ENTROPY ANALYSIS FOR MHD FLOW OVER A NON-LINEAR STRETCHING INCLINED TRANSPARENT PLATE EMBEDDED IN A POROUS MEDIUM DUE TO SOLAR RADIATION

Abstract

The present paper investigates analytically and numerically the magneto-hydrodynamic (MHD) mixed convection flow over a nonlinear stretching inclined transparent plate embedded in a porous medium due to solar radiation. The two-dimensional governing equations are obtained considering the dominant effect of boundary layer and considering Boussinesq approximation and uniform porosity and also in presence of the effects of viscous dissipation and variable magnetic field. These equations are transformed by the similarity method to two coupled nonlinear ordinary differential equations (ODEs) and then solved using a numerical implicit method called Keller-Box. The effects of various parameters such as magnetic parameter, porosity, effective extinction coefficient of porous medium, solar radiation flux, plate inclination angle, diameter of porous medium solid particles and dimensionless Eckert, Richardson, Prandtl, Hartman, Brinkman, Reynolds and entropy generation numbers have been studied on the dimensionless temperature and velocity profiles. The entropy generation number is higher near the surface which means that the surface acts as a strong source of irreversibility. The results obtained are shown in diagrams and tables and have been discussed.

DOI: http://dx.doi.org/10.5755/j01.mech.18.5.2694