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.
刊名PHYSICS OF FLUIDS
2017-03-01
卷号29期号:3
ISSN号1070-6631
DOI10.1063/1.4979064
文献子类Article
英文摘要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.
分类号一类/力学重要期刊
WOS关键词CAPILLARY SOLITARY WAVES ; ELECTRIC-FIELD ; DEEP-WATER ; STABILITY ; COMPUTATION ; EQUATION ; SHEETS ; DEPTH
WOS研究方向Mechanics ; Physics
语种英语
WOS记录号WOS:000397874300016
资助机构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)
内容类型期刊论文
源URL[http://dspace.imech.ac.cn/handle/311007/60577]  
专题力学研究所_流固耦合系统力学重点实验室(2012-)
通讯作者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.
推荐引用方式
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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