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 |
| _version_ | 1828762321343741952 |
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| author | Emilia Borşa Călin Ioan Gheorghiu |
| author_facet | Emilia Borşa Călin Ioan Gheorghiu |
| author_sort | Emilia Borşa |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-11T01:42:47Z |
| format | Article |
| id | doaj.art-d5ae26f688bb41dba09a3abdb1fa2499 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-12-11T01:42:47Z |
| publishDate | 2001-08-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-d5ae26f688bb41dba09a3abdb1fa24992022-12-22T01:24:59ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2001-08-01302On the flow of a viscous thin layer on an inclined plane driven by a constant surface tension gradientEmilia Borşa0Călin Ioan Gheorghiu1University of OradeaTiberiu Popoviciu Institute of Numerical Analysis Academy, RomaniaSteady 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.https://www.ictp.acad.ro/jnaat/journal/article/view/691viscous flowthin film approximationsurface tension gradient |
| spellingShingle | Emilia Borşa Călin Ioan Gheorghiu On the flow of a viscous thin layer on an inclined plane driven by a constant surface tension gradient Journal of Numerical Analysis and Approximation Theory viscous flow thin film approximation surface tension gradient |
| title | On the flow of a viscous thin layer on an inclined plane driven by a constant surface tension gradient |
| title_full | On the flow of a viscous thin layer on an inclined plane driven by a constant surface tension gradient |
| title_fullStr | On the flow of a viscous thin layer on an inclined plane driven by a constant surface tension gradient |
| title_full_unstemmed | On the flow of a viscous thin layer on an inclined plane driven by a constant surface tension gradient |
| title_short | On the flow of a viscous thin layer on an inclined plane driven by a constant surface tension gradient |
| title_sort | on the flow of a viscous thin layer on an inclined plane driven by a constant surface tension gradient |
| topic | viscous flow thin film approximation surface tension gradient |
| url | https://www.ictp.acad.ro/jnaat/journal/article/view/691 |
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