Interfacial electrohydrodynamic solitary waves under horizontal electric fields

doi:10.1017/jfm.2022.244

IMECH-IR > 流固耦合系统力学重点实验室

	Interfacial electrohydrodynamic solitary waves under horizontal electric fields
	Guan X(关昕)1,2 ; Wang Z(王展)1,3
通讯作者	Wang, Zhan(zwang@imech.ac.cn)
发表期刊	JOURNAL OF FLUID MECHANICS
	2022-04-06
卷号	940 页码:33
ISSN	0022-1120
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.
关键词	capillary waves solitary waves
DOI	10.1017/jfm.2022.244
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000778570500001
关键词[WOS]	GRAVITY-CAPILLARY WAVES ; FREE-SURFACE ; DYNAMICS ; LIQUID ; FLOWS
WOS研究方向	Mechanics ; Physics
WOS类目	Mechanics ; Physics, Fluids & Plasmas
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
项目资助者	Key Program of the National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Chinese Scholarship Council
论文分区	一类/力学重要期刊
力学所作者排名	1
RpAuthor	Wang, Zhan
引用统计	被引频次：3[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/311007/88815
专题	流固耦合系统力学重点实验室
作者单位	1.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China; 2.UCL, Dept Math, London WC1E 6BT, England; 3.Univ Chinese Acad Sci, Beijing 100049, 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.

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