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Large-amplitude capillary waves in electrified fluid sheets

Published online by Cambridge University Press:  03 June 2004

DEMETRIOS T. PAPAGEORGIOU  and
JEAN-MARC VANDEN-BROECK
DEMETRIOS T. PAPAGEORGIOU
Affiliation:
Department of Mathematical Sciences and Center for Applied Mathematics and Statistics, New Jersey Institute of Technology, Newark, NJ 07102, USA
JEAN-MARC VANDEN-BROECK
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK
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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
Papers
Information
Journal of Fluid Mechanics , Volume 508 , 10 June 2004 , pp. 71 - 88
Copyright
© 2004 Cambridge University Press

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