Influence of Soret and Dufour Impacts on Casson Fluid Flow in a Channel Embedded in a Porous Medium

This research focuses on analyzing the behavior of Casson fluid flow via a porous medium, with a specific emphasis on the effects of thermal diffusion and diffusion-thermo. The primary aim of the study is to understand how these effects influence heat and mass transfer mechanisms within the flow system. To achieve this, the study transforms the governing partial differential equations for momentum, energy, and concentration into ordinary differential equations via similarity transformations. These equations are then numerically solved using the bvp4c solver. The study's methodology involves computing solutions for the velocity, temperature, and concentration under varying conditions of Soret and Dufour effects. Quantitative results are presented via graphs and tables, demonstrating how the presence of Soret and Dufour leads to significant changes in the concentration and temperature outlines within the fluid flow. Specifically, the results indicate that the Soret effect enhances mass transfer, while the Dufour effect contributes to temperature variations. The significance of this study lies in its detailed exploration of the interaction between heat and mass transfer in a Casson fluid within porous media, which has direct applications in fields such as chemical engineering, geothermal energy extraction, and environmental management. The findings have real-time applicability in processes like oil recovery, pollutant transport, and cooling systems where porous structures are involved. The research contributes valuable insights into optimizing these processes by demonstrating how thermal and mass diffusion phenomena can be effectively controlled. By providing a comprehensive quantitative analysis of the Soret and Dufour effects, this study offers practical guidance for engineers and researchers seeking to improve the efficiency of heat and mass transfer in various industrial and environmental applications.