dorsal/arxiv
View SchemaEffects of curvature on hydrothermal waves instability of radial thermocapillary flows
| Authors | Nicolas Garnier, Christiane Normand |
|---|---|
| Categories | |
| ArXiv ID | physics/0301029 |
| URL | https://arxiv.org/abs/physics/0301029 |
| Journal | Comptes-rendus de l'Academie des Sciences 2001 2 (8) pp1227-1233 (2001) |
Abstract
The stability of a thermocapillary flow in an extended cylindrical geometry is analyzed. This flow occurs in a thin liquid layer with a disk shape when a radial temperature gradient is applied along the horizontal free surface. Besides the aspect ratio, a second parameter related to the local curvature is introduced to describe completely the geometrical effects. We recover classical hydrothermal waves as predicted by Smith and Davis but the properties of these waves are shown to evolve with the curvature parameter, thus leading to a non uniform pattern over the cell. Moreover, it is shown that the problem is not invariant with respect to the exchange of the hot and cold sides.
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"abstract": "The stability of a thermocapillary flow in an extended cylindrical geometry\nis analyzed. This flow occurs in a thin liquid layer with a disk shape when a\nradial temperature gradient is applied along the horizontal free surface.\nBesides the aspect ratio, a second parameter related to the local curvature is\nintroduced to describe completely the geometrical effects. We recover classical\nhydrothermal waves as predicted by Smith and Davis but the properties of these\nwaves are shown to evolve with the curvature parameter, thus leading to a non\nuniform pattern over the cell. Moreover, it is shown that the problem is not\ninvariant with respect to the exchange of the hot and cold sides.",
"arxiv_id": "physics/0301029",
"authors": [
"Nicolas Garnier",
"Christiane Normand"
],
"categories": [
"physics.flu-dyn",
"nlin.PS"
],
"journal_ref": "Comptes-rendus de l\u0027Academie des Sciences 2001 2 (8) pp1227-1233\n (2001)",
"title": "Effects of curvature on hydrothermal waves instability of radial thermocapillary flows",
"url": "https://arxiv.org/abs/physics/0301029"
},
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