Natural convection flow of magnetohydrodynamic micropolar fluid in a dome-shaped enclosures

Resumo

This study conducts a numerical investigation into laminar flow and natural convection heat transfer of micropolar fluid within dome-shaped enclosures (DSEs). The enclosure features adiabatic left and right walls, while the bottom wall is maintained at constant temperatures, with top dome-shape wall is cold. The study examines how the unique geometry of DSEs influences natural convection (N.C.) and flow characteristics under varying parameters such as Rayleigh number (Ra), Prandtl number (Pr), Hartmann number (Ha), micropolar parameter (K), and radiation parameter (Rd). The developed mathematical model, based on the vorticity-stream function method, investigates the influence of magnetic field strength and direction, micropolar fluid characteristics, and radiative heat transfer on both thermal and flow behavior. The results reveal significant modifications in velocity profiles, temperature distribution, and microrotation patterns due to changes in magnetic and radiative effects. This comprehensive analysis contributes to a deeper understanding of MHD natural convection in micropolar fluids with thermal radiation, aiding progress in advanced heat management systems and industrial applications.