渐扩散水跃跃长的研究

吴宇峰; 伍超; 刘小兵

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渐扩散水跃跃长的研究

吴宇峰, 伍超, 刘小兵

文章导航 > 水科学进展 > 2007 > 18(2): 210-215

吴宇峰, 伍超, 刘小兵. 渐扩散水跃跃长的研究[J]. 水科学进展, 2007, 18(2): 210-215.

引用本文:

吴宇峰, 伍超, 刘小兵. 渐扩散水跃跃长的研究[J]. 水科学进展, 2007, 18(2): 210-215.

WU Yu-feng, WU Chao, LIU Xiao-bing. Length of hydraulic jump in gradually broadened channel[J]. Advances in Water Science, 2007, 18(2): 210-215.

Citation:

WU Yu-feng, WU Chao, LIU Xiao-bing. Length of hydraulic jump in gradually broadened channel[J]. Advances in Water Science, 2007, 18(2): 210-215.

渐扩散水跃跃长的研究

1.
四川大学水力学与山区河流开发保护国家重点实验室, 四川, 成都, 610065;
2.
西华大学能源与环境学院, 四川, 成都, 610039

基金项目: 国家自然科学基金资助项目(50479061)

详细信息

作者简介:
吴宇峰(1975- ),男,四川仪陇人,讲师,博士研究生,主要从事水力学及水电站研究.E-mail:wyy89@sohu.com

中图分类号: TV131.22

Length of hydraulic jump in gradually broadened channel

1.
State Key Laboratory of Hydraulics and Muntain River Engineering, Sichuan University, Chengdu 610065, China;
2.
School of Energy and Environment, Xihua University, Chengdu 610039, China

Funds: The study is financially supported by the National Natural Science Foundation of China(No.50479061).

摘要: 首先通过对作用于渐扩散水跃的压力分析,阐述了渐扩散水跃跃长总比非扩散水跃跃长短的原理。在此理论基础上,考虑边墙扩散角的影响,建立了渐扩散水跃表面质点运动方程,并结合动量方程和连续方程,推导出渐扩散水跃跃长的半理论、半经验公式。同时,引入非扩散水跃跃长经验公式,使渐扩散水跃跃长公式大大简化。其次,对该理论的局限性进行了分析,得到了该公式的适用范围。在该范围内,该公式能较好地吻合实验结果,从而该理论得以证实。最后对各家渐扩散水跃跃长经验公式进行分析归类,并推荐工程适用公式,以便工程运用。
- 渐扩散渠道 /
- 扩散角 /
- 水跃 /
- 跃长 /
- 消力池
Abstract: The length of hydraulic jump in the gradually broadened channels is studied in this paper. Firstly,the hydraulic pressure acting on the hydraulic jump in the gradually broadened channel is analyzed,and why the length of hydraulic jump is always shorter in the gradually broadened channel than in the non-broadened channel expounded Considering the influence of the divergence angles on the jump,an approximate expression for the water surface profile of the jump in the gradually broad ened channel is written based on this analysis From the expression,the momentum equation and the cont inuous equation of the flow,the semi empirical formula for calculating the length of the jump in the gradually broadened channel is derived At the same time,the simplified solution to the semi empirical formula is proposed by employing an empirical formula for calculating the length of hydraulic jump in the non broadened channel Secondly,the limitations of the semi empirical formula are pointed out Based on the limitations,the applicable ranges of the semi empirical formula are obtained In the ranges the validity of the semi empirical formula is verified with the experimental data Lastly,the most empirical formulae for calculating the length of hydraulic jump in the gradually broadened channel are classified and some are recommended for the designers of the stilling basin We hope that the recommendation is useful to the designers.
- gradually broadened channel /
- divergence angle /
- hydraulic jump /
- length of hydraulic jump /
- stilling basin

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渐扩散水跃跃长的研究

1. 四川大学水力学与山区河流开发保护国家重点实验室, 四川, 成都, 610065;

2. 西华大学能源与环境学院, 四川, 成都, 610039

基金项目: 国家自然科学基金资助项目(50479061)

作者简介:
吴宇峰(1975- ),男,四川仪陇人,讲师,博士研究生,主要从事水力学及水电站研究.E-mail:wyy89@sohu.com

收稿日期: 2005-08-10
修回日期: 2005-12-15
刊出日期: 2007-03-25

中图分类号: TV131.22

关键词:

渐扩散渠道 /

扩散角 /

水跃 /

跃长 /

消力池

摘要: 首先通过对作用于渐扩散水跃的压力分析,阐述了渐扩散水跃跃长总比非扩散水跃跃长短的原理。在此理论基础上,考虑边墙扩散角的影响,建立了渐扩散水跃表面质点运动方程,并结合动量方程和连续方程,推导出渐扩散水跃跃长的半理论、半经验公式。同时,引入非扩散水跃跃长经验公式,使渐扩散水跃跃长公式大大简化。其次,对该理论的局限性进行了分析,得到了该公式的适用范围。在该范围内,该公式能较好地吻合实验结果,从而该理论得以证实。最后对各家渐扩散水跃跃长经验公式进行分析归类,并推荐工程适用公式,以便工程运用。

English Abstract

Length of hydraulic jump in gradually broadened channel

1. State Key Laboratory of Hydraulics and Muntain River Engineering, Sichuan University, Chengdu 610065, China;

2. School of Energy and Environment, Xihua University, Chengdu 610039, China

Funds: The study is financially supported by the National Natural Science Foundation of China(No.50479061).

Received Date: 2005-08-10
Rev Recd Date: 2005-12-15
Publish Date: 2007-03-25

Keywords:

Abstract: The length of hydraulic jump in the gradually broadened channels is studied in this paper. Firstly,the hydraulic pressure acting on the hydraulic jump in the gradually broadened channel is analyzed,and why the length of hydraulic jump is always shorter in the gradually broadened channel than in the non-broadened channel expounded Considering the influence of the divergence angles on the jump,an approximate expression for the water surface profile of the jump in the gradually broad ened channel is written based on this analysis From the expression,the momentum equation and the cont inuous equation of the flow,the semi empirical formula for calculating the length of the jump in the gradually broadened channel is derived At the same time,the simplified solution to the semi empirical formula is proposed by employing an empirical formula for calculating the length of hydraulic jump in the non broadened channel Secondly,the limitations of the semi empirical formula are pointed out Based on the limitations,the applicable ranges of the semi empirical formula are obtained In the ranges the validity of the semi empirical formula is verified with the experimental data Lastly,the most empirical formulae for calculating the length of hydraulic jump in the gradually broadened channel are classified and some are recommended for the designers of the stilling basin We hope that the recommendation is useful to the designers.

吴宇峰, 伍超, 刘小兵. 渐扩散水跃跃长的研究[J]. 水科学进展, 2007, 18(2): 210-215.

引用本文:

吴宇峰, 伍超, 刘小兵. 渐扩散水跃跃长的研究[J]. 水科学进展, 2007, 18(2): 210-215.

WU Yu-feng, WU Chao, LIU Xiao-bing. Length of hydraulic jump in gradually broadened channel[J]. Advances in Water Science, 2007, 18(2): 210-215.

Citation:

WU Yu-feng, WU Chao, LIU Xiao-bing. Length of hydraulic jump in gradually broadened channel[J]. Advances in Water Science, 2007, 18(2): 210-215.