We examine the linear stability of a liquid layer heated from below (the classical Rayleigh–Benard problem) but laterally confined between four vertical rigid and adiabatic boundaries. The main feature of the present study is that the height of the layer is much greater than the two other horizontal dimensions. The Soret effect is also taken into account. The ultimate objective of the study is a better knowledge of the operation of thermogravitational columns, and the search for a possible new way to measure positive Soret coefficients based on the variation of the critical Rayleigh number.
On examine la stabilité linéaire d'une couche liquide chauffée par le bas (le problème classique de Rayleigh–Bénard) mais confinée latéralement par quatre parois rigides et adiabatiques. La caractéristique essentielle de cette étude est que la hauteur de la couche est beaucoup plus grande que les deux autres dimensions horizontales. On prend aussi en compte l'effet Soret. L'objectif ultime de cette étude est une meilleure connaissance du mode opératoire de colonnes thermogravitationnelles ainsi que la recherche d' une méthode nouvelle pour mesurer des coefficients Soret positifs, basée sur la variation du nombre de Rayleigh critique.
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Mot clés : Mécanique des fluides numérique, Rayleigh–Bénard, Stabilité, Galerkin, Thermodiffusion, Soret
Jean K. Platten 1; Manuel Marcoux 2; Abdelkader Mojtabi 2
@article{CRMECA_2007__335_9-10_638_0,
author = {Jean K. Platten and Manuel Marcoux and Abdelkader Mojtabi},
title = {The {Rayleigh{\textendash}Benard} problem in extremely confined geometries with and without the {Soret} effect},
journal = {Comptes Rendus. M\'ecanique},
pages = {638--654},
publisher = {Elsevier},
volume = {335},
number = {9-10},
year = {2007},
doi = {10.1016/j.crme.2007.08.011},
language = {en},
}
TY - JOUR AU - Jean K. Platten AU - Manuel Marcoux AU - Abdelkader Mojtabi TI - The Rayleigh–Benard problem in extremely confined geometries with and without the Soret effect JO - Comptes Rendus. Mécanique PY - 2007 SP - 638 EP - 654 VL - 335 IS - 9-10 PB - Elsevier DO - 10.1016/j.crme.2007.08.011 LA - en ID - CRMECA_2007__335_9-10_638_0 ER -
%0 Journal Article %A Jean K. Platten %A Manuel Marcoux %A Abdelkader Mojtabi %T The Rayleigh–Benard problem in extremely confined geometries with and without the Soret effect %J Comptes Rendus. Mécanique %D 2007 %P 638-654 %V 335 %N 9-10 %I Elsevier %R 10.1016/j.crme.2007.08.011 %G en %F CRMECA_2007__335_9-10_638_0
Jean K. Platten; Manuel Marcoux; Abdelkader Mojtabi. The Rayleigh–Benard problem in extremely confined geometries with and without the Soret effect. Comptes Rendus. Mécanique, Volume 335 (2007) no. 9-10, pp. 638-654. doi : 10.1016/j.crme.2007.08.011. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.08.011/
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