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Download fileThe effect of a normal electric field on wave propagation on a fluid film
journal contribution
posted on 2023-05-18, 15:44 authored by Hammerton, PW, Andrew BassomAndrew BassomLong-wavelength, small-amplitude disturbances on the surface of a fluid layer subject to a normal electric field are considered. In our model, a dielectric medium lies above a layer of perfectly conducting fluid, and the electric field is produced by parallel plate electrodes. The Reynolds number of the fluid flow is taken to be large, with viscous effects restricted to a thin boundary layer on the lower plate. The effects of surface tension and electric field enter the governing equation through an inverse Bond number and an electrical Weber number, respectively. The thickness of the lower fluid layer is assumed to be much smaller than the disturbance wavelength, and a unified analysis is presented allowing for the full range of scalings for the thickness of the upper dielectric medium. A variety of different forms of modified Korteweg-de Vries equation are derived, involving Hilbert transforms, convolution terms, higher order spatial derivatives, and fractional derivatives. Critical values are identified for the inverse Bond number and electrical Weber number at which the qualitative nature of the disturbances changes.
History
Publication title
Physics of FluidsVolume
26Article number
012107Number
012107Pagination
1-13ISSN
1070-6631Department/School
School of Natural SciencesPublisher
Amer Inst PhysicsPlace of publication
Circulation & Fulfillment Div, 2 Huntington Quadrangle, Ste 1 N O 1, Melville, USA, Ny, 11747-4501Rights statement
Copyright 2014 AIP Publishing LLCRepository Status
- Open