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Effect of darcy number in double diffusive non-darcy mixed convective flow in vertical pipe filled anisotropic porous media

机译:垂直管道填充各向异性多孔介质中达西数对双扩散非达西混合对流的影响

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The Comprehensive numerical study is made here for non-darcy fully developed mixed convection in a vertical pipe filled with anisotropic porous media. The motion in the pipe caused by external pressure gradient and buoyancy force. Non-Darcy Brinkmen-Forchheimer extended model has been adopted in momentum equation. The basic flow model under appropriate physical assumption formed in the form of coupled differential equation which is solved numerically using Chebyshev Spectral collocation technique. Here the Effect of darcy number is given for the different cases of RaT (Rayilegh thermal number) in which the buoyancy due to thermal in favor of buoyancy due to Solutal impact and in another situation they opposed each other. velocity profile posses point of inflection beyond the threshold value of RaT (Rayleigh thermal number. In case of buoyancy opposed each other, along with the velocity profile may contain point of inflection in the centre zone and point of separation at the vicinity of the wall. Point of separation is creating a back flow near the wall.
机译:在此,对充满各向异性多孔介质的垂直管道中非达西充分发展的混合对流进行了综合数值研究。管道中的运动是由外部压力梯度和浮力引起的。动量方程采用了非达西·布林克曼-福希海默扩展模型。在适当的物理假设下,基本流量模型以耦合微分方程的形式形成,该方程使用Chebyshev频谱搭配技术进行数值求解。此处,达西数的影响是针对Ra T (Rayilegh热数)的不同情况给出的,其中热引起的浮力有利于Solutal冲击产生的浮力,而在另一种情况下,它们彼此相对。速度分布图的拐点超过Ra T (瑞利热值)的阈值。在浮力彼此相对的情况下,速度分布图可能包含中心区域的拐点和分离点在壁附近产生回流。

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