Journal
COMPTES RENDUS MECANIQUE
Volume 330, Issue 9, Pages 633-640Publisher
ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
DOI: 10.1016/S1631-0721(02)01510-3
Keywords
computational fluid mechanics; linear stability; natural convection; annular Hele-Shaw cell; Coriolis forces; centrifugal forces
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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.
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