Trapped waves on interfacial hydraulic falls over bottom obstacles
文献类型：期刊论文
| 作者 | Wang, Z.3,4 ; Chai, J.3,4; Parau, E., I2; Page, C.2; Wang, M.1; Wang M; Wang Z(王展); Wang M; Wang M; Wang M
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| 刊名 | PHYSICAL REVIEW FLUIDS
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| 出版日期 | 2022-07-01 |
| 卷号 | 7期号:7页码:24 |
| ISSN号 | 2469-990X |
| DOI | 10.1103/PhysRevFluids.7.074801 |
| 通讯作者 | Wang, Z.(zwang@imech.ac.cn) |
| 英文摘要 | Hydraulic falls on the interface of a two-layer density stratified fluid flow in the presence of bottom topography are considered. We extend the previous work [Philos. Trans. R. Soc. London A 360, 2137 (2002)] to two successive bottom obstructions of arbitrary shape. The forced Korteweg-de Vries and modified Korteweg-de Vries equations are derived in different asymptotic limits to understand the existence and classification of fall solutions. The full Euler equations are numerically solved by a boundary integral equation method. New solutions characterized by a train of trapped waves are found for interfacial flows past two obstacles. The wavelength of the trapped waves agrees well with the prediction of the linear dispersion relation. In addition, the effects of the relative location, aspect ratio, and convexity-concavity property of the obstacles on interface profiles are investigated. |
| WOS关键词 | FREE-SURFACE FLOW ; 2-LAYER FLOWS |
| 资助项目 | National Natural Science Foundation of China[11911530171] ; National Natural Science Foundation of China[11772341] ; key program of the National Natural Science Foundation of China[12132018] ; Royal Society International Exchanges Travel Grant[IEC/NSFC/181279] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000823817200002 |
| 资助机构 | National Natural Science Foundation of China ; key program of the National Natural Science Foundation of China ; Royal Society International Exchanges Travel Grant |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/89852]  |
| 专题 | 力学研究所_高温气体动力学国家重点实验室 |
| 通讯作者 | Wang, Z. |
| 作者单位 | 1.Beijing Inst Control Engn, Beijing 100190, Peoples R China 2.Univ East Anglia, Sch Math, Norwich NR4 7TJ, Norfolk, England 3.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China 4.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, Z.,Chai, J.,Parau, E., I,et al. Trapped waves on interfacial hydraulic falls over bottom obstacles[J]. PHYSICAL REVIEW FLUIDS,2022,7(7):24. |
| APA | Wang, Z..,Chai, J..,Parau, E., I.,Page, C..,Wang, M..,...&Wang M.(2022).Trapped waves on interfacial hydraulic falls over bottom obstacles.PHYSICAL REVIEW FLUIDS,7(7),24. |
| MLA | Wang, Z.,et al."Trapped waves on interfacial hydraulic falls over bottom obstacles".PHYSICAL REVIEW FLUIDS 7.7(2022):24. |
入库方式： OAI收割
来源：力学研究所
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