Convection of air in a cubic enclosure with an electric coil inclined in general orientations

Three-dimensional numerical calculations are carried out for the convection of air in a cubic enclosure under both magnetizing and gravitational fields. The magnetic field is generated by the electric current flowing through a single circular coil which is placed around the enclosure with its center at the center of the cube. The electric coil can be inclined in any orientation by two inclination angles: φy and φz. Computations are carried out for the whole range of both angles and for Pr=0.71, Ra=1.51×104, 9.06×104, and γ=10, 30, 60 and 100, where Pr is the Prandtl number, Ra is the Rayleigh number and γ is the strength of the magnetizing force. The maximum values of the heat transfer rate were obtained at φz=π/2 and the minimum at φz=0 for appropriate values of φy. The present work shows the possibility of controlling the heat transfer rate using a magnetic field.