弯曲圆管内漩涡结构分叉现象的理论研究

吴望一; 谭文长; 李娟; 谢文俊

弯曲圆管内漩涡结构分叉现象的理论研究

北京大学力学与工程科学系, 北京100871

基金项目: 国家教育部博士点基金资助项目;高等学校骨干教师资助计划项目

详细信息

作者简介:
吴望一(1933- ),男,浙江镇海人,教授,博导,在国内外刊物发表论文82篇;谭文长(1966- ),男,山东聊城人,副教授,已发表论文20余篇.

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出版历程
- 收稿日期: 2000-03-21
- 修回日期: 2000-07-11
- 刊出日期: 2000-12-15

Theoretical Study on the Bifurcation of Vortexes Structure for Flow in Curved Tube

Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P R China

摘要

摘要: 利用拓扑结构分析方法,分析了弯曲圆管内定常流在横截面上流线的奇点个数及分布规律,给出了二次流的漩涡数目由2个变为4个,流态结构发生分叉现象的理论判据。进而,利用Galerkin方法,得到了弯曲圆管内定常流的流函数和轴向速度的半解析表达式,给出了流态结构发生分叉现象的临界Dean数,所得结果与理论判则一致。
- 弯曲圆管 /
- 定常流 /
- 分叉 /
- 拓扑结构 /
- Galerkin方法
Abstract: The number and distribution of the singular points of streamlines in the cross section of steady flow through a curved tube are discussed by using the method of topological structure analysis. And a theoretical criterion is obtained for the bifurcation of flow vortexes for the secondary flow turning from two-vortex structure into four-vortex structure.Furthermore,the critical Dean number for bifurcation and the semi-analytical expressions of stream function and axial velocity are given by using Galerkin technique.The result of calculation is consistent with the theoretical criterion.
- curved tube /
- steady flow /
- bifurcation /
- topological structure /
- Galerkin technique

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参考文献(22)

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弯曲圆管内漩涡结构分叉现象的理论研究

作者简介:
吴望一(1933- ),男,浙江镇海人,教授,博导,在国内外刊物发表论文82篇;谭文长(1966- ),男,山东聊城人,副教授,已发表论文20余篇.

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Theoretical Study on the Bifurcation of Vortexes Structure for Flow in Curved Tube

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留言板

弯曲圆管内漩涡结构分叉现象的理论研究

作者简介: 吴望一(1933- ),男,浙江镇海人,教授,博导,在国内外刊物发表论文82篇;谭文长(1966- ),男,山东聊城人,副教授,已发表论文20余篇.

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出版历程

Theoretical Study on the Bifurcation of Vortexes Structure for Flow in Curved Tube

计量

出版历程

目录

作者简介:
吴望一(1933- ),男,浙江镇海人,教授,博导,在国内外刊物发表论文82篇;谭文长(1966- ),男,山东聊城人,副教授,已发表论文20余篇.