Magnetohydrodynamic two-layer flow of Jeffrey and Casson fluids with slip boundary conditions and heat transfer effects

Résumé

This research explores the magnetohydrodynamic (MHD) behavior of a two-layer system composed of the flow of immiscible non-Newtonian fluids, specifically described by the Jeffrey and Casson models, inside a vertical channel subject to slip boundary conditions. The governing equations for momentum and energy in each fluid layer are derived and solved analytically, incorporating both boundary and interfacial constraints. A detailed parametric study is carried out to assess the influence of factors such as magnetic intensity, slip effects, Jeffrey and Casson fluid parameters, Prandtl number, and thermal radiation on velocity and temperature distributions. Results reveal that magnetic forces and porous medium resistance act to suppress fluid motion, whereas slip conditions enhance velocity near the channel walls. Furthermore, increasing the Prandtl number reduces thermal diffusion, leading to lower temperature profiles. The outcomes provide valuable understanding of layered non-Newtonian flow systems, with relevance to applications in biomedical transport, lubrication technologies, polymer processing, and industrial coating operations.