Gravity-driven flow of evaporating thin liquid films over substrates with topography (2003)
AuthorsGaskell, P.H., Jimack, P.K., Sellier, M., Thompson, H.M.show all
This paper considers gravity-driven flow of thin liquid films over substrates with topography, the non-evaporating case of which has recently been studied experimentally (Decre and Baret 2003) and numerically (Gaskell et al 2003a), and extends the latter to consider the effects of solvent evaporation. In contrast to most previous studies, which have used semi-implicit timesplitting methods to solve the governing nonlinear time-dependent lubrication equations, the present one uses an efficient Multigrid method with adaptive time-stepping. Numerical solutions illustrating the effects of solvent evaporation, and the associated increase in viscosity, for the chosen test problem are presented here for the first time.
CitationGaskell, P.H., Jimack, P.K., Sellier, M., Thompson, H.M. (2003) Gravity-driven flow of evaporating thin liquid films over substrates with topography. Fribourg, Switzerland: ECS, Sept 2003.
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