Combined Natural and Forced Convection Hydromagnetic Flow in Vertical Channels

Abstract

AbstractThe combined natural and forced convection fully developed flow and heat transfer of an electrically conducting fluid with and without temperature dependent heat sources in a vertical channel has been studied under the influence of transverse applied magnetic field and external circuit. The two plane walls of the channel are having the same temperature gradient along their lengths but both are art different temperatures. The system of non‐linear integro‐differential equations have been solved by an iteration method and the shearing stress and Nusselt number at the walls have been calculated. It has been found that the temperature dependent heat sources impose oscillatory behaviour on the temperature profiles and the heat transfer between the wall and the adjacent fluid changes its direction for different ranges of values of the heat source per unit volume. The magnetic field reduces the velocity but increases the temperature and the presence of linear variation of the wall temperature helps in cooling the walls.