Eringen number impact on magneto-micropolar cylinder flow: FreeFEM++ simulation with applications to ambient and energy-driven cooling systems

This study numerically investigates the combined influence of Eringen number, vortex viscosity coupling number and micromagnetorotation (MMR) on magnetically induced micropolar flow past a stationary cylinder in step channel. The mathematical model is developed using Eringen's micropolar fluid theory, incorporating microrotation, vortex viscosity and microinertia effects. The governing nonlinear equations are formulated in weak form and solved using the Galerkin-finite element method in FreeFEM++. The analysis reveals that increasing Er enhances microinertia and suppresses flow motion, reducing peak velocity by approximately 15–20% and microrotation magnitude by 60–90%, which leads to more stable wake and lower drag and lift forces. An increase in the coupling number K strengthens microrotation by about 25–45% and slightly accelerates the axial velocity due to stronger rotational–translational momentum exchange. The MMR parameters redistribute microrotation energy, damp rotational gradients and promote smoother velocity fields, thereby improving flow stability. Additionally, streamwise magnetic effects enhance axial transport, while transverse magnetic effects suppress secondary vortices, demonstrating anisotropic magnetic control of the flow. These findings highlight how micropolar and magneto-micropolar parameters can be tuned to control vortex dynamics, hydrodynamic forces and flow stability in magnetohydrodynamics-based cooling and energy systems. Study demonstrates capability of FreeFEM++ for simulation of micropolar flows.

Перевод пока недоступен