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The effect of a normal electric field on wave propagation on a fluid film
Citation
Hammerton, PW and Bassom, AP, The effect of a normal electric field on wave propagation on a fluid film, Physics of Fluids, 26, (1) Article 012107. ISSN 1070-6631 (2014) [Refereed Article]
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Copyright 2014 AIP Publishing LLC
Abstract
Long-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.
Item Details
Item Type: | Refereed Article |
---|---|
Research Division: | Mathematical Sciences |
Research Group: | Applied mathematics |
Research Field: | Theoretical and applied mechanics |
Objective Division: | Expanding Knowledge |
Objective Group: | Expanding knowledge |
Objective Field: | Expanding knowledge in the mathematical sciences |
UTAS Author: | Bassom, AP (Professor Andrew Bassom) |
ID Code: | 105699 |
Year Published: | 2014 |
Web of Science® Times Cited: | 7 |
Deposited By: | Mathematics and Physics |
Deposited On: | 2016-01-13 |
Last Modified: | 2017-11-01 |
Downloads: | 124 View Download Statistics |
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