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Steady natural convection flow in a square cavity filled with a porous medium for linearly heated side wall(s)

机译:方形空腔中的自然对流稳定流动,该空腔中充满了用于线性加热侧壁的多孔介质

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In this paper natural convection flows in a square cavity filled with a porous matrix has been investigated numerically when the bottom wall is uniformly heated and vertical wall(s) are linearly heated whereas the top wall is well insulated. Darcy-Forchheimer model without the inertia term is used to simulate the momentum transfer in the porous medium. Penalty finite element method with bi-qua-dratic rectangular elements is used to solve the non-dimensional governing equations. Numerical results are presented for a range of parameters (Rayleigh number Ra, 10~3 ≤ Ra ≤ 10~6, Darcy number Da, 10~(-5) ≤ Da ≤ 10~(-3), and Prandtl number Pr, 0.2 ≤ Pr ≤ 100) in terms of stream functions and isotherm contours, and local and average Nusselt numbers.
机译:在本文中,当底壁被均匀加热且垂直壁被线性加热而顶壁被很好地隔热时,对填充有多孔基质的方腔中的自然对流进行了数值研究。不使用惯性项的Darcy-Forchheimer模型用于模拟多孔介质中的动量传递。采用具有二次二次矩形元素的惩罚有限元方法来求解无量纲控制方程。给出了一系列参数的数值结果(瑞利数Ra,10〜3≤Ra≤10〜6,达西数Da,10〜(-5)≤Da≤10〜(-3),普朗特数Pr,0.2 ≤Pr≤100),取决于流函数和等温线轮廓,以及局部和平均Nusselt数。

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