Irreversibility Analysis of Hydromagnetic Flow in a Nonlinearly Radiating Walters’ B Fluid Through a Porous Medium with Thermal Buoyancy Influence and Viscous Dissipation

Abstract

In this work, the modelling of entropy generation on heat transport of natural convection of an electrically conducting Walters’ B fluid is examined. The flow through a porous medium radiates nonlinearly in the presence of viscous dissipation and Joule heating. Subject to the suitable dimensionless variables, the coupled nonlinear dimensional equations are transformed into ordinary differential equations via a similarity variable and executed by Galerkin Weighted Residual Method (GWRM). The results obtained demonstrated good agreement with another method when validated by Spectral Collocation Method (SCM) through tables, as well as numerical integration of Mathematica’s NDSolve for the graphs. The dynamics of the embedded parameters are presented through graphs. Keeping in mind the engineering applications of the study, the Skin-friction and Nusselt number results are conveyed through tables. The result justified, among other important findings, that temperature distribution cools over the higher dominance of buoyancy force over the viscous force, which is a useful tool in application for cooling of the system. The interaction of the Brinkman number intensifies viscous heating due to the heat transfer by virtue of the molecular conduction around the system. The outcome of this process improves entropy production in applications.