In this research, effect of Lorentz force on nanofluid natural convection inside a porous cavity is reported. Simulations have been done via Lattice Boltzmann Method. KKL model is employed to add Brownian motion effect on nanofluid properties. Impacts of Darcy number (Da), Rayleigh number (Ra), nanofluid volume fraction (ϕ) and Hartmann number (Ha) on heat transfer treatment are demonstrated. Outputs demonstrate that temperature gradient reduces with increase of Hartmann number but it enhances with augment of Darcy number.
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