Magneto-convection inside a tilted enclosure

In this study, laminar magneto-convection flow of a viscous fluid in an inclined enclosure is considered. The temperature gradient is applied on two opposing walls while the other two walls are maintained adiabatic. In order to solve the governing non-linear differential equations, an in-house developed code based on the finite volume method is utilized. The fluid of interest is molten sodium whose thermal and electrical properties such as heat capacity, thermal and electrical conductivity are temperature dependent. Representative results illustrating the effects of the enclosure inclination angle on the contour maps of the streamlines and temperature are reported and discussed. In addition, results for the midsection velocity profile and the average Nusselt number at the hot wall of the enclosure are presented and discussed for various inclination angles and Hartmann numbers. It is observed that for Hartmann number of 600, an increase in the inclination angle leads to the growth of the number of vortices in the enclosure.