Influence of time interval between particle images on the measurement accuracy of stereoscopic PIV
CHEN Qigang1, ZHONG Qiang2
1. School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China; 2. College of Water Resources&Civil Engineering, China Agricultural University, Beijing 100083, China
Abstract:Stereoscopic particle image velocimetry (SPIV) measures planar three-dimensional velocity fields through the use of at least two pairs of particle images recorded separately by two different cameras. The measurement accuracy is closely related to the time interval between particle images. Two data sets for a laminar flow field and a turbulent open channel flow field were used to investigate the influence of the time interval on the SPIV measurement accuracy. The results show that when the one-quarter rule is satisfied, the overall measurement accuracy for laminar flow improves with increasing time interval. However, larger time intervals lead to lower measurement accuracies in regions with large velocity gradients when the particle displacement in the interrogation window does not satisfy the two-thirds rule. For the turbulent open channel flow, the measurement accuracy in the outer region changes little with the time interval, but the errors in the near-wall region increase greatly with increasing time interval when the two-thirds rule is not satisfied. For both flows, the measurement errors increase when the one-quarter rule is not satisfied. Thus, the one-quarter rule must always be satisfied and a relatively long time interval will improve the measurement accuracy for flows with negligible velocity gradients. Finally, the longest time interval satisfying the two-thirds rule is the optimum choice for measuring flows with large velocity gradients.
陈启刚, 钟强. 粒子图像时间间隔对体视PIV测量误差的影响[J]. 清华大学学报(自然科学版), 2020, 60(10): 864-872.
CHEN Qigang, ZHONG Qiang. Influence of time interval between particle images on the measurement accuracy of stereoscopic PIV. Journal of Tsinghua University(Science and Technology), 2020, 60(10): 864-872.
[1] ARROYO M P, GREATED C A. Stereoscopic particle image velocimetry[J]. Measurement Science and Technology, 1991, 2(12):1181-1186. [2] 陈启刚, 钟强. 体视粒子图像测速技术研究进展[J]. 水力发电学报, 2018, 37(8):38-54. CHEN Q G, ZHONG Q. Advances in stereoscopic particle image velocimetry[J]. Journal of Hydroelectric Engineering, 2018, 37(8):38-54. (in Chinese) [3] LAWSON N J, WU J. Three-dimensional particle image velocimetry:Error analysis of stereoscopic techniques[J]. Measurement Science and Technology, 1997, 8(8):894-900. [4] LAWSON N J, WU J. Three-dimensional particle image velocimetry:Experimental error analysis of a digital angular stereoscopic system[J]. Measurement Science and Technology, 1997, 8(12):1455-1464. [5] STANISLAS M, OKAMOTO K, KÄHLER C, et al. Main results of the third international PIV challenge[J]. Experiments in Fluids, 2008, 45(1):27-71. [6] KÄHLER C J, ASTARITA T, VLACHOS P P, et al. Main results of the 4th international PIV challenge[J]. Experiments in Fluids, 2016, 57(6):97. [7] KEANE R D, ADRIAN R J. Optimization of particle image velocimeters. I. Double pulsed systems[J]. Measurement Science and Technology, 1990, 1(11):1202-1215. [8] KEANE R D, ADRIAN R J. Optimization of particle image velocimeters:II. Multiple pulsed systems[J]. Measurement Science and Technology, 1991, 2(10):963-974. [9] KEANE R D, ADRIAN R J. Theory of cross-correlation analysis of PIV images[J]. Applied Scientific Research, 1992, 49(3):191-215. [10] WESTERWEEL J, ELSINGA G E, ADRIAN R J. Particle image velocimetry for complex and turbulent flows[J]. Annual Review of Fluid Mechanics, 2013, 45:409-436. [11] POELMA C, WESTERWEEL J, OOMS G. Turbulence statistics from optical whole-field measurements in particle-laden turbulence[J]. Experiments in Fluids, 2006, 40(3):347-663. [12] SCIACCHITANO A, SCARANO F, WIENEKE B. Multi-frame pyramid correlation for time-resolved PIV[J]. Experiments in Fluids, 2012, 53(4):1087-1105. [13] 陈启刚. 基于高频PIV的明渠湍流涡结构研究[D]. 北京:清华大学, 2014. CHEN Q G. High-frequency measurement of vortices in open channel flow with particle image velocimetry[D]. Beijing:Tsinghua University, 2014. (in Chinese) [14] SOLOFF S M, ADRIAN R J, LIU Z C. Distortion compensation for generalized stereoscopic particle image velocimetry[J]. Measurement Science and Technology, 1997, 8(12):1441-1454. [15] WIENEKE B. Stereo-PIV using self-calibration on particle images[J]. Experiments in Fluids, 2005, 39(2):267-280. [16] WESTERWEEL J. On velocity gradients in PIV interrogation[J]. Experiments in Fluids, 2008, 44(5):831-842. [17] DEL ÁLAMO J C, JIMÉNEZ J, ZANDONADE P, et al. Self-similar vortex clusters in the turbulent logarithmic region[J]. Journal of Fluid Mechanics, 2006, 561:329-358. [18] GHOSH S, FOYSI H, FRIEDRICH R. Compressible turbulent channel and pipe flow:Similarities and differences[J]. Journal of Fluid Mechanics, 2010, 648:155-181. [19] HULTMARK M, BAILEY S C C, SMITS A J. Scaling of near-wall turbulence in pipe flow[J]. Journal of Fluid Mechanics, 2010, 649:103-113. [20] ADRIAN R J, WESTERWEEL J. Particle image velocimetry[M]. New York:Cambridge University Press, 2011.