Effets des forces de Coriolis sur le seuil convectif stationnaire d'une couche liquide confinée en cellule de Hele–Shaw annulaire en rotationEffects of the Coriolis forces on the stationary convectif threshold of a liquid layer confined in an annular Hele–Shaw Cell in rotation |
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Authors: | Sepehr Ramezani Saı̈d Aniss Mohamed Souhar |
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Institution: | 1. LEMTA-UMR CNRS 7563-ENSEM, 2, av. de la Forêt de Haye, BP 160, Vandoeuvre-lès-Nancy 54504, France;2. Faculté des sciences A??n Chok, UFR de mécanique BP 5366, Maarif, Casablanca, Maroc |
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Abstract: | The convective instability of a horizontal liquid layer confined in an annular Hele–Shaw cell subject to a constant rotation and submitted to a centrifugal gradient of temperature is investigated. Using a linear stability analysis, we study the effects of both Coriolis forces and curvature aspect on the stationary convective threshold when the Prandtl number is of the order of unity or larger than unity. We show that the Coriolis forces have a stabilizing effect, and the wave number is independent of these forces. However, a multicellular regime in the radial direction is observed for small Ekman numbers. The results related to the influence of the curvature are also shown. To cite this article: S. Ramezani et al., C. R. Mecanique 330 (2002) 633–640. |
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Keywords: | mécanique des fluides numérique stabilité linéaire convection naturelle cellule de Hele–Shaw annulaire forces centrifuges forces de Coriolis computational fluid mechanics linear stability natural convection annular Hele–Shaw cell Coriolis forces centrifugal forces |
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