Three-dimensional thermomagnetic convection in a cubic cavity in the presence of an external uniform magnetic field

M. S. Krakov¹ - I. V. Nikiforov² - S. Kamiyama³

¹ Belarussian National Technic University, 65 F.\,Skorina Avenue, 220027, Minsk, Belarus
² Belarussian State University, 4 F.\,Skorina Avenue, 220050, Minsk, Belarus
³ Faculty of Systems Science and Technology, Akita Prefectural University, 84-4 Tsuchiya Ebinokuti, Honjo 015-0055, Japan

Abstract
Natural convection in magnetic fluids is studied in details in nonuniform magnetic fields. Here the main attention has been paid to the influence of a uniform magnetic field. It is shown that in a cubic cavity competition between gravity convection and thermomagnetic convection could lead to a complicated dependence of the heat flux through the cavity on the magnetic field: the increasing of the magnetic field could both enhance and depress the heat transfer. Numerical simulation has shown that the convective flow in the cube could have one-cell, two-cell or toroidal pattern. The competition between the gravitational and magnetic mechanisms of convection could lead to a new roll-type pattern with different topological and heat-transfer characteristics. Hence, the dependences of \Nu(\Gr) and \Nu(\Gr_m) can be very complicated with hysteresis in some cases. Figs 13, Refs 13.