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Lagrangian acceleration measurements in turbulence at large Reynolds numbers.

机译:大雷诺数下湍流中的拉格朗日加速度测量。

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摘要

This thesis reports measurements of fluid particle acceleration in a large Reynolds number turbulent flow. The method for acceleration measurement is direct optical imaging of the positions of tracer particles and extraction of their accelerations from the position as a function of time. In order to meet the stringent imaging requirements for such measurements, we have implemented an ultra high speed imaging system based on silicon strip detectors. These detectors have been designed and optimized for vertex detectors in high energy physics collider experiments. With this system we are able to measure two coordinates of tracer particle positions with a dynamic range of better than 5000:1 and a frame rate of 70,000 frames per second.;Acceleration measurements are performed in a flow between counter-rotating disks from Rlambda = 140 to R lambda = 970. The normalized acceleration variance is found to increase with Reynolds number at the lower Reynolds numbers and becomes nearly constant at the higher Reynolds numbers. This plateau is consistent with the Kolmogorov (1941) prediction. Different acceleration components are found to have about 15% different variance even at the highest Reynolds number. The acceleration probability distribution is found to have strong stretched exponential tails and flatness greater than 50.;An analysis of various sources of sample bias and other systematic errors is performed. Measurements of the acceleration variance as a function of the tracer particle size and fluid density demonstrate that the small tracer particles are acting as fluid particles to within the accuracy of the measurements. Measurements of the acceleration of larger particles provides direct measurement of the forces on particles when they are large enough that they are averaging over the small scale structure of the turbulence.
机译:本文报道了在大雷诺数湍流中流体颗粒加速度的测量结果。加速度测量的方法是对示踪剂颗粒的位置进行直接光学成像,并根据时间从位置提取其加速度。为了满足此类测量的严格成像要求,我们已实现了基于硅条探测器的超高速成像系统。这些探测器针对高能物理对撞机实验中的顶点探测器进行了设计和优化。借助该系统,我们能够测量示踪剂粒子位置的两个坐标,动态范围优于5000:1,帧速率为每秒70,000帧。;加速度测量是在Rlambda =反向旋转盘之间的流动中进行的140至R lambda =970。发现归一化的加速度方差在较低的雷诺数下随雷诺数增加而在较高的雷诺数下几乎恒定。这个高原与Kolmogorov(1941)的预测是一致的。发现即使在最高雷诺数下,不同的加速度分量也具有约15%的差异。发现加速度概率分布具有很强的拉伸指数尾部并且平坦度大于50。进行了各种样本偏差和其他系统误差的分析。根据示踪剂粒径和流体密度对加速度方差的测量结果表明,示踪剂小颗粒在测量精度范围内充当了流体颗粒。当较大的粒子足够大以至于它们在湍流的小尺度结构上求平均值时,对较大粒子的加速度的测量就可以直接测量粒子上的力。

著录项

  • 作者

    Voth, Greg Anthony.;

  • 作者单位

    Cornell University.;

  • 授予单位 Cornell University.;
  • 学科 Physics Fluid and Plasma.
  • 学位 Ph.D.
  • 年度 2000
  • 页码 2000 p.
  • 总页数 2000
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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