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 trans-parent 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 dis-sipation and variable magnetic field. These equations are transformed by the similarity method to two coupled non-linear 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 po-rous medium, solar radiation flux, plate inclination angle, diameter of porous medium solid particles and dimension-less Eckert, Richardson, Prandtl, Hartman, Brinkman, Reynolds and entropy generation numbers have been stud-ied 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.