Flow of a conducting rotating fluid above a disc under uniform suction

An analytical examination of the heat transfer of magnetohydrodynamic axisymmetric flow of a uniformly rotating conducting fluid with or without suction at the disk is presented. A small Reynolds magnetic number is selected in order to neglect the induced magnetic field, and a system of two coupled nonlinear differential equations is obtained for the velocity field. The steepest descent method is employed to integrate the equations. Using the Rossby number, the magnetic number, the suction parameter, and the Prandtl number as input parameters, the shear stress, the torque, and the Nusselt number of the efficiency of heat transfer of the disk are found. The Nusselt number is shown to decrease as the suction parameter increases. The suction thickens the thermal boundary layer more than the viscous boundary layer, thereby keeping heat transfer to a minimum more with a rotating fluid than with a rotating disk.