Lattice Boltzmann Simulation of Convection in a Porous Medium with Temperature Jump and Velocity Slip Boundary Conditions

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作者
XU YouSheng LIU Yang YANG XiaoFeng WU FengMin Department of PhysicsZhejiang Normal UniversityJinhua China Department of Mechanically EngineeringThe Hong Kong Polytechnic UniversityKowloonHong KongChina Department of Computer EngineeringYiwu Industrial and Commercial CollegeYiwu China [1 ,2 ,2 ,3 ,11 ,321004 ,2 ,3 ,322000 ]
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基金
中国国家自然科学基金;
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中图分类号
O357.3 [渗流];
学科分类号
080103 ; 080704 ;
摘要
To investigate the convection in a porous medium,a horizontal quiescent layer of one fluid saturatinga porous medium heated from bottom is numerically studied using single lattice-Boltzmann method (LBM) and thegeneralized Navier Stokes equation proposed by Nithiarasu et al.[P.Nithiarasu,K.M.Seetharamu,and T SundararajanInt.J.Heat Mass Trans.40 (1997) 3955].Due to the rarefaction,the boundary conditions are considered as bothtemperature jump and velocity slip.The computational results are validated against the analytical results,and excellentagreement has been obtained.The results have shown that the Rayleigh number is increased with increasing temperaturejump,the stabilization effect of temperature is much more significant than that of velocity slip,and the computationstability of present model is better than that of Darcy and Brinkman models.
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页码:1319 / 1322
页数:4
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