Numerical and Regression-Based Study of MHD Casson Fluid Flow over a Porous Shrinking Sheet

Abstract

The inherent coupling of physical phenomena in real-world multiphysics systems, such as thermal management in bio-inspired microfluidic devices and polymeric sheet extrusion under electromagnetic control, necessitates a comprehensive, unified modeling approach. While magnetic field effects, non-Newtonian behavior, porous media influence, and coupled heat and mass transfer have been studied in isolation, their simultaneous interaction is critical for system optimization and reliable design strategies. This work, therefore, addresses the complex stagnation-point flow of a non-Newtonian Casson fluid over a porous shrinking sheet. This flow configuration is particularly challenging due to the viscosity-modifying properties of the Casson fluid, the flow-separation tendency associated with a shrinking surface, and the influence of a magnetohydrodynamic (MHD) field, all within a porous medium. Furthermore, the analysis incorporates the Soret (thermaldiffusion) and Dufour (diffusion-thermo) effects, which introduce significant cross-coupling between heat and mass transport, making this investigation vital for applications like biomedical coatings and cooling systems.