Magnetohydrodynamic nanofluid forced convection in a porous lid driven cubic cavity using Lattice Boltzmann method

In this paper, mesoscopic method is utilized to examine nanofluid forced convection in a three dimensional porous geometry in existence of uniform Lorentz forces. Lattice Boltzmann method is selected for this goal. Brownian motion effect on nanofluid is taken into account by means of Koo-Kleinstreuer-Li model. Roles of Reynolds number (Re), Hartmann number (Ha), Al2O3 volume fraction (ϕ) and Darcy number (Da) are depicted. Results are demonstrated in forms of isokinetic energy, velocity contours, streamlines, isotherms and Nusselt number. Results reveal that Lorentz force causes convection heat transfer to decrease. Temperature gradient over the hot surface increases with rise of Reynolds number, Darcy number, Al2O3 volume fraction but it reduces with augment of Hartmann number. Velocity augments with augment of ϕ , Re , Da but it decreases with increase of Ha.