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 2.103 to 5.104 with the Prandtl number equal 0.71.
Index Terms—Double distribution function LBGK, horizontal channel, natural convection, thermal lattice Boltzmann method.
S. Houat is with the Mechanical Engineering Department, University of Abdelhamid Ibn Badis University of Mostaganem, Bp300, 27000 Mostaganem, Algeria, and Laboratory of Numerical and experimental modeling of mechanical phenomena (e-mail: sa_houat@ yahoo.fr).
N. Saidi is with the Department of Biology, University of Abdelhamid Ibn Badis University of Mostaganem, Bp300, 27000 (e-mail: n_saidi@yahoo.fr).
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Cite: S. Houat and N. Saidi, "The Study of the Natural Convection in an Infinite Horizontal Channel Partially Heated by Lattice Boltzmann Method," International Journal of Materials, Mechanics and Manufacturing vol. 2, no. 3, pp. 251-255, 2014.
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