| New solutions for interfacial capillary waves of permanent form | |
Guan X1 ; VandenBroeck JM1; Wang Z(王展)2,3
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| 通讯作者 | Wang, Z.(zwang@imech.ac.cn) |
| 发表期刊 | JOURNAL OF FLUID MECHANICS
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| 2022-11-11 | |
| 卷号 | 951页码:20 |
| ISSN | 0022-1120 |
| 摘要 | Progressive capillary waves on the interface between two homogeneous fluids confined in a channel with rigid walls parallel to the undisturbed interface are investigated. This problem is formulated as a system of integrodifferential equations that can be solved numerically via a boundary integral equation method coupled with series expansions of the unknown functions. With this highly accurate scheme and numerical continuation, we explore the global bifurcation of periodic travelling waves. It is found that there are two types of limiting profile, self-intersecting and boundary-touching, which appear either along a primary branch bifurcating from infinitesimal periodic waves or on an isolated branch existing above a certain finite amplitude. For particular sets of parameters, these two types of bifurcation curves can intersect, which can be viewed as a secondary bifurcation phenomenon occurring on the primary branch. Based on asymptotic and numerical analyses of the almost limiting waves, it is found that the boundary-touching solutions feature a circular geometry, i.e. the interface is pieced together by circular arcs of the same radius. A theoretical investigation yields the necessary conditions for the existence of these extreme waves, whereby we can predict the limiting configurations for most parameter sets. The comparisons between theoretical predictions and numerical results show good agreement. |
| 关键词 | capillary flows capillary waves |
| DOI | 10.1017/jfm.2022.882 |
| 收录类别 | SCI ; EI |
| 语种 | 英语 |
| WOS记录号 | WOS:000881756300001 |
| 关键词[WOS] | GRAVITY-WAVES ; SHEETS ; WATER |
| WOS研究方向 | Mechanics ; Physics |
| WOS类目 | Mechanics ; Physics, Fluids & Plasmas |
| 资助项目 | Key Program of the National Natural Science Foundation of China[12132018] ; EPSRC[EP/N018559/1] ; Chinese Scholarship Council |
| 项目资助者 | Key Program of the National Natural Science Foundation of China ; EPSRC ; Chinese Scholarship Council |
| 论文分区 | 一类/力学重要期刊 |
| 力学所作者排名 | 1 |
| RpAuthor | Wang, Z. |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://dspace.imech.ac.cn/handle/311007/90742 |
| 专题 | 流固耦合系统力学重点实验室 |
| 作者单位 | 1.UCL, Dept Math, London WC1E 6BT, England; 2.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China; 3.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Guan X,VandenBroeck JM,Wang Z. New solutions for interfacial capillary waves of permanent form[J]. JOURNAL OF FLUID MECHANICS,2022,951:20. |
| APA | Guan X,VandenBroeck JM,&王展.(2022).New solutions for interfacial capillary waves of permanent form.JOURNAL OF FLUID MECHANICS,951,20. |
| MLA | Guan X,et al."New solutions for interfacial capillary waves of permanent form".JOURNAL OF FLUID MECHANICS 951(2022):20. |
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