Secondary and oscillatory gravitational instabilities in canonical three-dimensional models of crystal growth from the melt, part1: Rayleigh-Bènard systems

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Abstract

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 [1,2]) that were limited to the survey of steady three-dimensional symmetry breaking effects and/or the primary bifurcation of the flow.
LanguageEnglish
Pages253-260
Number of pages8
JournalComptes Rendus Mécanique
Volume335
Issue number(5-6)
DOIs
Publication statusPublished - 28 Jun 2007

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gravitational instability
three dimensional models
materials science
Crystallization
Crystal growth
complement
crystal growth
broken symmetry
convection
examination
Materials science
Hot Temperature
Convection

Keywords

  • computational fluid dynamic
  • transitions
  • thermal convection
  • gravitational instabilities
  • Rayleigh-Bènard systems

Cite this

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abstract = "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 [1,2]) that were limited to the survey of steady three-dimensional symmetry breaking effects and/or the primary bifurcation of the flow.",
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AB - 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 [1,2]) that were limited to the survey of steady three-dimensional symmetry breaking effects and/or the primary bifurcation of the flow.

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KW - Rayleigh-Bènard systems

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