Magnetohydrodynamic Mixed Convection of a Non-Newtonian Nanofluid over a Vertical Cylinder: Slip Effects, Heat Transfer Enhancement, and Entropy Generation

This study presents a comprehensive investigation into the magnetohydrodynamic (MHD) mixed convection flow and heat transfer of a non-Newtonian nanofluid around a vertical cylinder under the influence of multiple slip effects. Utilizing the Homotopy Analysis Method (HAM), the governing partial differential equations are transformed into a system of nonlinear ordinary differential equations, capturing the intricate interactions between thermal, velocity, and nanoparticle concentration fields. The impact of magnetic fields, thermal and velocity slip conditions, and Brownian motion on heat and mass transfer are analyzed in detail. Entropy generation analysis is incorporated to evaluate the thermodynamic efficiency of the system, highlighting the interplay between fluid irreversibility and conductive heat transfer. The results reveal that increasing magnetic field intensity enhances the heat transfer rate while simultaneously suppressing velocity. Thermal slip significantly moderates boundary layer thickness, while nanoparticle concentration variations strongly affect the heat transfer characteristics. Parametric studies and graphical representations provide insights into optimizing system performance for industrial and energy applications. This work offers a robust framework for understanding advanced fluid dynamics scenarios in thermal engineering and contributes to the design of high-efficiency nanofluid-based systems.