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Antisymmetric capillary waves in electrified fluid sheets

Published online by Cambridge University Press:  03 May 2005

D. T. PAPAGEORGIOU  and
J.-M. VANDEN-BROECK
D. T. PAPAGEORGIOU
Affiliation:
Department of Mathematical Sciences and Center for Applied Mathematics and Statistics, New Jersey Institute of Technology, University Heights, Newark, NJ 07102, USA email: depapa@oak.njit.edu
J.-M. VANDEN-BROECK
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK
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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.

Type
Papers
Information
European Journal of Applied Mathematics , Volume 15 , Issue 6 , December 2004 , pp. 609 - 623
Copyright
2004 Cambridge University Press

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