A numerical study of boundary layer flow of a magneto-micropolar fluid affected by micromagnetorotation

Abstract This paper investigates the intricate interplay of heat transfer within a micropolar magnetohydrodynamic (MHD) flow, emphasizing the role of micromagnetrotation (MMR). A comprehensive analysis of an incompressible, laminar, two-dimensional MHD micropolar fluid flow subjected to an externally applied magnetic field has been conducted. The shooting method effectively solved the coupled system of ordinary differential equations. The inclusion of micropolar and magnetization effects distinctly influences the magnetic induction, temperature, and macrorotational velocity profiles, with notable variations in their rates of change. The study underscores the significant impact of the magnetic Reynolds number and Eckert number in enhancing heat transfer efficiency, thereby fostering improved thermal diffusion within the system. The effect of MMR is thoroughly analyzed on hydrodynamics, temperature, macrorotational, and magnetic induction profiles, revealing intriguing flow features. To enhance the comprehensiveness of the study, skin friction and local Nusselt number results are presented in tabular and graphical formats, with detailed discussion. The findings offer valuable insights into the role of MMR in MHD flows, with potential applications in magnetic cooling systems, advanced thermal management, energy conversion, material processing, and magnetohydrodynamics.