Modeling Micromagnetorotational Dynamics in Magneto-Micropolar Fluids withThermal Relaxation Effects

Abstract

Conventional models of magneto-micropolar fluids often over look the complexities of anisotropic particle rotation and depend on the physically restrictive Fourier’s law, which assumes instantaneous heat trans port. To overcome these limitations, the present study comprehensively investigates the boundary-layer flow of a magneto-micropolar fluid by integrating two key physical mechanisms: the anisotropic Micromagne torotation (MMR) constitutive relation and the Cattaneo–Christov (CC) heat-flux model accounting for thermal relaxation. The resulting nonlinear governing partial differential equations are solved numerically using the shooting method. The findings reveal that the MMR parameter exerts a dual influence—broadening the momentum boundary layer while thinning the thermal boundary layer. Moreover, the inclusion of the CC model introduces a physically consistent correction by predicting a measurable reduction in the local Nusselt number relative to the classical Fourier for mulation. The outcomes of this research provide fundamental insights essential for the accurate modeling, design, and optimization of micro cooling systems and magnetic nanoparticle transport technologies