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Numerical computation of macroscopic turbulence quantities in representative elementary volumes of the porous medium

机译：多孔介质代表性基本体积中宏观湍流量的数值计算

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摘要

In this study, fully developed macroscopic turbulence quantities-based on their definitions in some existing turbulence models for porous media as well as those based on definitions introduced in a recently developed model [F.E. Teruel, Rizwan-uddin, A new turbulence model for porous media flows. Part I: Constitutive equations and model closure, Int. J. Heat Mass Transfer (2009)]-are computed and analyzed for different Reynolds numbers as well as for different porosity levels. When computed based on the definition introduced in the new model, these numerically computed, pore-level turbulent quantities provide closure to the formulation. A large set of microscopic turbulent flow simulations of the REV of a porous medium, formed by staggered square cylinders, is carried out to achieve these tasks. For each Reynolds number selected, ten different porosities are simulated in the 5-95% range. The Reynolds number is varied from Re=10~3 to Re=10~5, covering four different cases of the turbulence flow regime. Numerical results obtained for the macroscopic turbulent kinetic energy based on the new definition show that the spatial dispersion of the mean flow is the main contributor to this quantity at low porosities. Additionally, it is found that for high porosities, the spatial average of the turbulent kinetic energy is the main contributor but the spatial dispersion of the mean flow cannot be neglected. The new definition of the macroscopic dissipation rate is found to asymptotically approach the volume average of this quantity at high Reynolds numbers. It is confirmed that microscopic numerical simulations are consistent with the macroscopic law that states that the macroscopic dissipation rate is determined by the pressure-drop through the REV.
机译：在这项研究中，充分发展的宏观湍流量基于其在一些现有多孔介质湍流模型中的定义以及在最近开发的模型中引入的定义[F.E. Teruel，Rizwan-uddin，一种新的多孔介质流动湍流模型。第一部分：本构方程和模型闭合，诠释。 J.传热传质（2009）]-针对不同的雷诺数以及不同的孔隙度进行了计算和分析。当根据新模型中引入的定义进行计算时，这些通过数值计算得到的孔隙水平的湍流量为配方提供了封闭性。为了完成这些任务，进行了由交错的方形圆柱体形成的多孔介质REV的大量微观湍流模拟。对于每个选定的雷诺数，在5-95％的范围内模拟十个不同的孔隙率。雷诺数在Re = 10〜3到Re = 10〜5之间变化，涵盖了四种不同的湍流状态。基于新定义获得的宏观湍动能的数值结果表明，在低孔隙度下，平均流的空间弥散是该量的主要贡献者。另外，发现对于高孔隙率，湍动能的空间平均值是主要的贡献者，但是平均流的空间色散不能忽略。发现在高雷诺数下，宏观耗散率的新定义渐近地接近该数量的体积平均值。可以肯定的是，微观数值模拟与宏观规律是一致的，宏观规律指出宏观耗散率由通过REV的压降确定。

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  • 来源
    《International Journal of Heat and Mass Transfer》 |2010年第24期|p.5190-5198|共9页
  • 作者

    Federico E. Teruel; Rizwan-uddin;

  • 作者单位

    Centra Atomico Bariloche, CNEA, Bariloche 8400, Rio Negro, Argentina Department of Nuclear, Plasma and Radiological Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 67801, USA;

    rnDepartment of Nuclear, Plasma and Radiological Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 67801, USA National Center of Super Computing Applications, University of Illinois at Urbana-Champaign, USA;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    porous media; REV; turbulence; macroscopic turbulent kinetic energy;

    机译：多孔介质REV;湍流宏观湍动能;

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