• MHD HEAT TRANSFER SLIP-FLOW BETWEEN TWO PARALLEL POROUS WALLS IN A ROTATING SYSTEM WITH HALL CURRENTS

Abstract

The paper deals with Hall effect on MHD heat transfer slip-flow of an ionized gas between two parallel porous walls in a rotating system, treating the transport properties of the fluid as constant when the bounding side walls are maintained at constant and equal temperatures. The governing equation of heat transfer is solved by using the slip conditions in two cases, that is when the side walls are made up (i) insulating (non-conducting) and (ii) conducting porous materials. The solutions to temperature distribution, mean temperature and rate of heat transfer coefficients at the side walls are obtained analytically. Also, the temperature profiles are plotted in support of different sets of values of the governing parameters involved. The heat transfer characteristic is discussed by analyzing the parameters namely Hartmann number and Taylor number (rotation); Hall, porous and slip parameters. The solutions to the temperature distribution are found to be the independent of the ratio of electron pressure to the total pressure in case of non-conducting porous side walls and are depending on this parameter for conducting porous side walls. For the case of non-conducting porous side walls, it is noticed that an increase in Hall parameter and Taylor number are to diminish the temperature distribution. An increase in slip parameter enhances the temperature distribution. Also, it is seen that an increase in porous parameter is to increase the temperature distribution everywhere except at near to the lower wall.