Asian Journal of Pure and Applied Mathematics

This study examines the key characteristics of Casson nanofluid flow across a rotating disk, incorporating the effects of Brownian motion and thermophoresis. Additionally, the analysis considers the impact of thermal radiation and the Soret effect. Efficient heat transfer plays a crucial role in various industries, including transportation, manufacturing, and thermal power generation. However, a key challenge in designing heat transfer systems is the low thermal efficiency of conventional working fluids. Given the limited thermal efficiency of traditional fluids, nanofluids have gained considerable attention in recent years due to their enhanced heat transfer capabilities, making them valuable in various industrial and engineering applications. The research is motivated by its broad relevance in technological and engineering fields. The governing equations for fluid flow are converted into a system of nonlinear ordinary differential equations (ODEs) using appropriate similarity transformations. A numerical solution for these nonlinear ODEs is obtained through the numerical method via Shooting method combined with six order Runge Kutta Scheme. The computational process is implemented and executed using Maple software for numerical simulation. The results obtained through Maple simulations are validated by comparing with existing results in the literature and the results show excellent agreement. Graphical representations demonstrate how dimensionless physical parameters influence velocity, temperature, and concentration profiles. The numerical study examines the influence of Soret and multiple slip effects on magnetized Casson nanofluid flow over a rotating disk. Given its relevance to engineering and industrial applications, this research holds significant practical value. The findings reveal that thermal slip reduces fluid velocity, while an increase in the velocity slip factor leads to a decline in temperature distribution.