ANALYSIS OF HALL EFFECTS ON THEENTROPY GENERATION OF NATURALCONVECTION FLOW THROUGH A VERTICALMICROCHANNEL

In this work, the entropy generation of a steady fully developed natural convection flow between two vertical parallel microchannels with Hall effect is investigated. The effects of velocity slip and temperature jump at the solid-fluid interface are considered. The differential equations obtained from the derived governing equations are transformed and the solutions of the velocity and temperature profiles are constructed via differential transform method. Plots are presented to explain the influence of Hall current, Wall-ambient temperature difference ratio and fluid wall interaction parameter effects on fluid motion, fluid temperature, fluid irreversibility and Bejan number. The results indicate that both Hall current and Wall-ambient temperature difference ratio (WATDR) encourage fluid irreversibility whereas fluid wall interaction parameter (FWIP) reduces fluid irreversibility.