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.
Original language | English |
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Pages (from-to) | 98-107 |
Number of pages | 10 |
Journal | European Journal of Mechanics, B/Fluids |
Volume | 77 |
Early online date | 20 Jun 2019 |
DOIs | |
Publication status | Published - 30 Sept 2019 |
Keywords
- Capillary wave
- Electrohydrodynamics
- Solitary wave
- Surface wave
ASJC Scopus subject areas
- Mathematical Physics
- General Physics and Astronomy