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

• Published in: Comptes rendus. Mecanique Vol. 335; no. 5; pp. 253 - 260
• Main Author: Lappa, Marcello
• Format: Journal Article
• Language: English
• Published: Paris Elsevier SAS 01.05.2007; Elsevier
• Subjects: Buoyancy-driven instability; Computational fluid dynamic; Convection and heat transfer; Convection thermique; Cross-disciplinary physics: materials science; rheology; Exact sciences and technology; Fluid dynamics; Fundamental areas of phenomenology (including applications); Growth from melts; zone melting and refining; Hydrodynamic stability; Materials science; Methods of crystal growth; physics of crystal growth; Mécanique des fluides numérique; Physics; Theory and models of crystal growth; physics of crystal growth, crystal morphology and orientation; Thermal convection; Transitions; Turbulent flows, convection, and heat transfer; Thermal convection; Convection thermique; Mécanique des fluides numérique; Computational fluid dynamic; Transitions; Rayleigh-Benard instability; Convective instabilities; Three dimensional model; Computational fluid dynamics; Oscillatory instability; Digital simulation; Natural convection; Modelling; Secondary flow; Plumes; Heat transfer; Crystal growth from melts
• ISSN: 1631-0721; 1873-7234; 1873-7234
• DOI: 10.1016/j.crme.2007.05.003

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. To cite this article: M. Lappa, C. R. Mecanique 335 (2007). 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. Pour citer cet article : M. Lappa, C. R. Mecanique 335 (2007).