Projects per year
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.
- Weakly nonlinear waves
- 1 Finished
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.
1/02/14 → 31/01/17