Lattice Boltzmann Simulations for Thermal Conductivity Estimation in Heterogeneous Materials
For simulating flows in a porous medium, a numerical tool based on the Lattice Boltzmann Method (LBM) is developed with regards to the classical D2Q9 model. A short description of this model is presented. This technique, applied to two-dimensional configurations, indicates its ability to simulate phenomena of heat and mass transfer. The numerical study is extended to estimate physical parameters that characterize porous materials, like the so-called Effective Thermal Conductivity (ETC) which is of our interest in this paper. Obtained results are compared with those which could be found analytically and by theoretical models. Finally, a porous medium is considered to find its ETC.
Andreas Öchsner, Graeme E. Murch and Ali Shokuhfar
M.R. Arab et al., "Lattice Boltzmann Simulations for Thermal Conductivity Estimation in Heterogeneous Materials", Defect and Diffusion Forum, Vols. 283-286, pp. 364-369, 2009