Enhancing convective heat transfer mechanisms through the rheological analysis of Casson nanofluid flow towards a stagnation point over an electro-magnetized surface

This research explores the enhancement of heat transfer efficiency using nanofluids influenced by magnetic fields and thermal radiation near a stagnation point. The study involves modeling the flow dynamics over a stretched surface to better understand the mechanisms contributing to heat transfer improvement. To achieve this, a model incorporating variable thermal conductivity and the nonlinear Rosseland radiation approximation is developed. Additionally, it incorporates the influence of magnetic fields to provide deeper insight into their combined impact on the heat transfer process. The focus is on nanofluid flow over a stretched surface, a common scenario in industrial and engineering applications such as cooling systems and heat exchangers. The methodology involves transforming the governing partial differential equations into a set of nonlinear ordinary differential equations, which are solved numerically via shooting technique to analyze fluid dynamics and heat transfer characteristics. The study uniquely integrates variable thermal conductivity and nonlinear radiation effects, offering a more comprehensive perspective on nanofluid behavior under combined influences. Key findings reveal that increasing Brownian motion leads to a thicker thermal boundary layer and elevated temperature profiles, aligning with prior research while reinforcing the robustness of the employed numerical approach. These results validate the proposed model and confirm its reliability in predicting nanofluid heat transfer behavior, contributing to the optimization of thermal management systems in industrial applications.