Gao, Tao ORCID: https://orcid.org/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:10.1016/j.euromechflu.2019.04.007)

Preview

PDF (Author's Accepted Manuscript) 25950 GAO_Capillary-gravity_Waves_On_A_Dielectric_Fluid_Of_Finite_Depth_(AAM)_2019.pdf - Accepted Version Available under License Creative Commons Attribution Non-commercial No Derivatives. Download (704kB) | Preview

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 / School / Research Centre / Research Group:	Faculty of Engineering & Science > School of Computing & Mathematical Sciences (CMS) Faculty of Engineering & Science
Last Modified:	04 Mar 2022 13:06
URI:	http://gala.gre.ac.uk/id/eprint/25950

Actions (login required)

View Item

Downloads