Papageorgiou, DT;
Vanden-Broeck, J;
(2004)
Large-amplitude capillary waves in electrified fluid sheets.
Journal of Fluid Mechanics
, 508
71 - 88.
10.1017/S0022112004008997.
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Abstract
Large-amplitude capillary waves on fluid sheets are computed in the presence of a uniform electric field acting in a direction parallel to the undisturbed configuration. The fluid is taken to be inviscid, incompressible and non-conducting. Travelling waves of arbitrary amplitudes and wavelengths are calculated and the effect of the electric field is studied. The solutions found generalize the exact symmetric solutions of Kinnersley (1976) to include electric fields, for which no exact solutions have been found. Long-wave nonlinear waves are also constructed using asymptotic methods. The asymptotic solutions are compared with the full computations as the wavelength increases, and agreement is found to be excellent.
| Type: | Article |
|---|---|
| Title: | Large-amplitude capillary waves in electrified fluid sheets |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1017/S0022112004008997 |
| Publisher version: | http://dx.doi.org/10.1017/S0022112004008997 |
| Language: | English |
| Additional information: | © 2004 Cambridge University Press |
| Keywords: | waves, capillary, electrified |
| 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-pp.ucl.ac.uk/id/eprint/13871 |
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