院建筑工程学院,浙江 嘉兴 314001; 3.上海大学美术学院,上海 200444)
Author(s):
NING Li-zhong1; NING Bi-bo2; TIAN Wei-li3; WANG Zhuo-yu1; WANG Na1; LI Kai-ji1
(1.State Key Laboratory of Eco-Hydraulic Engineering in Shaanxi, Xian Univ. of Tech., Xian 710048, China; 2.College of Civil Engineering and Architecture, Jiaxing Univ., Jiaxing 314001,China; 3.College of Fine Arts, Shanghai Univ., Shanghai 200444,China)
关键词:
动量原理; 水跃; 矩形扩散渠槽
Keywords:
momentum principle;  hydraulic jump;  rectangular expanding channel
分类号:
TV 131.4
DOI:
10.15986/j.1006-7930.2013.06.021
文献标志码:
A
摘要:
在矩形扩散渠槽水跃的水面按线性变化和侧墙反力按梯形计算假设的基础上,根据动量原理,推导了矩形扩散渠槽的水跃方程.通过级数展开处理,获得了矩形扩散渠槽的水跃方程的近似解.近似解的计算结果和实验值一致.将近似解应用于矩形明渠水跃水力计算,在稳定水跃范围内,近似解与经典的矩形明渠水跃的理论解析解的最大相对误差为6.67%.说明矩形扩散渠槽的水跃方程的近似解可以应用到工程计算.
Abstract:
Based on the assumptions of the linear variation of the water surface profile and the trapezoidal pressure distribution on the side wall in the hydraulic jump in a rectangular expanding channel, an equation of the hydraulic jump in a rectangular expanding channel is derived by using the momentum principle in this paper. An approximation solution of the hydraulic jump equation is obtained by applying the analysis of series expansion. The calculated values of the solution of approximation agree with the experimental data. By applying the approximation solution to the hydraulic jump in a rectangular open channel, the maximum error of the approximation solution relative to the classically theoretical solution in a rectangular open channel is 6.67% in the range of a steady jump. The results have shown that the approximation solution of the hydraulic jump equation can be used to compute the engineering problem

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2013-03-19 修改稿日期:2013-11-25
基金项目:国家自然科学基金资助资助项目(10872164);陕西省重点学科建设专项资金项目
作者简介:宁利中(1961-),男,陕西西安人,博士,教授,从事对流动力学与高速水力学研究.
更新日期/Last Update: 2015-10-05