On the flow of a viscous thin layer on an inclined plane driven by a constant surface tension gradient

Steady flow of a thin layer (trickle, rivulet) of viscous fluid down an inclined surface is considered, via a thin-film approximation. The work extends the study by Duffy and Moffatt [7] of gravity-driven thin trickle of viscous fluid to include the effects of a surface tension gradient. It acts on...

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Bibliographic Details
Published inJournal of numerical analysis and approximation theory Vol. 30; no. 2
Main Authors Emilia Borşa, Călin Ioan Gheorghiu
Format Journal Article
LanguageEnglish
Published Publishing House of the Romanian Academy 01.08.2001
Subjects
surface tension gradient
thin film approximation
viscous flow
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Summary:Steady flow of a thin layer (trickle, rivulet) of viscous fluid down an inclined surface is considered, via a thin-film approximation. The work extends the study by Duffy and Moffatt [7] of gravity-driven thin trickle of viscous fluid to include the effects of a surface tension gradient. It acts on the free surface of the layer. At the same time the work tries an alternative analysis to our tradi- tional approaches exposed in [6] and the papers quoted there. Asymptotic and numerical results for several values of volume flux and surface tension gradients are carried out.
ISSN:2457-6794
2501-059X
DOI:10.33993/jnaat302-691