ARTICLE:

• DIRECT NUMERICAL SIMULATION OF BENARD-MARANGONI CONVECTION  download article

Marc Medale
IUSTI - CNRS UMR 6595, Polytech'Marseille, Technopôle de Château-Gombert, 5 rue, Enrico Fermi, 13453, Marseille, France

P. Cerisier
Institut Universitaire des Systèmes Thermiques Industriels, CNRS U.M.R. 6595 Technopôle de Château-Gombert 5 rue Enrico Fermi, 13454 Marseille Cedex 13, FRANCE

ABSTRACT

This study aims to investigate Benard-Marangoni convection, close to the threshold, in small aspect ratio containers. We have considered several container shapes (triangular, quadrilateral, hexagonal and circular), and various sizes. In the smallest aspect ratio range only few cells can develop. The convective patterns depend on the aspect ratio and the shape of the container, but no major transient evolution can be observed. On the other hand, larger aspect ratio containers allow a comparatively large number of cells to develop. The shape of the container plays a significant part in the transient stage until the stationary pattern is attained, in which hexagonal cells prevail at the core surrounded by a row of predominantly pentagonal cells. The transient direct numerical simulations performed reproduce the three stages of the pattern evolution: birth of cells, conversion into the highest number of hexagonal cells that fit the container, and finding out the favored ordering of those cells inside the edge row.

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