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Capillary–gravity waves on a dielectric fluid of finite depth under normal electric field

Capillary–gravity waves on a dielectric fluid of finite depth under normal electric field

Gao, Tao ORCID: 0000-0002-6425-1568, Doak, Alex, Vanden-Broeck, Jean-Marc and Wang, Zhan (2019) Capillary–gravity waves on a dielectric fluid of finite depth under normal electric field. European Journal of Mechanics - B/Fluids, 77. pp. 98-107. ISSN 0997-7546 (doi:https://doi.org/10.1016/j.euromechflu.2019.04.007)

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Abstract

In this work we consider two-dimensional capillary–gravity waves propagating under the influence of a vertical electric field on a dielectric of finite depth bounded above by a perfectly conducting and hydrodynamically passive fluid. Both linear and weakly nonlinear theories are developed, and long-wave model equations are derived based on the analyticity of the Dirichlet–Neumann operator. Fully nonlinear computations are carried out by using a time-dependent conformal mapping method. Solitary waves are found, and their stability characteristics subject to longitudinal perturbations are studied numerically. The shedding of stable solitary waves is achieved by moving a Gaussian pressure on the free surface with the speed close to a phase speed minimum and removing the pressure after a period of time. The novel result shows that a depression bright solitary wave and an elevation generalized solitary wave co-exist in the solitary-wave excitation.

Item Type: Article
Uncontrolled Keywords: electrohydrodynamics, capillary-gravity waves, free boundary
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Faculty / Department / Research Group: Faculty of Liberal Arts & Sciences
Faculty of Liberal Arts & Sciences > Department of Mathematical Sciences
Last Modified: 07 Nov 2019 13:52
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
Selected for GREAT 2019: None
URI: http://gala.gre.ac.uk/id/eprint/25950

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