Abstract
The thermomagnetic convection of air in a two-dimensional porous square enclosure under a magnetic quadrupole field is numerically investigated. The Scalar Magnetic Potential Method is used to calculate the magnetic field. A generalized model, which includes a Brinkman term, a Forcheimmer term, and a nonlinear convective term, is used to solve the momentum. The flow and temperature fields for the air thermomagnetic convection are presented and the local and average Nusselt numbers on the walls are calculated and compared. The results show that the magnetic field intensity, the Darcy number and the Rayleigh number have a significant effect on the flow field and heat transfer in a porous square enclosure.
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