| Interfacial electrohydrodynamic solitary waves under horizontal electric fields | |
Guan X(关昕)1,2 ; Wang Z(王展)1,3
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| Corresponding Author | Wang, Zhan([email protected]) |
| Source Publication | JOURNAL OF FLUID MECHANICS
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| 2022-04-06 | |
| Volume | 940Pages:33 |
| ISSN | 0022-1120 |
| Abstract | 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. |
| Keyword | capillary waves solitary waves |
| DOI | 10.1017/jfm.2022.244 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000778570500001 |
| WOS Keyword | GRAVITY-CAPILLARY WAVES ; FREE-SURFACE ; DYNAMICS ; LIQUID ; FLOWS |
| WOS Research Area | Mechanics ; Physics |
| WOS Subject | Mechanics ; Physics, Fluids & Plasmas |
| Funding Project | 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 |
| Funding Organization | Key Program of the National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Chinese Scholarship Council |
| Classification | 一类/力学重要期刊 |
| Ranking | 1 |
| Contributor | Wang, Zhan |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/88815 |
| Collection | 流固耦合系统力学重点实验室 |
| Affiliation | 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 |
| Recommended Citation GB/T 7714 | Guan X,Wang Z. Interfacial electrohydrodynamic solitary waves under horizontal electric fields[J]. JOURNAL OF FLUID MECHANICS,2022,940:33.Rp_Au:Wang, Zhan |
| 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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| Jp2022FA430_2022_Int（993KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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