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Title:
Local bifurcation of electrohydrodynamic waves on a conducting fluid
Author: Lin Z; Zhu Y; Wang Z(王展)
Source: PHYSICS OF FLUIDS
Issued Date: 2017-03-01
Volume: 29, Issue:3
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.
Language: 英语
Indexed Type: SCI ; EI
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.
Correspondent Email: z.wang5@bath.ac.uk
DOI: 10.1063/1.4979064
DOC Type: Article
WOS Subject: Mechanics ; Physics, Fluids & Plasmas
WOS Subject Extended: Mechanics ; Physics
WOS Keyword Plus: CAPILLARY SOLITARY WAVES ; ELECTRIC-FIELD ; DEEP-WATER ; STABILITY ; COMPUTATION ; EQUATION ; SHEETS ; DEPTH
WOS ID: WOS:000397874300016
ISSN: 1070-6631
Funder: 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:
Content Type: 期刊论文
URI: http://dspace.imech.ac.cn/handle/311007/60577
Appears in Collections:流固耦合系统力学重点实验室(2012-)_期刊论文

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Recommended Citation:
Lin Z,Zhu Y,Wang Z. Local bifurcation of electrohydrodynamic waves on a conducting fluid[J]. PHYSICS OF FLUIDS,2017-03-01,29(3).
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