Effects of curvature on hydrothermal waves instability of radial thermocapillary flows

dc.creatorGarnier, Nicolas
dc.creatorNormand, Christiane
dc.date2003-01-14
dc.date.accessioned2026-07-07T05:48:41Z
dc.date.available2026-07-07T05:48:41Z
dc.descriptionThe 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.
dc.description2 figures, 10 pages (including a short version (2 pages) in french)
dc.identifierhttps://arxiv.org/abs/physics/0301029
dc.identifierhttp://arxiv.org/abs/physics/0301029
dc.identifierComptes-rendus de l'Academie des Sciences 2001 2 (8) pp1227-1233 (2001)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/85113
dc.subjectFluid Dynamics
dc.subjectPattern Formation and Solitons
dc.titleEffects of curvature on hydrothermal waves instability of radial thermocapillary flows
dc.typetext

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