Comptes Rendus
Instabilities and bifurcations due to buoyancy in a cylindrical container heated from below with and without a free surface
Comptes Rendus. Mécanique, Volume 337 (2009) no. 11-12, pp. 716-721.

Three-dimensional simulations of the buoyant convection in a cylindrical container heated from below are presented. Both the thresholds for the onset of the convection and the nonlinear evolution of this convection are calculated. The simulations concern two configurations: a cavity with a rigid upper surface (Rigid-Rigid case) and a cavity with a non-constrained free surface (Rigid-Free case). The results show a similar variation of the primary thresholds with the aspect ratio for the two configurations. In contrast, the nonlinear evolution of the convection is much changed between the two configurations. In particular, subcritical secondary branches with a very large subcriticity are obtained in the R-F case.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2009.10.001
Mots clés : Instability, Computational fluid mechanics, Stability, Buoyant flow, Free surface, Cylindrical cavity, Bifurcation analysis

Anas El Gallaf 1 ; Ridha Touihri 2 ; Daniel Henry 1 ; Hamda Ben Hadid 1

1 Laboratoire de mécanique des fluides et d'acoustique, CNRS/Université de Lyon, École centrale de Lyon/Université Lyon 1/INSA de Lyon, ECL, 36, avenue Guy-de-Collongue, 69134 Ecully cedex, France
2 LAMSIN, ENIT, campus universitaire, le belvédère, BP 37, 1002 Tunis, Tunisie
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Anas El Gallaf; Ridha Touihri; Daniel Henry; Hamda Ben Hadid. Instabilities and bifurcations due to buoyancy in a cylindrical container heated from below with and without a free surface. Comptes Rendus. Mécanique, Volume 337 (2009) no. 11-12, pp. 716-721. doi : 10.1016/j.crme.2009.10.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2009.10.001/

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