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Free-surface film flow over topography under electric fields |
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| Authors: | D Tseluiko M G Blyth D T Papageorgiou J-M Vanden-Broeck |
| Institution: | 1. School of Mathematics, University of East Anglia, Norwich, NR4 7TJ, UK;2. Department of Mathematical Sciences, New Jersey Institute of Technology, University Heights, Newark, NJ 07102, USA;3. School of Mathematics, University of East Anglia, Norwich, NR4 7TJ, UK
Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK |
| Abstract: | We study a gravity-driven flow of a liquid down an inclined uneven wall in the presence of a normal electric field. We derive an evolution equation for the free-surface, and analyse steady-state solutions for flows into a rectangular trench and over a rectangular mound. The results are corroborated by boundary-element calculations for Stokes flow. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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