Hunt, MJ;
Vanden-Broeck, J-M;
Papageorgiou, DT;
Parau, EI;
(2017)
Benjamin–Ono Kadomtsev–Petviashvili’s models in interfacial electro-hydrodynamics.
European Journal of Mechanics - B/Fluids
, 65
pp. 459-463.
10.1016/j.euromechflu.2017.01.015.
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Abstract
Three-dimensional nonlinear potential free surface flows in the presence of vertical electric fields are considered. Both the effects of gravity and surface tension are included in the dynamic boundary condition. An asymptotic analysis (based on the assumptions of small depth and small free surface displacements) is presented. It is shown that the problem can be modelled by a Benjamin–Ono Kadomtsev–Petviashvili equation. Furthermore a fifth order Benjamin–Ono Kadomtsev–Petviashvili equation is derived to describe the flows in the particular case of values of the Bond number close to 1/3.
| Type: | Article |
|---|---|
| Title: | Benjamin–Ono Kadomtsev–Petviashvili’s models in interfacial electro-hydrodynamics |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.euromechflu.2017.01.015 |
| Publisher version: | http://doi.org/10.1016/j.euromechflu.2017.01.015 |
| 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: | Weakly nonlinear waves, Electrohydrodynamics |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices 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/1553237 |
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