Heat Transfer and Entropy Analysis in a Dusty Casson Nanofluid Flow Under a Periodic Magnetic Field

The present work investigates the influence of a periodic magnetic field on Casson nanofluid flow between two inclined parallel plates, emphasizing its implications for heat transfer and thermal management. The flow is driven by buoyancy forces and variable temperature gradients while accounting for the interaction between fluid and uniformly distributed dusty particles. The governing equations, formulated as partial differential equations, are analytically solved using the Poincaré–Lighthill perturbation technique (PLPT) to obtain expressions for velocity and temperature distributions. Numerical simulations are carried out in Mathcad-15 to visualize the behavior of fluid and dust particles under varying magnetic and thermal parameters. The study further examines skin friction, entropy generation, and the Bejan number to quantify the effects of non-Newtonian behavior and magnetohydrodynamic forces. Results reveal that the periodic magnetic field induces oscillatory motion, significantly modifying both fluid and particle velocities, and enhances or suppresses heat transfer depending on field intensity. Increases in radiation and volume fraction parameters lead to higher temperature profiles, while stronger magnetic fields reduce overall velocity. These findings highlight the crucial role of magnetic modulation in optimizing nanofluid performance for applications in microfluidic devices, cooling systems, and advanced thermal management technologies.