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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

A Multiple-Relaxation-Time Lattice Boltzmann Model for Natural Convection in a Hydrodynamically and Thermally Anisotropic Porous Medium under Local Thermal Non-Equilibrium Conditions

作     者:YANG Bo WU Wei LI Maodong ZHAI Wei YANG Bo;WU Wei;LI Maodong;ZHAI Wei

作者机构:Guangzhou Special Pressure Equipment Inspection and Research InstituteGuangzhou 510663China School of Chemistry and Chemical EngineeringSouth China University of TechnologyGuangzhou 510640China 

出 版 物:《Journal of Thermal Science》 (热科学学报(英文版))

年 卷 期:2020年第29卷第3期

页      面:609-622页

核心收录:

学科分类:080701[工学-工程热物理] 08[工学] 0807[工学-动力工程及工程热物理] 

基  金:supported by the National Natural Science Foundation of China(Grant No.51806067) China Postdoctoral Science Foundation(Granted No.2015M572310) Fundamental Research Funds for the Central Universities(Granted No.2017MS018) Guangdong Province Science and Technology projects(Grante 2017A040402005) Guangdong Bureau of Quality and Technical Supervision Science and Technology projects(Granted No.2016CT23) 

主  题:lattice Boltzmann method natural convection in anisotropic porous medium local thermal non-equilibrium 

摘      要: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.

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