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Abstract-In this paper, a lattice BGK model for thermal flows is used to simulate laminar natural convection in an infinite horizontal channel, partially heated by Lattice Boltzmann method. We applied the model based on the double-distribution function approach in two dimensional. Velocity and temperature distributions as well as Nusselt number were obtained and analyzed for the Rayleigh number ranging from 2.10 3 to 5.10 4 with the Prandtl number equal 0.71.

In this work, a contribution to the modeling and numerical simulation of mixed convection in a horizontal channel heated from below is presented. The lattice Boltzmann model with double thermal populations (TLBM) is used with the D2Q9 model for the dynamic field and D2Q5 for the thermal field. A comparison of the results obtained by the lattice Boltzmann model with those of the literature is presented for an area stretching ratio B = H / L = 20, a Reynolds number Re = 10, Rayleigh Ra = 104 and Peclet number Pe = 20/3. The streamlines and isotherms are presented for different periods of flow.