publication . Article . 2004

Gravity-driven flow of continuous thin liquid films on non-porous substrates with topography

Gaskell, P.H.; Jimack, P.K.; Sellier, M.; Thompson, H.M.; Wilson, M.C.T.;
Open Access English
  • Published: 25 Jun 2004
  • Publisher: Cambridge University Press
  • Country: United Kingdom
Abstract
A range of two- and three-dimensional problems is explored featuring the gravity-driven flow of a continuous thin liquid film over a non-porous inclined flat surface containing well-defined topography. These are analysed principally within the framework of the lubrication approximation, where accurate numerical solution of the governing nonlinear equations is achieved using an efficient multigrid solver.\ud \ud Results for flow over one-dimensional steep-sided topographies are shown to be in very good agreement with previously reported data. The accuracy of the lubrication approximation in the context of such topographies is assessed and quantified by comparison...
Subjects
arXiv: Physics::Fluid Dynamics
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