| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4992294 | European Journal of Mechanics - B/Fluids | 2017 | 16 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Chemical Engineering
Fluid Flow and Transfer Processes
Authors
M.J. Hunt, J.-M. Vanden-Broeck, D.T. Papageorgiou, E.I. Parau,