Interfacial electrohydrodynamic solitary waves under horizontal electric fields

doi:10.1017/jfm.2022.244

CORC > 力学研究所 > 中国科学院力学研究所 > 流固耦合系统力学重点实验室(2012-)

	Interfacial electrohydrodynamic solitary waves under horizontal electric fields
	Guan X(关昕)2,3; Wang Z(王展)1,3
刊名	JOURNAL OF FLUID MECHANICS
	2022-04-06
卷号	940 页码:33
关键词	capillary waves solitary waves
ISSN号	0022-1120
DOI	10.1017/jfm.2022.244
通讯作者	Wang, Zhan(zwang@imech.ac.cn)
英文摘要	Interfacial waves between two superimposed dielectric fluid layers under a horizontal electric field are investigated from asymptotic and numerical aspects. The fluid is taken to be inviscid, incompressible and non-conducting in each layer. The competing forces resulting from gravity, surface tension and electric field are all considered. A systematic procedure is proposed to derive model equations of multiple scales in various possible limits from the electrified Euler equations in the framework of the Zakharov-Craig-Sulem formulation. Based on thorough analyses of the Dirichlet-Neumann operators in the long-wave approximation, classic weakly nonlinear models - including the Boussinesq-type system, the Korteweg-de Vries (KdV) equation and its variants, and the Benjamin-type equation - are obtained under different scaling assumptions. In addition, strongly nonlinear models (without the smallness assumption on the wave amplitude) in the Benjamin and Barannyk-Papageorgiou-Petropoulos regimes are derived. In these models, the electric effects are shown to produce dispersive regularisations of long and short waves. A modified boundary integral equation method is developed to compute solitary waves in the original electrified Euler equations. Through comparisons with solitary-wave solutions in the Euler equations, it is found that in various asymptotic regimes, weakly nonlinear models are in overall good agreement when wave amplitudes are small. In contrast, the range of validity of the strongly nonlinear model is much broader. It is shown that the horizontal electric field plays a significant role in the physical system: it expands the range of parameters for the existence of progressive waves, changes the qualitative characteristics of solitary waves and leads to a new type of solitary wave, namely the KdV-wavepacket mixed type.
分类号	一类/力学重要期刊
资助项目	Key Program of the National Natural Science Foundation of China[12132018] ; Strategic Priority Research Program of the Chinese Academy of Sciences[XDB22040203] ; Chinese Scholarship Council
WOS关键词	GRAVITY-CAPILLARY WAVES ; FREE-SURFACE ; DYNAMICS ; LIQUID ; FLOWS
WOS研究方向	Mechanics ; Physics
语种	英语
WOS记录号	WOS:000778570500001
资助机构	Key Program of the National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Chinese Scholarship Council
其他责任者	Wang, Zhan
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/88814]
专题	力学研究所_流固耦合系统力学重点实验室(2012-)
作者单位	1.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 2.UCL, Dept Math, London WC1E 6BT, England; 3.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China;
推荐引用方式 GB/T 7714	Guan X,Wang Z. Interfacial electrohydrodynamic solitary waves under horizontal electric fields[J]. JOURNAL OF FLUID MECHANICS,2022,940:33.
APA	关昕,&王展.(2022).Interfacial electrohydrodynamic solitary waves under horizontal electric fields.JOURNAL OF FLUID MECHANICS,940,33.
MLA	关昕,et al."Interfacial electrohydrodynamic solitary waves under horizontal electric fields".JOURNAL OF FLUID MECHANICS 940(2022):33.