Analysis of Magnetohydrodynamic Natural Convection Flow of Micropolar Fluid in a Semi-Circular Enclosure Filled

This study investigates the magnetohydrodynamic (MHD) natural convection flow of micropolar fluid in a semi-circular enclosure, incorporating the effects of thermal radiation. The analysis encompasses the interaction between buoyancy-driven flow, magnetic fields, radiative heat transfer, and the unique properties of micropolar fluids, which include microrotation and microstructure effects. The fundamental relations describing motion, thermal behavior, and rotational dynamics are established, incorporating the effects of the Lorentz force and radiative energy transfer. The Rosseland approximation is employed to model thermal radiation, and boundary conditions appropriate for a semi-circular geometry are applied. The governing relations are expressed in dimensionless form through characteristic parameters including the Rayleigh number (Ra), Prandtl number (Pr), Hartmann number (Ha), micropolar parameter (K), and radiation parameter (Rd). The modelled partial differential equations were carried out with a vorticity stream function algorithm to explore the influence of magnetic field strength, orientation, micropolar fluid properties, and radiative heat transfer on the flow and thermal characteristics. Results indicate significant alterations in flow patterns, temperature distribution, and microrotation behavior under varying magnetic field and radiative conditions. This comprehensive analysis provides insights into the complex dynamics of MHD natural convection in micropolar fluids with thermal radiation, with implications for advanced thermal management systems and materials processing applications.