The inertial sublayer comprises a considerable and critical portion of the turbulent atmospheric boundary layer. The mean windward velocity profile is described comprehensively by the Monin–Obukhov similarity theory, which is equivalent to the logarithmic law of the wall in the wind tunnel boundary layer. Similar logarithmic relations have been recently proposed to correlate turbulent velocity variances with height based on Townsend’s attached-eddy theory. The theory is particularly valid for high Reynolds-number flows, for example, atmospheric flow. However, the correlations have not been thoroughly examined, and a well-established model cannot be reached for all turbulent variances similar to the law of the wall of the mean-velocity. Moreover, the effect of atmospheric thermal condition on Townsend’s model has not been determined. In this research, we examined a dataset of free wind flow under a near-neutral range of atmospheric stability conditions. The results of the mean velocity reproduce the law of the wall with a slope of $2.45$ and intercept of $-13.5$. The turbulent velocity variances were fitted by logarithmic profiles consistent with those in the literature. The windward and crosswind velocity variances obtained the average slopes of $-1.3$ and $-1.7$, respectively. The slopes and intercepts generally increased away from the neutral state. Meanwhile, the vertical velocity and temperature variances reached the ground-level values of $1.6$ and $7.8$, respectively, under the neutral condition. The authors expect this article to be a groundwork for a general model on the vertical profiles of turbulent statistics under all atmospheric stability conditions.

中文翻译：

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近中性条件下大气惯性子层的风湍流统计

惯性子层包括湍流大气边界层的相当大的关键部分。Monin–Obukhov相似性理论全面描述了平均迎风速度剖面，该理论等同于风洞边界层中墙的对数定律。最近已经提出了类似的对数关系，以基于汤森德的涡流理论将湍流速度变化与高度相关联。该理论对于高雷诺数流量（例如大气流量）特别有效。但是，相关性尚未得到彻底检查，并且无法针对类似于平均速度壁定律的所有湍流方差建立完善的模型。此外，尚未确定大气温度条件对Townsend模型的影响。在这项研究中，我们检查了大气稳定条件接近中性范围内自由风流的数据集。平均速度的结果重现了壁坡定律为$2.45$ 和拦截 $-13.5$。用与文献中一致的对数曲线拟合湍流速度方差。迎风风和侧风风速的变化获得了$-1.3$ 和 $-1.7$， 分别。斜率和截距通常远离中立状态而增加。同时，垂直速度和温度方差达到了地面水平$1.6$ 和 $7.8$分别处于中立状态。作者希望本文为在所有大气稳定条件下建立湍流统计垂直剖面的通用模型奠定基础。