Abstract
In current research, Lattice Boltzmann technique was hired to analyze MHD nanomaterial treatment within a permeable geometry. Brownian movement effect is included in relation of nanofluid. Importance of nanoliquid volume fraction ϕ, Hartmann parameter Ha, Reynolds parameter Re and Darcy parameter Da are illustrated. Outputs depict that isotherms accumulate next to upper surface with the rise of Da and Re. Thermal plume becomes weaker with the rise of Ha. To better describing the role of variables, new formula was derived and related profiles were drawn.
•Forced convection flow of nanofluid is modeled.•Effects of magnetic field and permeable media are accounted.•Permeable lid driven cavity with magnetic forces is employed.•Numerical solutions are obtained by Lattice Boltzmann method (LBM).