In the current research, ferrofluid migration and exergy destroyed became the main goal. Demonstration of characteristics impact of permeability, buoyancy and Hartmann numbers on variation of nanomaterial movement as well as irreversibility was examined. CVFEM with triangular element is utilized to calculate the solution of formulated equations. An increment in magnetic field results in greater exergy drop which is not beneficial in view of convective mode. An increase in permeability demonstrates a growth of nanomaterial convective flow. Augmenting Da causes a reduction in Bejan number while it makes Nuave to augment.