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Lagrangian Vorticity and Velocity Measurements in Turbulent Jets

机译:湍流射流中的拉格朗日涡度和速度测量

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摘要

We report an experimental investigation of various statistical properties ofthe spatial Fourier modes of the vorticity field in turbulent jets for a largerange of Reynolds numbers ($530 \leq R_{\lambda} \leq 6100$). The continuoustime evolution of a spatial Fourier mode of the vorticity distribution,characterized by a well defined wave-vector, is obtained from acousticscattering measurements. The spatial enstrophy spectrum, as a function of thespatial wave-vector, is determined by scanning the incoming sound frequencies.Time-frequency analysis of the turbulent vorticity fluctuations is alsoperformed for different length scales of the flows. Vorticity time-correlationsshow that the characteristic time of a Fourier mode behaves as the sweepingtime. Finally, we report preliminary Lagrangian velocity measurements obtainedusing acoustic scattering by soap bubbles inflated with helium. Gathering avery large number ($\geq 13~10^{6}$) of passages of isolated bubbles in thescattering volume, one is able to compute the Lagrangian velocity PDF andvelocity spectrum. Despite the spatial filtering due to the finite size of thebubble, the latter exhibits a power law with the -2 exponent predicted by theKomogorov theory, over one decade of frequencies.
机译:我们报告了对大范围雷诺数($ 530 \ leq R _ {\ lambda} \ leq 6100 $)的湍流射流场的空间傅立叶模态的各种统计特性的实验研究。从声散射测量中获得了由明确定义的波矢量表征的涡度分布的空间傅里叶模式的连续时间演化。通过扫描进入的声频来确定空间涡谱,作为空间波矢量的函数。对于不同长度的流,还进行了湍流涡度波动的时频分析。涡度时间相关性表明,傅立叶模式的特征时间表现为扫描时间。最后,我们报告了初步的拉格朗日速度测量结果,该测量是通过使用充有氦气的肥皂泡通过声散射获得的。收集散射体积中孤立气泡的平均数量($ \ geq 13〜10 ^ {6} $),就可以计算拉格朗日速度PDF和速度谱。尽管由于气泡的大小有限而进行了空间滤波,但在十个频率上,后者仍表现出幂定律,该定律具有科莫戈罗夫理论预测的-2指数。

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