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DOI: 10.1615/ICHMT.2014.IntSympConvHeatMassTransf.940
pages 1259-1274

Brahim Mahfoud
University -Bouira/ Faculté des Sciences et des sciences appliquée 10000, Algeria

Rachid Bessaih
L.E.A.P, Dept. Genie Mecanique, Universite Mentouri de Constantine, Route d'Ain El Bey, 25000 Constantine, Algeria


The present work examine numerically the effect of axial magnetic field on mixed convection through a cylindrical cavity, filled with a liquid metal and having a rotating top and bottom disks. Effects of Richardson number (Ri = 0, 0.5,1 and 2) and Hartman number (Ha = 0, 5,10 and 20) on temperature and flow fields were analyzed. The basic state of this system is steady and axisymmetric, when the counter-rotation is sufficiently large, producing a free shear layer. This shear layer is unstable and different complex flows appear successively: steady states with an azimuthal wavenumber of 1; travelling waves and steady states with an azimuthal wavenumber of 2 . Mixed modes and azimuthal wavenumber of 3 are also found with increasing Hartmann number. The stability diagram (Recr-Ha) corresponding to the axisymmetric-three-dimensional transition for increasing values of the axial magnetic field is obtained.

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