## 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 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.

## Authors

**Gheorghiu**

Tiberiu Popoviciu Institute of Numerical Analysis

**Borşa**

University of Oradea

## Keywords

viscous flow; thin film approximation; surface tension gradien

### References

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## Cite this paper as

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.

## About this paper

##### Journal

Rev. Anal. Numér. Théor. Approx.

##### Publisher Name

Editions de l’Academie Roumaine

##### Article on journal website

##### Print ISSN

1222-9024

##### Online ISSN

2457-8126

##### MR

?

##### ZBL

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## References

## Paper in html format

## References

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