Abstract
Abstract In this article, mesoscopic approach has been utilized to investigate magnetic field impact on CuO H 2 O nanofluid free convection inside a porous cavity with elliptic heat source. Simulations have been done via LBM. KKL model is employed to consider Brownian motion impact on nanofluid properties. Influences of Rayleigh number ( Ra ), nanofluid volume fraction ( ϕ ), Hartmann number ( Ha ), Darcy number ( Da ) on heat transfer treatment are demonstrated. Outputs demonstrate that temperature gradient reduces with increase of Ha while it increases with augment of Da , Ra .
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