Heat generation in dual convection Non-Newtonian MHD Darcy's flow with Soret and Dufour effects

Abstract

Examining the behavior of non-Newtonian fluids in natural environments like rivers and groundwater flow is essential for evaluating their environmental impact. The Soret and Dufour impacts significantly influence the transportation of contaminants and heat within these systems. With this application in mind, this study investigates the impacts of steady-state Soret/Dufour and radiation on a porous perpendicular plate in the context of the Maxwell fluid model. Additionally, the study considers the impact of magnetohydrodynamics (MHD) and heat generation to provide a comprehensive modeling framework. The similarity technique is employed to transform the partial differential equations (PDEs) into nonlinear ordinary differential equations (ODEs). These ODEs are subsequently solved numerically using the inbuilt software bvp4c in MATLAB. The study presents graphical representations of Sherwood, skin friction, Nusselt number profiles, momentum, temperature, and concentration contours. These visual representations and tables illustrate the results for various fluid flow parameters, highlighting the influence of different flow characteristics. Key findings of this research include a rise in Nusselt and Sherwood numbers and skin friction with higher radiation values. Furthermore, there is an observed increase in temperature and concentration profiles as the Soret parameter value rises, indicating the significant impact of these parameters on the studied phenomena.