Trapped waves on interfacial hydraulic falls over bottom obstacles

doi:10.1103/PhysRevFluids.7.074801

	Trapped waves on interfacial hydraulic falls over bottom obstacles
	Wang Z(王展)1,2 ; Chai J(柴锦)1,2; Parau EI 3; Page C 3; Wang M 4
通讯作者	Wang, Z.(zwang@imech.ac.cn)
发表期刊	PHYSICAL REVIEW FLUIDS
	2022-07-01
卷号	7 期号:7 页码:24
ISSN	2469-990X
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.
DOI	10.1103/PhysRevFluids.7.074801
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000823817200002
关键词[WOS]	FREE-SURFACE FLOW ; 2-LAYER FLOWS
WOS研究方向	Physics
WOS类目	Physics, Fluids & Plasmas
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]
项目资助者	National Natural Science Foundation of China ; key program of the National Natural Science Foundation of China ; Royal Society International Exchanges Travel Grant
论文分区	二类
力学所作者排名	1
RpAuthor	Wang, Z.
引用统计	被引频次：1[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/89853
专题	高温气体动力学国家重点实验室
作者单位	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
推荐引用方式 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.
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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