Analysis of thermophoresis and transpiration impacts on electromagnetic convective non-Darcy radiative flow past a rotating cone

This study presents a comprehensive mathematical model to investigate the intricate transport processes involving transpiration, thermal radiation, and a magnetic field in a viscous, incompressible fluid around a rotating vertical cone. By applying suitable transformations, the governing equations were non-dimensionalized and then solved numerically using the bvp4c method. The resulting velocity, temperature, and concentration profiles were examined under practical boundary conditions, and the findings were found to be in excellent agreement with the existing literature, validating the model's accuracy. The study further explores the influence of various factors, including the thermophoretic coefficient, magnetic field, thermal radiation, transpiration, Forchheimer parameters, and relative differences in temperature and concentration, on the flow characteristics. Additionally, the impact of these parameters on mass and heat transfer rates, represented by the Sherwood and Nusselt numbers with thermophoretic particle deposition velocity Vd* and local Stanton number Str was analyzed. Notably, the study highlights the sensitivity of the wall thermophoretic velocity to changes in physical parameters, which significantly affects the flow behavior under different transpiration parameter values. The findings of this study provide valuable insights into the complex interplay between the governing physical phenomena and offer a robust numerical framework for understanding and predicting the transport processes in rotating vertical cone systems with practical applications in various fields, such as engineering, geophysics, and astrophysics.