Interfacial hydroelastic hydraulic falls and trapped waves over bottom obstacles | |
Chai, Jin2,3; Wang, Zhan2,3; Parau, Emilian I.1 | |
刊名 | JOURNAL OF FLUIDS AND STRUCTURES |
2023 | |
卷号 | 116页码:19 |
关键词 | Stratified flow Interfacial wave Hydraulic fall Boundary integral method |
ISSN号 | 0889-9746 |
DOI | 10.1016/j.jfluidstructs.2022.103813 |
通讯作者 | Wang, Zhan(zwang@imech.ac.cn) |
英文摘要 | Steady nonlinear flexural-gravity hydraulic falls on the interface of a two-layer density stratified flow past a submerged obstruction on the bottom of a channel are considered. The fluid is assumed to be ideal, and the flow is irrotational. We extend the previous works (Dias and Vanden-Broeck, 2002; Wang et al., 2022) by including the effect of hydroelasticity. The interface is modeled as a thin elastic shell with the Cosserat theory. The boundary integral equation techniques are employed to find steady solutions by numerically solving the full Euler equations. New solutions characterized by subcritical flow upstream with different depth ratios (thick upper layer, thick bottom layer, or critical depth) are found, and the effects of the aspect ratio of obstruction are investigated. By introducing a second obstruction downstream, solutions characterized by a train of trapped waves are sought with wavelength coherent with the prediction of the linear dispersion relation. In addition, solutions with a soliton-like form and oscillatory decaying tails are found when the sheet rigidity is small and the second obstruction is placed upstream.(c) 2022 Elsevier Ltd. All rights reserved. |
资助项目 | National Natural Science Foundation of China ; Key Program of the National Natural Science Foundation of China ; Royal Society International Exchanges Travel, China ; [11911530171] ; [12132018] ; [IEC\NSFC\181279] |
WOS关键词 | LARGE-AMPLITUDE BENEATH ; FLOATING ICE PLATE ; SOLITARY WAVES ; 2-LAYER FLOW ; WELL-POSEDNESS ; SURFACE-WAVES ; ELASTIC SHEET ; FLUID ; WATER |
WOS研究方向 | Engineering ; Mechanics |
语种 | 英语 |
WOS记录号 | WOS:000901604400001 |
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, China |
内容类型 | 期刊论文 |
源URL | [http://dspace.imech.ac.cn/handle/311007/91362] |
专题 | 力学研究所_流固耦合系统力学重点实验室(2012-) |
通讯作者 | Wang, Zhan |
作者单位 | 1.Univ East Anglia, Sch Math, Norwich NR4 7TJ, England 2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Chai, Jin,Wang, Zhan,Parau, Emilian I.. Interfacial hydroelastic hydraulic falls and trapped waves over bottom obstacles[J]. JOURNAL OF FLUIDS AND STRUCTURES,2023,116:19. |
APA | Chai, Jin,Wang, Zhan,&Parau, Emilian I..(2023).Interfacial hydroelastic hydraulic falls and trapped waves over bottom obstacles.JOURNAL OF FLUIDS AND STRUCTURES,116,19. |
MLA | Chai, Jin,et al."Interfacial hydroelastic hydraulic falls and trapped waves over bottom obstacles".JOURNAL OF FLUIDS AND STRUCTURES 116(2023):19. |
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