Boundary-layer flow and turbulence near porous obstacles
Boundary-layer flow and turbulence near porous obstacles
复制标题
多孔障碍物附近的边界层流动和湍流
DOI：
10.1007/bf00715711
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发表时间：
1995
影响因子：
4.3
通讯作者：
E. Takle
中科院分区：
文献类型：
--
作者：
Hao Wang;E. Takle
我们通过采用两步平均过程推导出一组穿过多孔障碍物的流动控制方程。描述多孔障碍物空气空间的布辛涅斯克近似下的纳维-斯托克斯方程受到高波数平均的影响，从而产生一组高频（尾流）湍流方程。然后，我们使用传统的雷诺平均方法来获得统计上稳定的均值和湍流方程，其中包括尾流和剪切湍流之间的相互作用。我们的方法为湍流动能级联提供了理论基础。我们使用这种方法来分析简单K理论和高阶闭包模型的常数和参数。我们还定性地讨论了湍流能量产生过程的理论以及不同湍流机制之间相互作用的意义。
We derive a set of governing equations for flow through porous obstacles by employing a two-step averaging processes. The Navier-Stokes equations under the Boussinesq approximation that describe the air space of the porous obstacle are subjected to high-wavenumber a veraging, which leads to a set of high-frequency (wake) turbulence equations. We then use conventional Reynolds-averaging methods to obtain statistically steady mean and turbulence equations that include interactions between wake and shear turbulence. Our method provides a theoretical basis for the cascade of turbulent kinetic energy. We use this approach to analyze the constants and parameters of simpleK-theory and higher-order closure models. We also discuss qualitatively the theory of the turbulence energy generation process and the significance of interactions between different turbulent mechanisms.