| Trapped waves on interfacial hydraulic falls over bottom obstacles | |
Wang Z(王展)1,2 ; Chai J(柴锦)1,2; Parau EI3; Page C3; Wang M4
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| Corresponding Author | Wang, Z.([email protected]) |
| Source Publication | PHYSICAL REVIEW FLUIDS
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| 2022-07-01 | |
| Volume | 7Issue:7Pages:24 |
| ISSN | 2469-990X |
| Abstract | 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. |
| DOI | 10.1103/PhysRevFluids.7.074801 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000823817200002 |
| WOS Keyword | FREE-SURFACE FLOW ; 2-LAYER FLOWS |
| WOS Research Area | Physics |
| WOS Subject | Physics, Fluids & Plasmas |
| Funding Project | 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] |
| Funding Organization | National Natural Science Foundation of China ; key program of the National Natural Science Foundation of China ; Royal Society International Exchanges Travel Grant |
| Classification | 二类 |
| Ranking | 1 |
| Contributor | Wang, Z. |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/89853 |
| Collection | 高温气体动力学国家重点实验室 |
| Affiliation | 1.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China; 2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China; 3.Univ East Anglia, Sch Math, Norwich NR4 7TJ, Norfolk, England; 4.Beijing Inst Control Engn, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Wang Z,Chai J,Parau EI,et al. Trapped waves on interfacial hydraulic falls over bottom obstacles[J]. PHYSICAL REVIEW FLUIDS,2022,7,7,:24.Rp_Au:Wang, Z. |
| APA | 王展,柴锦,Parau EI,Page C,&Wang M.(2022).Trapped waves on interfacial hydraulic falls over bottom obstacles.PHYSICAL REVIEW FLUIDS,7(7),24. |
| MLA | 王展,et al."Trapped waves on interfacial hydraulic falls over bottom obstacles".PHYSICAL REVIEW FLUIDS 7.7(2022):24. |
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| Jp2022FA275_2022_Tra（1272KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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