ANALYSIS OF HALL EFFECTS ON THE ENTROPY GENERATION OF NATURAL CONVECTION FLOW THROUGH A VERTICAL MICROCHANNEL

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

Combined Effect of Buoyancy Force and Navier Slip on Entropy Generation in a Vertical Porous Channel

In this paper, we investigate the combined effects of buoyancy force and Navier slip on the entropy generation rate in a vertical porous channel with wall suction/injection. The nonlinear model problem is tackled numerically using Runge–Kutta–Fehlberg method with shooting technique. Both the velocity and temperature profiles are obtained and utilized to compute the entropy generation number. The effects of slip parameter, Brinkmann number, the Peclet number and suction/injection Reynolds number on the fluid velocity, temperature profile, Nusselt number, entropy generation rate and Bejan number are depicted graphically and discussed quantitatively