ISSN Online: 2377-424X
ISBN Print: 978-1-56700-474-8
ISBN Online: 978-1-56700-473-1
International Heat Transfer Conference 16
A MULTIPLE-RELAXATION-TIME LATTICE BOLTZMANN MODEL FOR NATURAL CONVECTION IN A HYDRODYNAMICALLY AND THERMALLY ANISOTROPIC POROUS MEDIUM UNDER LOCAL THERMAL NON-EQUILIBRIUM CONDITIONS
要約
A multiple-relaxation-time (MRT) lattice Boltzmann (LB) method is established for the natural convective flow and heat transfer in a hydrodynamically and thermally anisotropic porous medium under local thermal non-equilibrium (LTNE) conditions at the representative-elementary-volume (REV) scale. The presented LB model consists of three sets of distribution function for the flow field based on the generalized non-Darcy model, and the temperature fields of fluid and solid matrix described by the LNTE conditions, respectively. A permeability tensor and a Forchheimer coefficient tensor is introduced to account for the hydrodynamical anisotropy, while a heat conductivity tensor and a special relaxation matrix with some off-diagonal elements is selected for the thermal anisotropy. Numerical tests for several benchmark problems are carried out to validate the wide practicability and the accuracy of the present model. Good agreements with results in the available literatures can be achieved.