Existence of solitary travelling waves in interfacial electrohydrodynamics

Hammerton, Paul (2013) Existence of solitary travelling waves in interfacial electrohydrodynamics. Wave Motion, 50 (4). pp. 676-686.

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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.

Item Type:	Article
Uncontrolled Keywords:	electrohydrodynamics,solitary waves,korteweg-de vries,benjamin-ono,asymptotics
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Fluid and Solid Mechanics (former - to 2024) Faculty of Science > Research Groups > Fluids & Structures
Depositing User:	Paul Hammerton
Date Deposited:	19 Apr 2013 08:28
Last Modified:	07 Nov 2024 12:32
URI:	https://ueaeprints.uea.ac.uk/id/eprint/41570
DOI:	10.1016/j.wavemoti.2013.01.003

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