Volumetric entropy generation of convective heat transfer in an asymmetrically heated packed duct

The volumetric entropy generation has been calculated to analyze the convective heat transfer in a rectangular packed duct with four walls heated asymmetrically by constant heat fluxes. Spherical packing is considered in the air flow passage. With the assumption of the fully developed slug flow, energy equation is solved to obtain the temperature profile for the one wall heated case. Using this solution the temperature profile for four heated walls are obtained by a superposition method. The velocity has been related to the pressure by the inviscous flow behavior, and Ergun equation is used for pressure drop calculations. Using the temperature and velocity gradients, non dimensional local entropy generation per unit volume has been expressed analytically and displayed graphically. Entropy generation maps reveal the regions where excessive entropy generation occurs due to physical and geometric parameters within the heat transfer system for its specified function.