Identification of the convective instability in a multi-component solution by 3D simulations

Viatcheslav V. Kolmychkov; Olga S. Mazhorova; Yurii P. Popov; Patrick Bontoux; Mohammed El Ganaoui

doi:10.1016/j.crme.2005.08.004

Identification of the convective instability in a multi-component solution by 3D simulations

Presented by: René Moreau

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

Comptes Rendus. Mécanique, Volume 333 (2005) no. 10, pp. 739-745.

Abstract
Résumé

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 $[1 \times 10^{3}, 1.4 \times 10^{4}]$ , 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.

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 $[1 \times 10^{3}, 1, 4 \times 10^{4}]$ . Les résultats de simulation sont en bon accord avec les prédictions de la théorie de stabilité linéaire et d'amplitude finie.

Received: 2005-08-24
Accepted: 2005-08-30
Published online: 2005-10-01

DOI: 10.1016/j.crme.2005.08.004

Keywords: Computational fluid mechanics, Instability and transitions
Mots-clés : Mécanique des fluides numérique, Instabilité et transition

Author's affiliations:

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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     author = {Viatcheslav V. Kolmychkov and Olga S. Mazhorova and Yurii P. Popov and Patrick Bontoux and Mohammed El Ganaoui},
     title = {Identification of the convective instability in a multi-component solution by {3D} simulations},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {739--745},
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     number = {10},
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     doi = {10.1016/j.crme.2005.08.004},
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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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