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A Multiple-Relaxation-Time Lattice Boltzmann Model for natural convection in a Hydrodynamically and Thermally anisotropic porous medium under Local Thermal Non-Equilibrium Conditions

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Journal of Thermal Science 2020年第3期29卷 609-622页

作者： YANG Bo WU Wei LI Maodong ZHAI Wei Guangzhou Special Pressure Equipment Inspection and Research Institute Guangzhou 510663China School of Chemistry and Chemical Engineering South China University of TechnologyGuangzhou 510640China

To investigate the natural convective process in a hydrodynamically and thermally anisotropic porous medium at the representative elementary volume(REV)scale,the present work presented a multiplerelaxation-time lattice Boltzmann method(MRT-LBM)based on the assumption of local thermal non-equilibrium conditions(LTNE).Three sets of distribution function were used to solve the coupled momentum and heat transfer *** set was used to compute the flow field based on the generalized non-Darcy model;the other two sets were used to solve the temperature fields of fluid and solid under the *** describe the anisotropy of flow field of the porous media,a permeability tensor and a Forchheimer coefficient tensor were introduced into the ***,a heat conductivity tensor and a special relaxation matrix with some off-diagonal elements were selected for the thermal ***,by selecting an appropriate equilibrium moments and discrete source terms accounting for the local thermal non-equilibrium effect,as well as choosing an off-diagonal relaxation matrix with some specific elements,the presented model can recover the exact governing equations for natural convection under LTNE with anisotropic permeability and thermal conductivity with no deviation terms through the Chapman-Enskog ***,the proposed model was adopted to simulate several benchmark *** agreements with results in the available literatures can be achieved,which indicate the wide practicability and the good accuracy of the present model.

关键词： lattice Boltzmann method natural convection in anisotropic porous medium local thermal non-equilibrium

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