Forced convection in existence of Lorentz forces in a porous cavity with hot circular obstacle using nanofluid via Lattice Boltzmann method

MHD forced convection of nanofluid inside a porous cavity with hot circular obstacle is presented. Lattice Boltzmann method is selected as simulation tool. Brownian motion impact is considered for nanofluid modeling. Roles of Reynolds number (Re), nanofluid volume fraction (ϕ), Darcy number (Da) and Hartmann number (Ha) are demonstrated. Results reveal that thermal plume diminishes with augment of Ha. Nusselt number improves with increase of Da,Re.