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.