| Local bifurcation of electrohydrodynamic waves on a conducting fluid | |
Lin Z; Zhu Y; Wang Z(王展) ; Wang, Z (reprint author), Chinese Acad Sci, Inst Mech, Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China.; Wang, Z (reprint author), Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China.; Wang, Z (reprint author), Univ Bath, Dept Math Sci, Claverton Down, Bath BA2 7AY, Avon, England.
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| Source Publication | PHYSICS OF FLUIDS
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| 2017-03-01 | |
| Volume | 29Issue:3 |
| ISSN | 1070-6631 |
| Abstract | We are concerned with progressive waves propagating on a two-dimensional conducting fluid when a uniform electric field is applied in the direction perpendicular to the undisturbed free surface. The competing effects of gravity surface tension and electrically induced forces are investigated using both analytical and numerical techniques for an inviscid and incompressible fluid flowing irrotationally. We simplify the full Euler equations by expanding and truncating the Dirichlet-Neumann operators in the Hamiltonian formulation of the problem. The numerical results show that when the electric parameter is in a certain range the bifurcation structure near the minimum of the phase speed is rich with Stokes solitary generalized solitary and dark solitary waves. In addition to symmetric solutions asymmetric solitary waves featuring a multi-packet structure are found to occur along a branch of asymmetric generalized solitary waves that itself bifurcates from Stokes waves of finite amplitude. The detailed bifurcation diagrams together with typical wave profiles are presented. Published by AIP Publishing. |
| DOI | 10.1063/1.4979064 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000397874300016 |
| WOS Keyword | CAPILLARY SOLITARY WAVES ; ELECTRIC-FIELD ; DEEP-WATER ; STABILITY ; COMPUTATION ; EQUATION ; SHEETS ; DEPTH |
| WOS Research Area | Mechanics ; Physics |
| WOS Subject | Mechanics ; Physics, Fluids & Plasmas |
| Funding Organization | National Natural Science Foundation of China(11232012 ; Key Research Program of Frontier Sciences CAS(QYZDB-SSW-SYS015) ; Strategic Priority Research Program of the Chinese Academy of Sciences(XDB22040203) ; 11201419 ; J1210038 ; 51408141) |
| Department | LMFS水环境流体力学(LEM) |
| Classification | 一类/力学重要期刊 |
| Ranking | 1 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/60577 |
| Collection | 流固耦合系统力学重点实验室 |
| Corresponding Author | Wang, Z (reprint author), Chinese Acad Sci, Inst Mech, Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China.; Wang, Z (reprint author), Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China.; Wang, Z (reprint author), Univ Bath, Dept Math Sci, Claverton Down, Bath BA2 7AY, Avon, England. |
| Recommended Citation GB/T 7714 | Lin Z,Zhu Y,Wang Z,et al. Local bifurcation of electrohydrodynamic waves on a conducting fluid[J]. PHYSICS OF FLUIDS,2017,29(3). |
| APA | Lin Z,Zhu Y,王展,Wang, Z ,Wang, Z ,&Wang, Z .(2017).Local bifurcation of electrohydrodynamic waves on a conducting fluid.PHYSICS OF FLUIDS,29(3). |
| MLA | Lin Z,et al."Local bifurcation of electrohydrodynamic waves on a conducting fluid".PHYSICS OF FLUIDS 29.3(2017). |
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| JouAr-2017-073.pdf（1016KB） | 期刊论文 | 作者接受稿 | 开放获取 | CC BY-NC-SA | View Download | |
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