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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Publishing House of the Romanian Academy
2001-08-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://www.ictp.acad.ro/jnaat/journal/article/view/691 |
| 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. |
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| ISSN: | 2457-6794 2501-059X |