Thermal transport and lift-drag dynamics in magneto-micropolar flow past over a bluff body within a lid-driven channel under localized magnetic field influence

The thermal transport and lift-drag behavior of an unsteady magneto-micropolar fluid past a circular bluff body under a localized magnetic field are investigated numerically. The governing equations, formulated in a dimensionless framework consistent with the principles of magnetohydrodynamics and ferrohydrodynamics, are solved using the finite element method. The effects of micropolar parameter (K), Reynolds number (Re), Stuart number (N), and magnetic number (M) on flow stability, microrotation, and heat transfer are analyzed. Increasing M suppresses vortex shedding and stabilizes the flow, reducing oscillation in lift, drag, and wall heat flux. In contrast, higher K intensifies microrotation and enhances drag and thermal mixing, while increasing Re strengthen flow unsteadiness and convective transport. The results provide new insight into magnetically controlled micropolar flows relevant to cooling, biomedical and microfluidic systems.