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.
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Anas El Gallaf 1 ; Ridha Touihri 2 ; Daniel Henry 1 ; Hamda Ben Hadid 1
@article{CRMECA_2009__337_11-12_716_0,
author = {Anas El Gallaf and Ridha Touihri and Daniel Henry and Hamda Ben Hadid},
title = {Instabilities and bifurcations due to buoyancy in a cylindrical container heated from below with and without a free surface},
journal = {Comptes Rendus. M\'ecanique},
pages = {716--721},
publisher = {Elsevier},
volume = {337},
number = {11-12},
year = {2009},
doi = {10.1016/j.crme.2009.10.001},
language = {en},
}
TY - JOUR AU - Anas El Gallaf AU - Ridha Touihri AU - Daniel Henry AU - Hamda Ben Hadid TI - Instabilities and bifurcations due to buoyancy in a cylindrical container heated from below with and without a free surface JO - Comptes Rendus. Mécanique PY - 2009 SP - 716 EP - 721 VL - 337 IS - 11-12 PB - Elsevier DO - 10.1016/j.crme.2009.10.001 LA - en ID - CRMECA_2009__337_11-12_716_0 ER -
%0 Journal Article %A Anas El Gallaf %A Ridha Touihri %A Daniel Henry %A Hamda Ben Hadid %T Instabilities and bifurcations due to buoyancy in a cylindrical container heated from below with and without a free surface %J Comptes Rendus. Mécanique %D 2009 %P 716-721 %V 337 %N 11-12 %I Elsevier %R 10.1016/j.crme.2009.10.001 %G en %F CRMECA_2009__337_11-12_716_0
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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