NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, vol.87, no.1, 2026 (SCI-Expanded, Scopus)
The study of immiscible fluid flows holds significant importance across various domains, including vital fluid dynamics within biological systems, enhanced oil recovery techniques, and processes in petroleum extraction. This research delves into the dynamics of two non-Newtonian fluids, namely Casson fluid and Jeffrey fluid, which are immiscible and flow through a channel. Both fluids are electrically conducting, and the channel contains a uniform porous medium while being exposed to a transverse magnetic field. The mathematical model for this scenario involves a set of governing differential equations applied in two distinct regions, complemented by specific initial, boundary, and interface conditions. The resulting solutions are visually depicted and analyzed across various essential parameters. Notably, the study reveals that introducing the Brinkman number contributes to enhanced temperature fields, while the Reynolds number influences the amplification of flow fields. These insights provide a valuable understanding of the dynamic behavior of immiscible fluid flows under diverse operational conditions.