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利用两区域法,其中在多孔介质区域利用Forheimer-Brinkman-Darcy方程,纯流体区域使用Navier-Stokes方程对部分填充多孔介质的二维封闭腔体内的自然对流传热传质进行数值研究。采用有限元法辅之以流体与多孔介质交界面上的连续性弱约束条件对两区域方程进行求解,分析了多孔介质厚度、渗透率及孔隙率的变化对封闭腔体内传热传质的影响。数值结果表明:当多孔介质厚度小于0.2时,其厚度的增加可明显削弱传热传质;大于0.2时,其影响明显减弱。渗透率从10-3降低至10-6时,腔体中流动减弱,导致平均传热传质速率降低。随孔隙率增加平均传热传质速率近似线性增加。
The two-zone method is used, in which the Forheimer-Brinkman-Darcy equation is used in the porous media region and the Navier-Stokes equations are used in the pure fluid region to numerically study the natural convective heat and mass transfer in a two-dimensional closed cavity partially filled with porous media. The finite element method is used to solve the two-zone equation with the weak continuity of the interface between fluid and porous media. The influence of the change of porous media thickness, permeability and porosity on the heat and mass transfer in a closed cavity . Numerical results show that when the thickness of porous medium is less than 0.2, the increase of thickness can obviously weaken the heat and mass transfer, and the effect of heat and mass transfer is obviously weakened when the thickness of porous medium is less than 0.2. When the permeability decreases from 10-3 to 10-6, the flow in the cavity is weakened, resulting in a decrease in the average heat and mass transfer rate. As the porosity increases, the average heat and mass transfer rate increases approximately linearly.