Mesoscopic method for MHD nanofluid flow inside a porous cavity considering various shapes of nanoparticles

Lattice Boltzmann method has been utilized to investigate magnetic field impact on nanofluid natural convection inside a porous enclosure with four square heat sources. Brownian motion impact on nanofluid properties is considered. Impacts of shapes of nanoparticle, Rayleigh number (Ra), Darcy number (Da), nanofluid volume fraction (ϕ), Hartmann number (Ha) on heat transfer treatment are demonstrated. Outputs indicate that convective heat transfer decreases with increase of Ha but it augments with increase of Da,Ra.