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On velocity gradients in PIV interrogation

机译:在PIV询问中的速度梯度

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摘要

This paper presents a generalization of the description of the displacement-correlation peak in particle image velocimetry (PIV) to include the effects due to local velocity gradients at the scale of the interrogation domain. A general expression is derived that describes the amplitude, location and width of the displacement-correlation peak in the presence of local velocity gradients. Simplified expressions are obtained for the peak centroid and peak width for simple non-uniform motions. The results confirm that local gradients can be ignored provided that the variation of the displacement within the interrogation domain does not exceed the (mean) particle-image diameter. An additional bias occurs for a spatially accelerating or decelerating fluid, which implies an artificial "particle inertia" even when the particles can be considered as ideal tracers.
机译:本文介绍了粒子图像测速(PIV)中位移相关峰的描述的一般化,以包括在询问域范围内局部速度梯度引起的影响。导出了一个通用表达式,该表达式描述了存在局部速度梯度时位移相关峰的幅度,位置和宽度。对于简单的非均匀运动,可以得到峰质心和峰宽的简化表达式。结果证实,只要在查询域内位移的变化不超过(平均)粒子图像直径,就可以忽略局部梯度。对于空间加速或减速的流体会产生额外的偏差,即使将粒子视为理想的示踪剂,这也意味着人为的“粒子惯性”。

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