Analysis of the Magnetic Effect on Entropy Generation in an Inclined Channel Partially Filled with a Porous Medium

Abstract

The major objective of this work is to investigate the magnetic effect on heat-fluid and entropy generation interactions in a porous medium for a laminar, incompressible, non-Dracy model flow in an inclined channel. The flow field considered is composed of porous and clear viscous layers. The constant magnetic force is assumed to be acting parallel to the y-axis perpendicular to the walls. The governing equations related to flow and thermal fields, which are coupled and nonlinear, are solved for both clear fluid and porous regions by implementing the semi numerical-analytical techniques differential transform method (DTM) and generalized differential quadrature method (GDQM). While keeping the channel walls at different constant temperatures (isothermal walls), the influence of the applied magnetic field on velocity, temperature, and entropy generation are investigated and presented graphically with the corresponding physical interpretations. Additionally, the effect of dimensionless parameters such as th...