Lattice Boltzmann method modeling of magnetic water-based nanofluid through a permeable 3D enclosure

Mesoscopic theory is applied to show the nanoparticles migration through a porous 3D cavity. Various amounts of Lorentz forces, buoyancy and Darcy number on working fluid behavior are considered and depicted. Al2O3-H2O is selected including Brownian motion effect. Outputs are illustrated in views of streamlines, isokinetic and isotherms contours. Outputs display that the enhancing magnetic forces lead to rise in conduction mode. Nu_ave augments with the decrease in Lorentz forces while it improves for stronger Lorentz forces.