Vanden-Broeck, J-M;
Gao, T;
Doak, A;
Wang, Z;
(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.
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 generalised solitary wave co-exist in the solitary-wave excitation
| Type: | Article |
|---|---|
| Title: | Capillary-gravity waves on a dielectric fluid of finite depth under normal electric field |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.euromechflu.2019.04.007 |
| Publisher version: | https://doi.org/10.1016/j.euromechflu.2019.04.007 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | surface wave, solitary wave, electrohydrodyanmics, capillary wave |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10072838 |
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