EFFECT OF MAGNETIC FIELD ON A CASSON NANOFLUID OF MHD THROUGH A SINUSOIDAL CHANNEL

In this research, we investigate the unsteady magnetohydrodynamic (MHD) flow and heat transfer behavior of a Casson nanofluid through a porous, sinusoidal (wavy) artery channel, under the influence of a perpendicular magnetic field. The study considers blood as a base fluid, enhanced with gold nanoparticles, and models it using Casson fluid characteristics to simulate realistic biological and industrial non-Newtonian behaviors. The analysis incorporates Hall and ion slip effects, thermal radiation, and porous medium properties. A perturbation technique is applied to derive analytical solutions to the governing non-dimensional equations for velocity and temperature fields. Key physical parameters such as Hartmann number, Grashof number, suction parameter, Prandtl number, and time are varied to understand their influence on flow dynamics. The results, presented graphically, reveal that increasing the magnetic field strength (Hartmann number) and the suction parameter results in the suppression of fluid motion and temperature profiles, whereas the Hall and ion slip parameters exhibit contrasting effects on the flow velocities. The study concludes that both thermal and hydrodynamic boundary layers are significantly influenced by the interplay of magnetic, thermal, and porous characteristics, providing insights for biomedical and industrial applications involving complex fluid flows.