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1 Centre de recherche du Commissariat à l-Energie Atomique - CEA Cadarache Saint Paul-lez-Durance, France 2 Institut de Mécanique des Fluides de Toulouse

Abstract : We provide a numerical analysis of three-dimensional free convection of a liquid in a Rayleigh-Bénard configuration,subject to a steady and uniform magnetic field, using the finite volume code Jadim. The influence of the Hartmann andRayleigh numbers are studied. We compare our results to several experimental works. As suggested by previousexperiments, the magnetic field tends to lower the heat transfer at the walls. This is caused by a significant alteration ofthe flow structures, due to the Lorentz force. For slightly overcritical Rayleigh numbers, two-dimensional rolls appearbut the flow structure rapidly becomes three-dimensional as we increase the Rayleigh number. The magnetic field tendsto destroy those structures and the transition to a 3D flow is delayed to higher values of the Rayleigh number, when theHartmann number is increased. We show that the averaged heat transfer at the walls decreases, although it remains ofthe same order of magnitude. However the local structure of heat transfer is altered.

Keywords : numerical simulations magnetoconvection heat transfer linear stability

Autor: S Renaudière de Vaux - R Zamansky - W Bergez - Ph Tordjeman - V Bouyer - P Piluso - J.F. Haquet -



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