Macroscopic turbulence modeling for incompressible flow through undeformable porous media
Macroscopic turbulence modeling for incompressible flow through undeformable porous media
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DOI：
10.1016/s0017-9310(00)00202-7
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发表时间：
2001-03
影响因子：
5.2
通讯作者：
Marcos H. J. Pedras;M. D. Lemos
中科院分区：
文献类型：
--
作者：
Marcos H. J. Pedras;M. D. Lemos
文献提出了两种不同的方法来发展在多孔介质中流动的湍流模型。第一个从宏观方程开始使用扩展的达西-福奇海默模型。第二种方法首先利用了雷诺平均方程。这两种方法导致了k -ε模型的一组不同的方程。目前的工作详细介绍了沿第二路径的多孔介质中湍流的数学模型，或者说，对透明流体中湍流的方程进行空间积分。为了解释多孔结构，在k和ε的来源中包含了一个附加项。采用一种方法来确定所提出的附加常数。对周期元胞内微观流动方程进行了数值求解。多孔结构近似于无限排列的圆棒。采用SIMPLE方法和非正交边界拟合坐标系。将综合参数与现有数据进行比较，以充分开发均匀的多孔介质流动。初步结果与文献中的数值实验结果一致。
The literature presents two different methodologies for developing turbulent models for flow in a porous medium. The first one starts with the macroscopic equations using the extended Darcy–Forchheimer model. The second method makes use, first, of the Reynolds-averaged equations. These two methodologies lead to distinct set of equations for the k–ε model. The present work details a mathematical model for turbulent flow in porous media following the second path, or say, space-integrating the equations for turbulent flow in clear fluid. In order to account for the porous structure, an additional term is included in the sources for k and ε. A methodology is followed for determining the additional constant proposed. The equations for the microscopic flow were numerically solved inside a periodic elementary cell. The porous structure was approximated by an infinite array of circular rods. The method SIMPLE and a non-orthogonal boundary-fitted coordinate system were employed. Integrated parameters where compared to the existing data for fully developed homogeneous flow through porous media. Preliminary results are in agreement with numerical experiments presented in the literature.