MHD natural convection flow in a vertical parallel plate microchannel

The fully developed steady natural convection flow of conducting fluid in a vertical parallel plate micro-channel in the presence of transverse magnetic field is considered. The velocity slip and temperature jump at the plates are taken in to consideration. The effect of various flow parameters entering into the problem such as Hartmann number, rarefaction parameter, fluid-wall interaction parameter and wall-ambient temperature difference ratio are discussed with the aid of line graphs. During the course of computation, it is found that increase in the effects of rarefaction and fluid wall interaction leads to increase in volume flow rate while the volume flow rate decreases with increase in Hartmann number.