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

Emilia Borşa; Călin Ioan Gheorghiu

doi:10.33993/jnaat302-691

Authors

Emilia Borşa University of Oradea, Romania
Călin Ioan Gheorghiu Tiberiu Popoviciu Institute of Numerical Analysis Academy, Romania

DOI:

https://doi.org/10.33993/jnaat302-691

Keywords:

viscous flow, thin film approximation, surface tension gradient

Abstract views: 239

Abstract

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.

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