Effect of Induced Magnetic Field on Natural Convection with Newtonian Heating/Cooling in Vertical Concentric Annuli

This paper is aimed to investigate the effect of induced magnetic field and Newtonian heating/cooling on fully developed laminar natural convective flow of a viscous incompressible and electrically conducting fluid in the presence of radial magnetic field. The governing equations of the model are transformed into non-dimensional simultaneously ordinary differential equations and solved analytically. We have analyzed the influence of the Hartmann number and Biot number on the fluid velocity, induced magnetic field and induced current density by the graphs while the values of skin-friction and mass flux are given in the tabular form. We observed that the values of the velocity, induced magnetic field and induced current density have decreasing tendency with increasing the values of Hartmann number. Also, the results show that on increasing the value of Biot number leads to increase the velocity, induced magnetic field, induced current density and skin-friction in case of the Newtonian heating and decrease the velocity, induced magnetic field, induced current density and skin-friction in case of the Newtonian cooling.