In this work, the mesoscopic theory is invoked to depict nanoparticle transportation through a porous cavity. Different amounts of Lorentz forces, Rayleigh number and permeability on the working fluid treatment have been examined. Al2O3-H2O is selected including the Brownian motion effect. Isokinetic, streamlines, and isotherms contours are various shapes of outputs. Results illustrate that the increase in magnetic forces lead to an increase in the conduction mode. Dispersing nanoparticles aids to increase the Hartmann number.