On the flow of a viscous thin layer on an inclined solid 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 the free surface of the layer. At the same time the work tries an alternative analysis to our traditional 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.


C.I. Gheorghiu
Tiberiu Popoviciu Institute of Numerical Analysis
Emilia Borşa

University of Oradea


viscous flow; thin film approximation; surface tension gradien


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C.I. Gheorghiu, E. Borşa, On the flow of a viscous thin layer on an inclined solid plane driven by a constant surface tension gradient, Rev. Anal. Numér. Théor. Approx. 30 (2001) 127-134.


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Rev. Anal. Numér. Théor. Approx.

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