Existence of solitary travelling waves in interfacial electrohydrodynamics

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Abstract

The propagation of waves on the surface of a fluid layer of finite depth is considered in the presence of a normal electric field, due to parallel electrodes at arbitrary separation distance. The combined effect of electric field, gravity and surface tension is considered in the long-wavelength small-amplitude limit. Travelling wave solutions are characterised in terms of the Froude number, an electric Weber number and a Bond number and conditions for the existence of solitary waves are determined in terms of these parameters.
Original languageEnglish
Pages (from-to)676-686
Number of pages11
JournalWave Motion
Volume50
Issue number4
DOIs
Publication statusPublished - Jun 2013

Keywords

  • Electrohydrodynamics
  • Solitary waves
  • Korteweg-de Vries
  • Benjamin-Ono
  • Asymptotics

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