IMECH-IR  > 流固耦合系统力学重点实验室
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.
Source PublicationPHYSICS OF FLUIDS
2017-03-01
Volume29Issue:3
ISSN1070-6631
AbstractWe 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.
DOI10.1063/1.4979064
Indexed BySCI ; EI
Language英语
WOS IDWOS:000397874300016
WOS KeywordCAPILLARY SOLITARY WAVES ; ELECTRIC-FIELD ; DEEP-WATER ; STABILITY ; COMPUTATION ; EQUATION ; SHEETS ; DEPTH
WOS Research AreaMechanics ; Physics
WOS SubjectMechanics ; Physics, Fluids & Plasmas
Funding OrganizationNational 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)
DepartmentLMFS水环境流体力学(LEM)
Classification一类/力学重要期刊
Ranking1
Citation statistics
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/60577
Collection流固耦合系统力学重点实验室
Corresponding AuthorWang, 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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