Exploring the role of Casson hybrid nanofluid flow through a stretching cylinder with a significant impact of heat source/sink: A computational analysis

The study of blood circulation under restricted flow conditions holds significant importance in biomedical research, which explains why mathematical fluid mechanics extensively focuses on these problems—particularly the impact of nanoparticles on blood movement through a constricted pathway. In this context, we analyzed the Casson fluid model to gain insights into its mathematical flow behavior. This study explicitly examines the magnetohydrodynamic Casson hybrid nanofluid flow over a stretching cylinder, incorporating the effects of a heat source or sink and a porous medium. Appropriate self-similarity variables were employed to transform the governing partial differential equations into ordinary differential equations to facilitate the mathematical formulation. These equations were then numerically solved using the bvp5c method in the MATLAB to generate graphical representations. It was observed that an increase in the magnetic field parameter enhances the velocity profile, while the opposite effect is observed on the temperature profile due to the influence of the Lorentz force. In addition, higher values of the heat generation parameter (Q) increased the temperature distribution. The skin friction coefficient and Nusselt number also showed improvement with increasing magnetic field strength. Overall, the combined effects of the magnetic field and heat generation significantly impact the temperature distribution. This research contributes to a deeper mathematical understanding of fluid behavior under complex conditions, emphasizing its relevance in biomedical applications. The findings highlight the model’s potential to advance innovations in fluid mechanics, particularly in the medical and engineering fields.