Antisymmetric capillary waves in electrified fluid sheets

Document Type

Article

Publication Date

12-1-2004

Abstract

Capillary waves on fluid sheets are computed in the presence of a uniform electric field acting horizontally with respect to the undisturbed configuration. The fluid is taken to be inviscid, incompressible and nonconducting. In previous work (Papageorgiou & Vanden-Broeck [14]) symmetric travelling waves were investigated In this paper we show that there are in addition antisymmetric waves. These waves are calculated numerically for arbitrary amplitudes and wavelengths and the effect of the electric field is studied. The numerical procedure is based on a reformulation of the problem as a system of nonlinear integro-differential equations. © 2004 Cambridge University Press.

Identifier

2942668900 (Scopus)

Publication Title

European Journal of Applied Mathematics

External Full Text Location

https://doi.org/10.1017/S0956792504005790

ISSN

09567925

First Page

609

Last Page

623

Issue

6

Volume

15

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