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Fluid-structure interaction analysis of non-Darcian effects on natural convection in a porous enclosure

机译:非达西对多孔罩自然对流影响的流固耦合分析

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摘要

Non-Darcian effects on natural convective flow and heat transfer in a square enclosure filled with a porous medium was analyzed numerically using fluid-structure interaction (FSI) model. The transport equations were solved for various pertinent parameters using a finite element formulation based on the Calerkin method of weighted residuals. Such parameters included Rayleigh number, porosity, elasticity of the flexible wall, and the effective thermal conductivity of the porous medium. Further, the fluid domain was described by an Arbitrary-Lagrangian-Eulerian (ALE) formulation that is fully coupled to the structure domain. Different flow models for porous media such as Darcy's law model and Darcy-Forchheimer model were considered in this investigation. Comparisons of isotherms, streamlines, and average Nusselt number are made between rigid and FSI models. The results of this investigation showed that Rayleigh number and the elasticity of the flexible wall had a profound effect on the shape of the flexible wall and consequently on the heat transfer enhancement within the enclosure.
机译:使用流体-结构相互作用(FSI)模型,对在充满多孔介质的方形围护结构中自然流对流和传热的非达西效应进行了数值分析。使用基于加权残差的Calerkin方法的有限元公式,求解了各种相关参数的输运方程。这些参数包括瑞利数,孔隙率,柔性壁的弹性以及多孔介质的有效导热率。此外,通过完全耦合到结构域的任意-拉格朗日-欧拉(ALE)公式描述了流体域。在这项研究中考虑了不同的多孔介质流动模型,例如达西定律模型和达西-福希海默模型。在刚性模型和FSI模型之间进行了等温线,流线和平均Nusselt数的比较。这项研究的结果表明,瑞利数和柔性壁的弹性对柔性壁的形状有深远的影响,因此对封闭体内的传热有很大的影响。

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