Diffusion-thermo and thermo-diffusion of gravity-driven chemical reactive magneto-Casson fluid in vertical oscillatory porous media with inclined magnetic field: Finite element Solution

An interest in enhancing heat transfer and industrial materials performance has propelled studies of diverse viscoelastic fluids with various conditions and geometries. Thus, this research examines the combined influences of diffusion-thermo and thermo-diffusion on the flow and thermal distribution characteristics of a gravity-driven chemically reacting magneto-Casson fluid in vertical oscillatory permeable media with an inclined magnetic field effect. The Casson liquid formulation is adopted for the liquid viscous behaviour, which is essential in different engineering and industrial usages. The formulated partial derivative model for the flow velocity, thermal, and reacting species is transformed via similarity variables into an invariant model and solved computationally via the Galerkin finite element method (GFEM). The results indicate that the inclined magnetic field impacts the fluid flow and heat distribution characteristics. The Soret and Dufour influences are critical in modifying the heat and species boundary layers, particularly in chemical reactions. Hence, the study offers perceptions into augmenting non-Newtonian fluids industrial processes with heat and mass transfer for chemical reactors, polymer processing, and oil recovery. Therefore, an inclusive study clarifies the interplay complexity between different physical phenomena governing the behaviour of hydromagnetic Casson fluids in porous oscillatory media is considered for dynamical heat transfer in engineered systems.