Projects per year
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.
Original language | English |
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Pages (from-to) | 459-463 |
Journal | European Journal of Mechanics - B/Fluids |
Volume | 65 |
Early online date | 14 Feb 2017 |
DOIs | |
Publication status | Published - Sep 2017 |
Keywords
- Weakly nonlinear waves
- Electrohydrodynamics
Projects
- 1 Finished
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The Mathematics of Multilayer Microfluidics: Analysis, Hybrid Modelling and Novel Simulations Underpinning New Technologies at the Microscale.
Blyth, M., Papageorgiou, D., Crowdy, D. & Tseluiko, D.
Engineering and Physical Sciences Research Council
1/02/14 → 31/01/17
Project: Research