Modelling nonlinear electrohydrodynamic surface waves over three-dimensional conducting fluids

doi:10.1098/rspa.2016.0817

IMECH-IR > 流固耦合系统力学重点实验室

	Modelling nonlinear electrohydrodynamic surface waves over three-dimensional conducting fluids
	Wang Z(王展); Wang, Z (reprint author), Chinese Acad Sci, Inst Mech, Key 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.
发表期刊	PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
	2017-04-01
卷号	473 期号:2200
ISSN	1364-5021
摘要	The evolution of the free surface of a three-dimensional conducting fluid in the presence of gravity, surface tension and vertical electric field due to parallel electrodes, is considered. Based on the analysis of the Dirichlet-Neumann operators, a series of fully nonlinear models is derived systematically from the Euler equations in the Hamiltonian framework without assumptions on competing length scales can therefore be applied to systems of arbitrary fluid depth and to disturbances with arbitrary wavelength. For special cases, well-known weakly nonlinear models in shallow and deep fluids can be generalized via introducing extra electric terms. It is shown that the electric field has a great impact on the physical system and can change the qualitative nature of the free surface: (i) when the separation distance between two electrodes is small compared with typical wavelength, the Boussinesq, Benney-Luke (BL) and Kadomtsev-Petviashvili (KP) equations with modified coefficients are obtained, and electric forces can turn KP-I to KP-II and vice versa; (ii) as the parallel electrodes are of large separation distance but the thickness of the liquid is much smaller than typical wavelength, we generalize the BL and KP equations by adding pseudo-differential operators resulting from the electric field; (iii) for a quasi-monochromatic plane wave in deep fluid, we derive the cubic nonlinear Schrodinger (NLS) equation, but its type (focusing or defocusing) is strongly influenced by the value of the electric parameter. For sufficient surface tension, numerical studies reveal that lump-type solutions exist in the aforementioned three regimes. Particularly, even when the associated NLS equation is defocusing for a wave train, lumps can exist in fully nonlinear models.
关键词	Electrohydrodynamics Lump Free-surface Wave
DOI	10.1098/rspa.2016.0817
URL	查看原文
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000408470700012
关键词[WOS]	SOLITARY WAVES ; ELECTRIC-FIELD ; WATER-WAVES ; INSTABILITY ; STABILITY ; EVOLUTION ; DYNAMICS ; EQUATION ; SHEETS
WOS研究方向	Science & Technology - Other Topics
WOS类目	Multidisciplinary Sciences
项目资助者	Strategic Priority Research Program of the Chinese Academy of Sciences(XDB22040203) ; Key Research Program of Frontier Sciences, CAS(QYZDB-SSW-SYS015)
课题组名称	LMFS水环境流体力学(LEM)
论文分区	二类
力学所作者排名	1
引用统计	被引频次：21[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/70046
专题	流固耦合系统力学重点实验室
通讯作者	Wang, Z (reprint author), Chinese Acad Sci, Inst Mech, Key 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.
推荐引用方式 GB/T 7714	Wang Z,Wang, Z ,Wang, Z . Modelling nonlinear electrohydrodynamic surface waves over three-dimensional conducting fluids[J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,2017,473,2200,.
APA	王展,Wang, Z ,&Wang, Z .(2017).Modelling nonlinear electrohydrodynamic surface waves over three-dimensional conducting fluids.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,473(2200).
MLA	王展,et al."Modelling nonlinear electrohydrodynamic surface waves over three-dimensional conducting fluids".PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 473.2200(2017).

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