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Effect of an axial magnetic field on the first transition to unsteady thermal convective regime in a counter-rotating von Kármán flow

DOI: 10.1615/ICHMT.2012.ProcSevIntSympTurbHeatTransfPal.80
pages 82-89

Lyes Bordja
Faculte des Sciences et Technologie, Dept. Genie Mecanique, Universite Cheikh Larbi Tebessi, Tebessa-12002, Algeria

Emilia Crespo del Arco
Departamento de Fisica Fundamental, U.N.E.D., Apdo. Correos 60.141, 28080 Madrid, Spain

Eric Serre
Aix-Marseille Universite, CNRS, Ecole Centrale Marseille, Laboratoire M2P2, Marseille, France

Demagh Yassine
Faculté des Sciences et Technologie, Dépt. Génie Mécanique, Université de Jijel, BP 98, OuledAissa, 18000 Jijel, Algeria


This paper provides a DNS of a flow enclosed in a vertical cylindrical container of aspect ratio Γ = height/radius = 2, driven by the counter-rotation of the two lids at, Re = ΩR2/υ = 300. The fluid models an electrically conductive liquid, with low Prandtl number, Pr = υ/α = 0.015 and in the limit of a small magnetic Reynolds number Rem << 1. The numerical computations of the fully nonlinear time dependent equations have been performed using a second-order finite-volume scheme. Numerical results show that the axial magnetic field reduces the transverse flow, the parallel flow becoming. Moreover, while the azimuthal symmetry is preserved, the flow pattern is strongly modified for non-zero Hartmann number, (Ha = B0R√(σ/μ). The resulting electric potential field presents also substantial modifications under both the effect of a gradient of temperature and of an axial magnetic field. These structural changes may have important consequences in the subsequent induction mechanisms.

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