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Flow of evaporating, gravity-driven thin liquid films over topography

Gaskell, P.H., Jimack, P.K., Sellier, M. and Thompson, H.M. (2006) Flow of evaporating, gravity-driven thin liquid films over topography. Physics of Fluids, 18 (Art. No. 013601). 14 pages. ISSN 1070-6631

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Abstract

The effect of topography on the free surface and solvent concentration profiles of an evaporating thin film of liquid flowing down an inclined plane is considered. The liquid is assumed to be composed of a resin dissolved in a volatile solvent with the associated solvent concentration equation derived on the basis of the well-mixed approximation. The dynamics of the film is formulated as a lubrication approximation and the effect of a composition-dependent viscosity is included in the model. The resulting time-dependent, nonlinear, coupled set of governing equations is solved using a full approximation storage multigrid method.

The approach is first validated against a closed-form analytical solution for the case of a gravity-driven, evaporating thin film flowing down a flat substrate. Analysis of the results for a range of topography shapes reveal that although a full-width, spanwise topography such as a step-up or a step-down does not affect the composition of the film, the same is no longer true for the case of localized topography, such as a peak or a trough, for which clear nonuniformities of the solvent concentration profile can be observed in the wake of the topography.

Item Type: Article
Copyright, Publisher and Additional Information: © 2006 American Institute of Physics. This is an author produced version of a paper published in 'Physics of Fluids'.
Academic Units: The University of Leeds > Faculty of Engineering (Leeds) > School of Computing (Leeds)
The University of Leeds > Faculty of Engineering (Leeds) > School of Mechanical Engineering (Leeds) > Institute of Engineering Thermofluids, Surfaces & Interfaces (iETSI) (Leeds)
Depositing User: Repository Assistant
Date Deposited: 13 Dec 2006
Last Modified: 08 Feb 2013 17:03
Published Version: http://dx.doi.org/10.1063/1.2148993
Status: Published
Publisher: American Institute of Physics
Refereed: Yes
Identification Number: 10.1063/1.2148993
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/1783

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