Enhanced heat transfer in viscoelastic fluids with periodic magnetic fields and dusty nanoparticles between two parallel plates under thermal radiation

Exploring the intricate relationship between periodic magnetic fields and dusty nanofluids within one-dimensional, unidirectional frameworks shows great potential for advancing precise control within microfluidic devices and bolstering heat transfer efficiency in nanotechnology realms. In this study, we delve into the impact of heat transfer and periodic magnetic fields on viscoelastic nanofluids laden with dust particles, confined between two parallel plates. The flow dynamics are instigated by buoyancy forces, with due consideration given to heat transfer phenomena. Employing partial differential equations, we model the flow behavior, and through the application of the Poincare<acute accent>-Light Hill Technique, we attain exact solutions. Graphical representations elucidate the temperature and velocity profiles, revealing the nuanced influences of various parameters. Utilizing Mathcad-15, we generate visual depictions of the fluid and dust particle distributions. Furthermore, our analysis delves into critical fluid attributes vital for engineering applications, including skin friction and heat transfer rates, which are comprehensively examined and tabulated. This encompasses the evaluation of heat transfer rates at the wedge surface, alongside the resultant influence on surface viscous drag forces. Our findings indicate that magnetic parameters induce reductions in both base fluid and dusty particle velocities, alongside the emergence of periodic motion under the influence of periodic magnetic fields. Periodic magnetic fields generate electrical power in induction generators widely used in wind turbines, hydroelectric power plants, and other renewable energy sources.