Heat Transfer in Rarefied MHD Laminar Channel Flow

Abstract

The problem of heat transfer for the steady axi-symmetrical laminar source flow of a slightly rarefied electrically conducting gas between two infinite parallel circular disks under transverse magnetic field is analytically investigated where both Joulean and viscous heating are considered. The flow parameters and the temperature are expanded in powers of 1/r. The quantity of heat transfer per unit time from a finite disk has been calculated. It is found that with the increase of magnetic field, the rate of heat transfer from the lower disk decrease and increases from the upper disk. The maximum temperature increase with the increase of the magnetic field. The rate of heat transfer from both the disks as well as the maximum temperature decreases with the increase of the rarefication of the gas.