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Free‐surface film flow over topography under electric fields
Author(s) -
Tseluiko D.,
Blyth M. G.,
Papageorgiou D. T.,
VandenBroeck J.M.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700432
Subject(s) - trench , flow (mathematics) , electric field , free surface , mechanics , surface (topology) , steady state (chemistry) , boundary element method , physics , geology , materials science , finite element method , geometry , chemistry , thermodynamics , mathematics , nanotechnology , layer (electronics) , quantum mechanics
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)