Entropy and multiphysics analysis in a viscous dissipative non-Darcian porous enclosure
Department of Applied Mathematics, Defence Institute of Advanced Technology(DU), 411025, Pune, India
2 Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur, India
Accepted: 9 July 2021
Published online: 26 July 2021
The present article assessed the mathematical model for the entropy generation in free convective heat and mass transfer phenomenon in the thermal and species stratified fluid-saturated non-Darcy porous domain. In this model, the viscous dissipation forces are assumed significant. Moreover, the physical model is exposed to the magnetic forces to accommodate the control over the stratification forces. For a better understanding of the temperature and concentration field, the heat function (H) and mass function (M) models for the multi-force effect on porous media flow, are proposed in this study by which the directional flow accompanying magnitudes of heat flux and mass flux can be visually manifested. To solve the mathematical model numerically, the finite element method is implemented on the dimensionless form of the governing nonlinear partial differential equations. The obtained results are portrayed by of the streamline, isotherm, isoconcentration contours, and cumulative Nusselt and Sherwood number plots for the parameters associated with the problem with additional heatline and massline contour visuals. Moreover, the thermodynamical attributes of fluid flow are illustrated by the contour plots of the entropy production due to fluid friction, heat transfer, mass transfer, and total entropy. Besides, the other characteristics are delineated by the Bejan number plots for the study of thermodynamic irreversibilities. Here, it is observed that the intensification of thermal buoyancy forces raises the stratification levels in the fluid flow. The high intensity of stratification forces introduces the contra-rotating pair of fluid flow movements. On the other hand, horizontally applied magnetic forces significantly restrict the convective flow of heat and mass fluxes, resulting in a massive drop of entropy generation by viscous dissipation.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021