Magnetohydrodynamic unsteady rotating Casson fluid flow with Hall and ion-slip impacts

This research explores the influence of Hall ion slip and diffusion thermo effects on the unsteady magnetohydrodynamic (MHD) flow of a viscous, incompressible, electrically conducting, and optically thick radiating Casson fluid through a porous medium in a rotating system. The flow is analyzed under the impact of Joule heating and viscous dissipation, both of which play a crucial role in altering the thermal and hydrodynamic behavior of the fluid. The governing nonlinear equations for velocity, temperature, and concentration are derived and solved using a two-term perturbation technique, subject to physically relevant boundary conditions. The study provides exact solutions to these equations, offering insights into the intricate interplay between key parameters, such as the Hall current, thermal diffusion, porosity, and rotating system’s influence. The variations in velocity, temperature, and concentration profiles with respect to these parameters are illustrated graphically to highlight their effects comprehensively. Furthermore, the skin friction coefficient, the Nusselt number, and the Sherwood number are derived and presented in tabular form, enabling a quantitative assessment of the flow’s thermal and mass transfer characteristics. To validate the proposed solutions, comparisons are made with previously published results, demonstrating excellent agreement and reinforcing the reliability of the analysis. These findings contribute to a deeper understanding of the dynamics of electrically conducting fluids in porous and rotating environments, with potential applications in advanced engineering systems, thermal management, and industrial processes involving MHD flows.