论文标题
湍流边界中广义汤森 - 珀里常数的光谱链路
Spectral link of the generalized Townsend-Perry constants in turbulent boundary layers
论文作者
论文摘要
我们提出了边界层湍流的最小光谱理论，它很好地捕获了始终方向上均方根速度波动的轮廓，并给出了Townsend-Perry常数的定量预测。现象学模型基于将流向方向的统计数据与流向速度波动的能量光谱联系起来。最初的光谱理论早些时候提出了解释摩擦因素和vonKármán法律。我们通过在壁剪应力和流向速度中加入波动来概括它。将平均速度和均方波动的预测曲线与风洞实验的速度数据进行了比较。
We propose a minimal spectral theory for boundary layer turbulence that captures very well the profile of the mean square velocity fluctuations in the stream-wise direction, and gives a quantitative prediction of the Townsend-Perry constants. The phenomenological model is based on connecting the statistics in the streamwise direction with the energy spectrum of the streamvise velocity fluctuations. The original spectral theory was proposed earlier to explain the friction factor and the von Kármán law. We generalized it by including fluctuations in the wall-shear stress and the streamwise velocity. The predicted profiles for the mean velocity and mean square fluctuations are compared with velocity data from wind tunnel experiments.
