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LAMINAR NATURAL CONVECTION IN SQUARE ENCLOSURE UNDER AN EXTERNALLY EVANESCENT MAGNETIC FIELD

DOI: 10.1615/ICHMT.2009.CONV.610
10 pages

Atef El Jery
National School of Engineers of Gabes, Omar Ibn El Khattab Street, 6029 Gabes, TUNISIA

Mourad Magherbi
Chemical and Process Engineering Department, Engineers National School of Gabes, Gabes University, Applied Thermodynamics Unit, Omar Ibn El Khattab St., 6029 Gabes, Tunisia

Ammar Ben Brahim
Ecole Nationale d’Ingénieurs de Gabès, Rue Omar Ibn El Khattab, 6029 Gabès, Tunisia, Département de Génie Chimique Procédés, Unité de Recherche : Thermodynamique Appliquée

Sinopsis

This paper numerically investigates the effect of an externally evanescent magnetic field on flow patterns and heat transfer of fluid in a square cavity. The horizontal walls of the enclosure are assumed to be insulated while the vertical walls are kept isothermal. A control volume finite element method is used to solve the conservation equations at Prandtl number of 0.71. The effect of constant Hartman number on Nusselt number was studied. Validation tests with existing data demonstrate the aptitude of the present method to produce accurate results. The effects of magnetic field inclination angle from 0° to 90° on streamlines distributions are shown for different values of Hartman number. For Grashof number equal to 105, the values of relaxation time of the magnetic field are chosen, so that the Lorentz force acts only in the transient state of Nusselt number in natural convection. The Nusselt number was calculated for different values of the inverse relaxation time varying from 0 to +. The magnitude and the number of oscillations of the Nusselt number were observed. It has been found that no oscillation was seen at relaxation time equal to 20.

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