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The accuracy of tomographic particle image velocimetry for measurements of a turbulent boundary layer

机译:层析粒子图像测速仪测量湍流边界层的准确性

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摘要

To investigate the accuracy of tomographic particle image velocimetry (Tomo-PIV) for turbulent boundary layer measurements, a series of synthetic image-based simulations and practical experiments are performed on a high Reynolds number turbulent boundary layer at Reθ = 7,800. Two different approaches to Tomo-PIV are examined using a full-volume slab measurement and a thin-volume "fat" light sheet approach. Tomographic reconstruction is performed using both the standard MART technique and the more efficient MLOS-SMART approach, showing a 10-time increase in processing speed. Random and bias errors are quantified under the influence of the near-wall velocity gradient, reconstruction method, ghost particles, seeding density and volume thickness, using synthetic images. Experimental Tomo-PIV results are compared with hot-wire measurements and errors are examined in terms of the measured mean and fluctuating profiles, probability density functions of the fluctuations, distributions of fluctuating divergence through the volume and velocity power spectra. Velocity gradients have a large effect on errors near the wall and also increase the errors associated with ghost particles, which convect at mean velocities through the volume thickness. Tomo-PIV provides accurate experimental measurements at low wave numbers; however, reconstruction introduces high noise levels that reduces the effective spatial resolution. A thinner volume is shown to provide a higher measurement accuracy at the expense of the measurement domain, albeit still at a lower effective spatial resolution than planar and Stereo-PIV.
机译:为了研究层析粒子图像测速(Tomo-PIV)在湍流边界层测量中的准确性,在Reθ= 7,800的高雷诺数湍流边界层上进行了一系列基于合成图像的模拟和实际实验。使用全体积平板测量和薄体积“胖”光片方法检查了两种不同的Tomo-PIV方法。使用标准的MART技术和更有效的MLOS-SMART方法进行断层图像重建,显示处理速度提高了10倍。使用合成图像,在近壁速度梯度,重建方法,重影颗粒,播种密度和体积厚度的影响下,可以对随机误差和偏倚误差进行量化。将实验的Tomo-PIV结果与热线测量结果进行比较,并根据测量的平均值和波动曲线,波动的概率密度函数,波动散度在体积和速度功率谱中的分布来检查误差。速度梯度对壁附近的误差有很大的影响,并且还会增加与重影粒子有关的误差,这些重影以平均速度通过体积厚度对流。 Tomo-PIV在低波数下提供准确的实验测量;但是,重建会引入高噪声水平,从而降低有效空间分辨率。尽管与平面和Stereo-PIV相比,较薄的体积显示仍可提供较高的测量精度,但会降低测量范围,尽管有效空间分辨率仍然较低。

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