MHD dissipative Casson fluid flow through a Forchheimer pervious medium with Soret-Dufour and higher-order convection effects

Source abstract

This study investigates magnetohydrodynamic (MHD) dissipative Casson fluid flow through a Forchheimer pervious medium, incorporating Soret-Dufour cross-diffusion and higher-order convection effects to capture the coupled non-Newtonian, electromagnetic, inertial-porous, and cross-transport phenomena governing thermal management, species distribution, and flow stability in advanced porous-media engineering systems. New insights into the combined influence of these effects were explored through a detailed parametric analysis. The governing dimensional equations describing the flow were transformed into coupled nonlinear dimensionless forms using appropriate similarity variables. The collocation method based on Legendre polynomials of the first kind was employed to obtain approximate solutions for the flow characteristics. The numerical results are presented in tables and graphs to illustrate the influence of the key parameters. The findings revealed that increasing the linear and nonlinear convection parameters, Dufour number, and Eckert number enhanced the velocity while reducing the temperature profile. Furthermore, higher values of the stretching sheet index parameter decrease both the temperature and wall shear stress but increase the chemical concentration near the surface. The model is applicable to a wide range of real-world systems, and its importance lies in improving the design, optimisation, and control of engineering processes, biomedical applications, and environmental systems, where advanced heat and mass transfer mechanisms play a crucial role.