Heat transfer by hartmann's flow in thermal entrance region

Abstract

This paper deals with a theoretical analysis to determine the heat-transfer characteristics in the thermal entrance region, in which an electrically conducting fluid flows in established laminar flow between two parallel plates with wall heat transfer under the influence of a uniform transverse magnetic field, so-called Hartmann's flow. The conditions of wall heat transfer treated in this paper are both the case of prescribed uniform wall heat flux and that of uniform wall temperature. The internal heat generation by Joule heating is taken into account in this analysis but the viscous dissipation is neglected. The analytical method is analogous to that used in authors' another paper. The heat-transfer characteristics of entrance region approach those of fully developed situation which were analysed by Siegel. The heat transfer by laminar flow of a non-conducting fluid which was analysed as a special case coincides well with those by Sellars and others. These numerical calculations were done by means of KDC-1 (Kyoto University Digital Computer-1).