Effects of Partial Slippage and Couple stresses on Entropy Generation in a porous Channel filled with Highly Porous Medium

Abstract

This work investigates the influence of slip condition and couple stresses on entropy generation rate in a steady flow of an incompressible viscous fluid through a porous channel occupied by a highly porous medium with suction/injection. It is assumed that the “no-slip” condition at one of the walls of the channel is no longer valid for both velocity and temperature. Also the porous medium is the non-Darcian type known as the Darcy-extended Brinkman-Forchheimer model. Semi-Analytical solutions of the dimensionless momentum and energy equations are obtained using Differential transform method (DTM). The approximate solutions for velocity and temperature are used to compute the Entropy generation rate, Bejan number and the Irreversibility distribution ratio in the flow field. The variation of the velocity and temperature fields are examined for various values of couple stresses parameter, slip parameter, Brinkman number, entropy generation number, Darcy number, Nusselt number, skin fiction and other parameters. It is found that each of these parameters has significant effect on the velocity, temperature and Entropy generation rate profiles.