Thermodynamic and Heat Transfer Analysis of Mixed Convection Stagnation Point Flow of a Micropolar Fluid Over a Vertical Heated Plate

ABSTRACT In this paper, the steady two‐dimensional mixed‐convection stagnation‐point flow of an electrically conducting, incompressible micropolar Eyring–Powell fluid over a vertical heated plate in the presence of a transverse magnetic field, thermal radiation, Joule heating, viscous dissipation, a porous medium, and internal heat generation/absorption is investigated analytically using the Homotopy Analysis Method (HAM). A comprehensive mathematical model incorporating these coupled physical effects is developed to examine their influence on the flow, microrotation, and heat transfer characteristics of the fluid. The analytical HAM solutions are validated through comparison with the MATLAB bvp4c solver and published results, demonstrating excellent agreement. The results reveal that increasing the micropolar parameter increases the skin‐friction coefficient by approximately 30% while reducing the heat transfer rate by nearly 20%. In addition, assisting buoyancy () increases the wall couple stress by approximately 35%, thermal radiation enhances the Nusselt number by nearly 70%, whereas changing from heat absorption to heat generation and increasing the Eckert number reduce the heat transfer rate by approximately 80% and 10%, respectively. The present study provides a comprehensive understanding of the coupled effects of multiple transport mechanisms on micropolar Eyring–Powell fluid flow and offers useful theoretical guidance for the design and optimization of advanced thermal management systems involving electrically conducting non‐Newtonian fluids.