In this paper, influence of external magnetic field and thermal radiation on heat transfer intensification of nanofluid in a porous curved enclosure is simulated. Magnetic field and shape factor effects on nanofluid properties are taken into account. Final equations are obtained by means of vorticity stream function formulation and they are solved via Control volume based finite element method. Isotherms and streamlines are shown for various values of Darcy number, Fe3O4-water nanofluid volume fraction, radiation parameter, Hartmann number and Rayleigh number. Results indicate that maximum Nusselt number is obtained for Platelet shaped nanoparticles. Heat transfer rate augments with rise of permeability of porous media and Rayleigh number and opposite trend is observed for Hartmann number. Besides, it can be found that velocity of nanofluid decreases with increase of Lorentz forces.