The magnetohydrodynamic (MHD) flow of a nanofluid through a permeable duct was analyzed via the mesoscopic approach. The lattice Boltzmann method (LBM) was selected to portray the impacts of magnetic (Ha) , Reynolds (Re) and Darcy (Da) numbers on the nanofluid behavior. Copper oxide nanoparticles were dispersed into H2O. The properties of the fluid were predicted considering Brownian motion. Outputs illustrate that a thinner thermal boundary layer can be seen with augment of Da and Ra . Employing a magnetic field can enhance the Nuave.