UCL Discovery
UCL home » Library Services » Electronic resources » UCL Discovery

Large-amplitude capillary waves in electrified fluid sheets

Papageorgiou, DT; Vanden-Broeck, J; (2004) Large-amplitude capillary waves in electrified fluid sheets. Journal of Fluid Mechanics , 508 71 - 88. 10.1017/S0022112004008997. Green open access

[thumbnail of 13871.pdf]
Preview
PDF
13871.pdf

Download (191kB)

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.ucl.ac.uk/id/eprint/13871
Downloads since deposit
Loading...
656Downloads
Download activity - last month
Loading...
Download activity - last 12 months
Loading...
Downloads by country - last 12 months
Loading...

Archive Staff Only

View Item View Item