# On the Marangoni and gravity flow in an inclined channel of an arbitrary section

## Abstract

In this paper we use a lubrication approximation in order to investigate the flow of a thin layer of a viscous fluid (rivulet, trickle) confined to a channel of an arbitrary transverse section driven simultaneously by a constant surface tension gradient. The work extends some results of Wilson and Duffy (1998) of gravity-driven thin trickle of viscous fluid which include the effects of surface tension gradient. It acts on the free surface of the layer. At the same time we try an alternative analysis to our traditional approaches (Chifu, Gheorghiu, Stan 1984).  Numerical results concerning the free-surface profile are carried out.

## Authors

E. Borsa
University of Oradea, Deparment of Mathematics

C. I. Gheorghiu
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

## Keywords

slow viscous flow; thin film approximation; surface tension gradient; shear tangential stress; gravity-driven flow

## Cite this paper as:

E. Borşa. C. I. Gheorghiu, On the Marangoni and gravity flow in an inclined channel of an arbitrary section, Rev. Roum. Sci Techn.-Mec. Appl., 45 (2000) 255-264.

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##### Journal

Rev. Roum. Sci Techn.-Mec. Appl.

0035-4074

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