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In this study, for the first time natural convection heat transfer of Al2O3-water nanofluid with constant and variable properties is investigated within square shape porous media using the lattice Boltzmann method. The horizontal walls of the cavity are insulated, and left and right vertical walls are hot and cold, respectively. The Study have been carried out for Rayleigh numbers of 103, 104, 105, 106, Darcy numbers of 10-2, 10-4, porosity coefficients of 0.4, 0.6, 0.9 and solid volume fraction of 0, 0.01, 0.02 and 0.03. In order to consider the effect of porous media, Darcy-Forchheimer model is used. The results show that the * ابتاكم لوئسم : :يكينورتكلا تسپ ،ت ar_rahmati@kashanu.ac.ir

Numerical Study of Natural Convection Heat Transfer of Nanofluid in a Square Shaped Porous Media using Lattice Boltzmann Method