Secondary and oscillatory gravitational instabilities in canonical three-dimensional models of crystal growth from the melt. Part 1: Rayleigh–Bénard systems

Marcello Lappa

doi:10.1016/j.crme.2007.05.003

Secondary and oscillatory gravitational instabilities in canonical three-dimensional models of crystal growth from the melt. Part 1: Rayleigh–Bénard systems
[Instabilités secondaires et oscillatoires dans des modèles 3D canoniques pour la croissance cristalline. 1ère partie : des systèmes Rayleigh–Bénard]

Marcello Lappa ^1,²

¹ MARS (Microgravity Advanced Research and Support) Center, Via Gianturco, 31, 80146 Napoli, Italy
² Via Salvator Rosa 53, 80046 San Giorgio a Cremano (Na), Italy

Comptes Rendus. Mécanique, Volume 335 (2007) no. 5-6, pp. 253-260.

Résumé
Abstract

Les instabilités secondaires et oscillatoires pour la convection gravitationnelle thermique ont fait l'objet d'études intensives durant les dernières années du fait de leur pertinence en science des matériaux, et plus particulièrement dans le domaine de la croissance cristalline. Le but de la présente discussion est de fournir une revue comparative et critique du sujet par l'examen des études existantes et de contributions très récentes. Il complète les précédentes revues (Lappa, 2005) qui ont été restreintes à la brisure de symétrie tridimensionnelle dans le cas stationnaire et/ou à la première bifurcation de l'écoulement.

Secondary and oscillatory instabilities in thermal gravitational convection have been the focus of intensive studies over recent years due to their relevance in materials science, and in particular, in the field of crystal growth from the melt. The purpose of the present discussion is to provide a comparative and critical review of the subject through examination of existing studies and very recent contributions. It complements earlier reviews (Lappa, 2005) that were limited to the survey of steady three-dimensional symmetry breaking effects and/or the primary bifurcation of the flow.

Publié le : 2007-05-01

DOI : 10.1016/j.crme.2007.05.003

Keywords: Computational fluid dynamic, Thermal convection, Transitions
Mot clés : Mécanique des fluides numérique, Transitions, Convection thermique

Affiliations des auteurs :

Marcello Lappa ^{1, 2}

¹ MARS (Microgravity Advanced Research and Support) Center, Via Gianturco, 31, 80146 Napoli, Italy
² Via Salvator Rosa 53, 80046 San Giorgio a Cremano (Na), Italy

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Marcello Lappa. Secondary and oscillatory gravitational instabilities in canonical three-dimensional models of crystal growth from the melt. Part 1: Rayleigh–Bénard systems. Comptes Rendus. Mécanique, Volume 335 (2007) no. 5-6, pp. 253-260. doi : 10.1016/j.crme.2007.05.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.05.003/

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