A numerical study is executed to analyze the steady state heatlines visualization, fluid flow and heat transfer inside a square enclosure with a present of magnetic field. The enclosure is divided into three layers, right and left layers filled with (Cu-Water) nanofluid while the center layer is sinusoidal porous filled with the same nanofluid. Constant hot and cold temperature is applied to right and left walls, respectively, top and bottom walls are adiabatic. Galerkin finite element approach based on weak formulation is applied to solve the governing equations. The parameters studied are number of undulation (N=1, 2 and 3), Rayleigh number (103≤Ra≤106), Darcy number (10-5≤Da≤10-1), Hartmann number (0≤Ha≤100) and volume fraction (0≤φ≤0.06). Three cases were provided depending on the number of undulation of porous medium layer. The results obtained that the absolute value of the maximum stream function decreases with the increase of Hartmann number and decrease of Darcy number for all the three cases of the wavy porous layer. Heatlines and isothermalines increase as the Darcy number is increased. The average Nusselt number growths by increasing the Rayleigh number and decreasing the Hartmann number. The enhancement of heat transfer occurred for case (2) as the Darcy number increased at a constant Ra=105, Ha=40. Also, It can be concluded that there was an excellent agreement between this study and those of Hamida and Charrada, by approximately maximum absolute error of 2.062%.

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