ANALYSIS OF FLUID FLOW AND ENTROPY GENERATION OF A MHD NANOFLUID THROUGH A VERTICAL CHANNEL WITH DEFORMABLE POROUS MEDIUM

摘要

In this paper, two water-based nanofluids with copper and aluminum oxide (Cu and Al2O3) nanoparticles were studied for flow and entropy generation analysis. Considered flow is magnetohydrodynamic (MHD) steady flow through a deformable porous medium in a vertical channel bounded by rigid plates of temperatures T-0 and T-w, respectively. Governing equations for velocity of the fluid coupled with solid deformation and for distribution of temperature in the channel are solved analytically. The effect of drag delta, volume fraction of fluid phi, Brinkman number Br, heat source beta, and magnetic parameter M on the displacement of deformable porous medium, velocity of the fluid, temperature, entropy generation number, and Bejan number are represented through graphs and discussed. The study reveals that solid displacement is decreasing with increasing porosity, temperature is increasing with increase of porosity, for bigger values of M the temperature of the water is higher than that of the conducting nanofluids, increasing drag parameter decreases the velocity but increases the solid displacement, the Bejan number and entropy generation number are greatly affected by drag coefficient.