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Flow Scales of Influence on the Settling Velocities of Particles with Varying Characteristics

机译:流量尺度对变化特性颗粒沉降速度的影响

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摘要

The settling velocities of natural, synthetic, and industrial particles were measured in a grid turbulence facility using optical measurement techniques. Particle image velocimetry and 2D particle tracking were used to measure the instantaneous velocities of the flow and the particles’ trajectories simultaneously. We find that for particles examined in this study (Rep = 0.4–123), settling velocity is either enhanced or unchanged relative to stagnant flow for the range of investigated turbulence conditions. The smallest particles’ normalized settling velocities exhibited the most consistent trends when plotted versus the Kolmogorov-based Stokes numbers suggesting that the dissipative scales influence their dynamics. In contrast, the mid-sized particles were better characterized with a Stokes number based on the integral time scale. The largest particles were largely unaffected by the flow conditions. Using proper orthogonal decomposition (POD), the flow pattern scales are compared to particle trajectory curvature to complement results obtained through dimensional analysis using Stokes numbers. The smallest particles are found to have trajectories with curvatures of similar scale as the small flow scales (higher POD modes) whilst mid-sized particle trajectories had curvatures that were similar to the larger flow patterns (lower POD modes). The curvature trajectories of the largest particles did not correspond to any particular flow pattern scale suggesting that their trajectories were more random. These results provide experimental evidence of the “fast tracking” theory of settling velocity enhancement in turbulence and demonstrate that particles align themselves with flow scales in proportion to their size.
机译:天然,合成和工业颗粒的沉降速度是使用光学测量技术在栅格湍流设备中测量的。粒子图像测速和2D粒子跟踪用于同时测量流动和粒子轨迹的瞬时速度。我们发现,对于本研究中检测到的颗粒(Rep = 0.4–123),在所研究的湍流条件范围内,相对于停滞流动,沉降速度可以提高或不变。与基于Kolmogorov的Stokes数作图时,最小的粒子归一化沉降速度呈现出最一致的趋势,这表明耗散尺度会影响其动力学。相反,基于积分时间标度的斯托克斯数可以更好地表征中等尺寸的颗粒。最大的颗粒在很大程度上不受流动条件的影响。使用适当的正交分解(POD),将流型比例与颗粒轨迹曲率进行比较,以补充通过使用斯托克斯数进行尺寸分析获得的结果。发现最小的粒子具有与小流量标度(较高的POD模式)相似的曲率轨迹,而中型粒子的曲率与较大的流量模式(较低的POD模式)相似。最大粒子的曲率轨迹与任何特定的流型比例都不对应,这表明它们的轨迹更加随机。这些结果为湍流沉降速度增强的“快速跟踪”理论提供了实验证据,并证明了粒子与流量尺度成正比地与它们的大小成正比。

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