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Gravity-driven thin film flow : the influence of topography and surface tension gradient on rivulet formation.

Slade, D. and Veremieiev, S. and Lee, Y.C. and Gaskell, P.H. (2013) 'Gravity-driven thin film flow : the influence of topography and surface tension gradient on rivulet formation.', Chemical engineering and processing : process intensification., 68 . pp. 7-12.


The evolution of an advancing fluid front formed by a gravity-driven thin film flowing down a planar substrate is considered, with particular reference to the presence of Marangoni stresses and/or surface topography. The system is modelled using lubrication theory and solved via an efficient, adaptive multigrid method that incorporates automatic, error-controlled grid refinement/derefinement and time stepping. The detailed three dimensional numerical results obtained reveal that, for the problems investigated, while both of the above features affect the merger of rivulets by either delaying or promoting the same, topography influences the direction of growth.

Item Type:Article
Keywords:Thin film, Rivulet, Lubrication theory, Marangoni stress, Topography.
Full text:(AM) Accepted Manuscript
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Publisher statement:NOTICE: this is the author’s version of a work that was accepted for publication in Chemical Engineering and Processing: Process Intensification. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Chemical Engineering and Processing: Process Intensification, 68, June 2013, 10.1016/j.cep.2012.07.003.
Date accepted:11 July 2012
Date deposited:21 August 2015
Date of first online publication:20 July 2012
Date first made open access:No date available

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