Numerical modeling of MHD stability in a cylindrical configuration |
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| Authors: | Fateh Mebarek-oudina Rachid Bessaïh |
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| Institution: | 1. Département des Sciences de la Matière, Faculté des Sciences, Université 20 Août 1955—Skikda, B.P 26 Route El-Hadaiek, Skikda 21000, Algeria;2. Laboratoire LEAP, Département de Génie Mécanique, Université Mentouri-Constantine, Constantine 25000, Algeria |
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| Abstract: | A numerical modeling of natural convection under the influence of either axial (Bz) or radial (Br) magnetic field in a cylindrical configuration filled with a low-Prandtl number electrically conducting fluid, is studied. The finite volume method is used to discretize the equations of continuity, Navier Stokes and energy. A computer program based on the SIMPLER algorithm is developed. The flow and temperature fields are presented by stream function and isotherms, respectively. Stability diagrams are established according to the numerical results of this investigation. These diagrams put in evidence the dependence of the critical Grashof number, Grcr with the increase of the Hartmann number, Ha. The strongest stabilization of the convective flows occurs when the magnetic field is applied in the radial direction. This study confirms the possibility of stabilization of a liquid metal flow in natural convection by application of a radial magnetic field. |
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