Entropy generation analysis in micropolar-couple stress fluid’s flow in an inclined porous channel using Homotopy Analysis Method

Abstract

In this work, authors have presented the flow of the micropolar-couple stress fluids passage through an inclined channel. The inclined channel is occupied by the porous material. In the proposed problem, the channel is divided into two zones, zone-I contains the micropolar fluid and zone-II contains the couple stress fluid. The permeability of both zones is taken to be different and we have considered that the movement in the fluids occurs with the help of the constant pressure gradient. In this work, we have analysed the flow velocities, temperatures, and entropy generation when immiscible micropolar-couple stress fluids flow in an inclined channel filled with a porous medium. We have used the Homotopy Analysis Method (HAM) to solve the fundamental system of differential equations of the proposed problem. For both fluids, a graphic analysis is also done on the effects of various flow-affecting parameters, such as couple stress, micropolarity, inclination angle, viscous dissipation, etc., on the linear velocities, micropolar fluid’s microrotational velocity, temperatures, entropy generation, and Bejan numbers. The derived results are validated with the previously established results available in the literature. This work shows the effect of two polar fluids one containing microstructures (micropolar fluid) and another without microstructures (couple stress fluid) on the entropy generation. From the proposed work, it is found that in the flow of two polar fluids, the entropy production in the couple stress fluid flow region is smaller than that of the micropolar fluid flow region. The present model is useful in maintaining the entropy production to enhance the efficiency of electric devices such as, refrigerators, thermal engineering devices, heat regulatory devices, etc.