Comptes Rendus
no. 10
Identification of the convective instability in a multi-component solution by 3D simulations
[Identification d'instabilités convectives dans une solution muticomposants à partir de simulations 3D]

Présenté par : René Moreau

Viatcheslav V. Kolmychkov1  ; Olga S. Mazhorova1  ; Yurii P. Popov1  ; Patrick Bontoux2  ; Mohammed El Ganaoui3
1 Keldysh Institute of Applied Mathematics RAS, 4, Miusskaya pl., Moscow 125047, Russia
2 UMR CNRS 6181, les universités d'Aix–Marseille, 38, rue F. Joliot Curie, 13451 Marseille, France
3 SPCTS UMR CNRS 6638, université de Limoges, 123, avenue Albert-Thomas, 87060 Limoges, France
Comptes Rendus. Mécanique, Volume 333 (2005) no. 10, pp. 739-745.

Le présent papier concerne les résultats numériques des instabilités de convection naturelle dans un système ternaire en changement de phase. Les simulations sont effectuées en configuration tridimensionnelle. Une bifurcation sous critique avec des cellules hexagonales est identifiée dans la gamme des nombres de Rayleigh [1×103,1,4×104]. Les résultats de simulation sont en bon accord avec les prédictions de la théorie de stabilité linéaire et d'amplitude finie.

Three-dimensional calculations have been done to simulate the onset of convective motion in ternary nondilute solution under phase transition conditions. The process is considered for Rayleigh number in the range [1×103,1.4×104], where subcritical convective motion with hexagonal flow pattern is identified. The results are in good agreement with the linear and finite amplitude theory of hydrodynamics instability.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2005.08.004
Keywords: Computational fluid mechanics, Instability and transitions
Mot clés : Mécanique des fluides numérique, Instabilité et transition
Viatcheslav V. Kolmychkov 1 ; Olga S. Mazhorova 1 ; Yurii P. Popov 1 ; Patrick Bontoux 2 ; Mohammed El Ganaoui 3

1 Keldysh Institute of Applied Mathematics RAS, 4, Miusskaya pl., Moscow 125047, Russia
2 UMR CNRS 6181, les universités d'Aix–Marseille, 38, rue F. Joliot Curie, 13451 Marseille, France
3 SPCTS UMR CNRS 6638, université de Limoges, 123, avenue Albert-Thomas, 87060 Limoges, France 
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     title = {Identification of the convective instability in a multi-component solution by {3D} simulations},
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Viatcheslav V. Kolmychkov; Olga S. Mazhorova; Yurii P. Popov; Patrick Bontoux; Mohammed El Ganaoui. Identification of the convective instability in a multi-component solution by 3D simulations. Comptes Rendus. Mécanique, Volume 333 (2005) no. 10, pp. 739-745. doi : 10.1016/j.crme.2005.08.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2005.08.004/

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[2] I.A. Denisov; O.S. Mazhorova; Yu.P. Popov; N.A. Smirnova Numerical modelling for convection in growth/dissolution of solid solution CdXHg1−XTe by liquid phase epitaxy, J. Crystal Growth, Volume 269 (2004), pp. 284-291

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