Trapped waves on interfacial hydraulic falls over bottom obstacles

doi:10.1103/PhysRevFluids.7.074801

CORC > 力学研究所 > 中国科学院力学研究所 > 高温气体动力学国家重点实验室

	Trapped waves on interfacial hydraulic falls over bottom obstacles
	Wang Z(王展)3,4; Chai J(柴锦)3,4; Parau EI 2; Page C 2; Wang M 1
刊名	PHYSICAL REVIEW FLUIDS
	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.
分类号	二类
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关键词	FREE-SURFACE FLOW ; 2-LAYER FLOWS
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
其他责任者	Wang, Z.
内容类型	期刊论文
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
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 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.