Natural convection in a vertical slot filled with an anisotropic porous medium with oblique principal axes
Natural convection in a vertical slot filled with an anisotropic porous medium with oblique principal axes
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DOI：
10.1080/10407789608913847
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发表时间：
1996-09-01
影响因子：
2
通讯作者：
Vasseur, P
中科院分区：
文献类型：
--
作者：
Degan, G;Vasseur, P
对矩形空腔内饱和各向异性多孔介质的自然对流换热进行了解析和数值研究。空腔的侧壁等温加热和冷却，而水平壁绝热。多孔介质的渗透率是各向异性的，其主轴方向与重力矢量倾斜。在大瑞利数极限下，提出了基于Replikins和Blythe [17]开发的积分关系方法的边界层解。尺度分析用于预测边界层状态中所涉及的量级。全方程的数值解和解析解之间的比较提出了一个广泛的控制参数。数值实验证实了边界层近似解所预期的流动特征和尺度。结果表明，多孔介质的各向异性特性和不同的取向显着修改的流型和传热速率从各向同性条件下的预期。
Natural convection heat transfer in a rectangular cavity filled with a saturated anisotropic porous medium is investigated analytically and numerically. The side walls of the cavity are heated and cooled isothermally, while the horizontal walls are adiabatic. The porous medium is anisotropic in permeability with its principal axes oriented in a direction that is oblique to the gravity vector. In the large-Rayleigh-number limit a boundary layer solution, based on the integral relations approach developed by Simpkins and Blythe [17], is proposed. Scale analysis is applied to predict the order of magnitudes involved in the boundary layer regime. Comparisons between the numerical solution of the full equations and analytical solutions are presented for a wide range of the governing parameters. The numerical experiments confirm the flow features and scales anticipated by the approximate boundary layer solution. It is demonstrated that the anisotropic properties and different orientation of the porous medium considerably modify the flow pattern and heat transfer rate from that expected under isotropic conditions.