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
DOI10.1016/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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