Mesoscopic investigation for alumina nanofluid heat transfer in permeable medium influenced by Lorentz forces

Transportation of Al2O3 nanoparticles due to magnetic forces through a permeable cubic domain with cubic hot obstacle is presented in this research. Roles of permeability and Lorentz and buoyancy forces on nanoparticles transportation are described via LBM. Brownian motion effect impact is included in properties of Al2O3-H2O nanofluid. Outputs prove that increasing Ha leads to stronger conduction mode. As Darcy number enhances, thermal boundary layer becomes thinner. Augmenting permeability makes Nuave to augment. •Al2O3 nanoparticles subject to magnetic forces are analyzed.•Brownian motion is present.•LBM is utilized.•Permeable medium is considered.