PIV and POD Investigations of Coherent Vortices Downstream Circular or Rectangular Obstacles Located Between Two Parallel Plates

F. Aloui, A. Elawady, K. Hammad
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Abstract

The study is an experimental investigations using PIV. The measurements were obtained by PIV for an unsteady laminar flow across a rectangular channel with a cross-section 300 × 30mm2, in the middle of which is located a cylindrical or a square obstacle. In the case of the cylindrical configuration and due to the confinement, PIV measurements in the range of 40 < Re < 200 clearly show that the von Karman vortex shedding appears at a critical Reynolds number which is about 66. A post-processing of these PIV measurements using the Proper Orthogonal Decomposition (POD) technique is by keeping only the first most energetic six modes, can be used as a filtering process to remove noise from instantaneous velocity signals. In the case of the square obstacle, PIV measurements obtained in the range of 30 < Re < 350 show the absence of vortex detachments and the chaotic behavior of the wake behind the obstacle beyond a certain Reynolds number. By examining the POD post-possessing results, the existence of a dynamic detachments’ regime (instantaneous breaking and coalescence of vortices), can be clearly observed. Given the chaotic behavior of the wake behind the obstacle, the application of the POD filtering process to only the first most energetic modes, cannot lead to good results.
位于两个平行板之间的圆形或矩形障碍物下游相干涡的PIV和POD研究
本研究是利用PIV进行的实验性研究。用PIV测量了横截面为300 × 30mm2的矩形通道中存在圆柱形或方形障碍物的非定常层流。在圆柱结构的情况下,由于约束,在40 < Re < 200范围内的PIV测量清楚地表明,von Karman涡脱落出现在临界雷诺数约为66时。使用适当正交分解(POD)技术对这些PIV测量进行后处理,仅保留前六个最具能量的模式,可以用作从瞬时速度信号中去除噪声的滤波过程。在方形障碍物的情况下,在30 < Re < 350范围内获得的PIV测量结果显示,超过一定雷诺数后,障碍物后的尾迹没有涡流分离,并且存在混沌行为。通过检查POD后置结果,可以清楚地观察到动态分离状态(旋涡的瞬时断裂和合并)的存在。考虑到障碍物后尾迹的混沌行为,将POD滤波过程只应用于第一个最高能量模式,不能得到很好的结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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