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arXiv 1902.07445physics.flu-dynphysics.ao-ph
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在壁turbulence中不可能存在$k_x^{-1}$谱律:大气近地层的观测

Unlikely existence of $k_x^{-1}$ spectral law in wall turbulence: an observation of the atmospheric surface layer

H. Mouri, T. Morinaga, S. Haginoya

摘要:

对于壁湍流,已经预测了流向波数$k_x$的范围,使得流向速度波动的谱密度与$k_x^{-1}$成比例。在这里考察这个$k_x^{-1}$定律的存在与否。我们观察了几个月的大气表面层,选择合适的数据,并用它们来合成的能量谱,将代表在一个非常高的雷诺数壁湍流。结果不符合$k_x^{-1}$定律。这与最近对附着在壁面上的含能涡旋模型的预测进行的修正相当一致。这些发现的原因进行了数学讨论。

英文摘要:

For wall turbulence, there has been predicted a range of streamwise wavenumbers $k_x$ such that the spectral density of streamwise velocity fluctuations is proportional to $k_x^{-1}$. The existence or nonexistence of this $k_x^{-1}$ law is examined here. We observe the atmospheric surface layer over several months, select suitable data, and use them to synthesize the energy spectrum that would represent wall turbulence at a very high Reynolds number. The result is not consistent with the $k_x^{-1}$ law. It is rather consistent with a recent correction to the prediction of a model of energy-containing eddies that are attached to the wall. The reason for these findings is discussed mathematically.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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