Study on MHz high-speed PIV technique
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摘要: 跨声速流动因为其复杂的非定常流动特性,一直是实验研究中的一大难题。为了能较好地解析亚跨超声速流动中的小时间尺度流动,本文研究了MHz频率的粒子图像测速技术(Particle Image Velocimetry, PIV)。在实验测量的跨声速射流场中,利用5台高速相机对同一测量区域进行交替快速拍摄,得到超高时间分辨率的粒子图像数据。通过图像处理技术完成了图像的光学畸变修正和公共区域识别。应用Ensemble Correlation互相关算法,基于速度场结果,完成了可压缩湍流场的能谱解析。实验证明了MHz–PIV的高频采样能力,极大地减小了高频采样技术对相机性能的依赖性,为跨声速实验提供了一种具有高时空分辨率的精细测量技术。Abstract: Transonic flows have presented an enduring challenge to experimental research due to their intricate and unsteady flow characteristics. This study investigated the megahertz-frequency Particle Image Velocimetry(MHz–PIV)technique to enhance the resolution of small time-scale flows under the transonic flow conditions. During the measurement, five high-speed cameras alternately and quickly captured images of the same measurement area, and thus obtained ultra-high time resolution particle image data. By employing image processing techniques optical distortion correction and identification of the common area were achieved. The application of the ensemble correlation algorithm, coupled with spectral analysis of the compressible turbulent flow field based on the velocity field, contributed to a comprehensive analysis. The experiment validated the high-frequency sampling capability of MHz–PIV, which significantly reduces the technology’s dependence on camera performance. This approach offers a refined measurement technique with high spatiotemporal resolution for transonic experiments.
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表 1 原图与畸变矫正后图像的畸变程度对比
Table 1. Comparison of distortion degree between original image and corrected image
图片编号 原图/像素 矫正图像/像素 矫正量/% ① 1.4910 0.2349 84.25 ② 1.6778 0.2204 86.86 ③ 2.4933 0.2448 90.18 ④ 0.7828 0.1360 82.63 ⑤ 0.3247 0.0545 83.21 -
[1] ASHOK A, BAILEY S C C, HULTMARK M, et al. Hot-wire spatial resolution effects in measurements of grid-generated turbulence[J]. Experiments in Fluids, 2012, 53(6): 1713–1722. doi: 10.1007/s00348-012-1382-5 [2] HUTCHINS N, MONTY J P, HULTMARK M, et al. A direct measure of the frequency response of hot-wire anemometers: temporal resolution issues in wall-bounded turbulence[J]. Experiments in Fluids, 2015, 56(1): 1–18. doi: 10.1007/s00348-014-1856-8 [3] BENEDICT L H, NOBACH H, TROPEA C. Estimation of turbulent velocity spectra from laser Doppler data[J]. Measurement Science and Technology, 2000, 11(8): 1089–1104. doi: 10.1088/0957-0233/11/8/301 [4] BROERSEN P M T. Practical aspects of the spectral analysis of irregularly sampled data with time-series models[J]. IEEE Transactions on Instrumentation and Measurement, 2009, 58(5): 1380–1388. doi: 10.1109/TIM.2008.2009201 [5] POPE S B. Turbulent flows[J]. Measurement Science and Technology, 2001, 12(11): 2020–2021. doi: 10.1088/0957-0233/12/11/705 [6] WERNET M P. Temporally resolved PIV for space–time correlations in both cold and hot jet flows[J]. Measurement Science and Technology, 2007, 18(5): 1387–1403. doi: 10.1088/0957-0233/18/5/027 [7] MURPHY M J, ADRIAN R J. PIV space-time resolution of flow behind blast waves[J]. Experiments in Fluids, 2010, 49(1): 193–202. doi: 10.1007/s00348-010-0843-y [8] THUROW B, JIANG N B, LEMPERT W. Review of ultra-high repetition rate laser diagnostics for fluid dynamic measurements[J]. Measurement Science and Technology, 2013, 24(1): 012002. doi: 10.1088/0957-0233/24/1/012002 [9] MILLER J D, MICHAEL J B, SLIPCHENKO M N, et al. Simultaneous high-speed planar imaging of mixture fraction and velocity using a burst-mode laser[J]. Applied Physics B, 2013, 113(1): 93–97. doi: 10.1007/s00340-013-5665-1 [10] MILLER J D, JIANG N B, SLIPCHENKO M N, et al. Spatiotemporal analysis of turbulent jets enabled by 100-kHz, 100-ms burst-mode particle image velocimetry[J]. Experiments in Fluids, 2016, 57(12): 1–17. doi: 10.1007/s00348-016-2279-5 [11] WAGNER J L, BERESH S J, DEMAURO E P, et al. Pulse-burst PIV measurements of transient phenomena in a shock tube[C]//Proceedings of the 54th AIAA Aerospace Sciences Meeting. 2016. . [12] DEMAURO E P, WAGNER J L, BERESH S J, et al. Unsteady drag following shock wave impingement on a dense particle curtain measured using pulse-burst PIV[J]. Physical Review Fluids, 2017, 2(6): 064301. doi: 10.1103/physrevfluids.2.064301 [13] BERESH S J, WAGNER J L, CASPER K M, et al. Spatial distribution of resonance in the velocity field for transonic flow over a rectangular cavity[J]. AIAA Journal, 2017, 55(12): 4203–4218. doi: 10.2514/1.j056106 [14] WAGNER J L, BERESH S J, CASPER K M, et al. Relationship between transonic cavity tones and flowfield dynamics using pulse-burst PIV[C]//Proceedings of the 54th AIAA Aerospace Sciences Meeting. 2016. . [15] VANSTONE L, SALEEM M, SECKIN S, et al. Role of boundary-layer on unsteadiness on a Mach 2 swept-ramp shock/boundary-layer interaction using 50 kHz PIV[C]//Proceedings of the 55th AIAA Aerospace Sciences Meeting. 2017. . [16] BERESH S J, HENFLING J, SPILLERS R. Pulse-burst PIV of the supersonic wake of a wall-mounted hemisphere[C]//Proc of the Proceedings of the 47th AIAA Fluid Dynamics Conference. 2017. . [17] BROCK B, HAYNES R H, THUROW B S, et al. An examination of MHz rate PIV in a heated supersonic jet[C]//Proceedings of the 52nd Aerospace Sciences Meeting. 2014. . [18] BERESH S, KEARNEY S, WAGNER J, et al. Pulse-burst PIV in a high-speed wind tunnel[J]. Measurement Science and Technology, 2015, 26(9): 095305. doi: 10.1088/0957-0233/26/9/095305 [19] BERESH S J, HENFLING J F, SPILLERS R W, et al. ‘Postage-stamp PIV’: small velocity fields at 400 kHz for turbulence spectra measurements[J]. Measurement Science and Technology, 2018, 29(3): 034011. doi: 10.1088/1361-6501/aa9f79 [20] BERESH S J, SPILLERS R, SOEHNEL M, et al. Extending the frequency limits of “postage-stamp PIV” to MHz rates[C]//Proceedings of the AIAA Scitech 2020 Forum. 2020. . [21] 陆小革, 易仕和, 牛海波, 等. 不同入射激波条件下激波与湍流边界层干扰的实验研究[J]. 中国科学: 物理学 力学 天文学, 2020, 50(10): 61-72.LU X G, YI S H, NIU H B, et al. Experimental study on shock and turbulent boundary layer interactions under different incident shock waves[J]. Scientia Sinica (Physica, Mechanica & Astronomica), 2020, 50(10): 61-72. doi: 10.1360/SSPMA-2020-0055 [22] ZHU Y D, YUAN H J, LEE C B. Ultrafast tomographic particle image velocimetry investigation on hypersonic boundary layers[J]. Physics of Fluids, 2020, 32(9): 094103. doi: 10.1063/5.0014168 [23] HAN J H, HE L, WU Z B. Experimental investigation on evolution characteristics of high- and low-speed streaks in supersonic turbulent boundary layer[J]. AIP Advances, 2022, 12(11): 115204. doi: 10.1063/5.0121259 [24] 冈敦殿, 易仕和, 米琦, 等. 超声速混合层MHz级超高频流动可视化实验[J]. 气体物理, 2022, 7(6): 33–41. doi: 10.19527/j.cnki.2096-1642.0989GANG D D, YI S H, MI Q, et al. Experiment on flow visualization of supersonic mixing layer at MHz-level superhigh frequency[J]. Physics of Gases, 2022, 7(6): 33–41. doi: 10.19527/j.cnki.2096-1642.0989 [25] WILLERT C E, GHARIB M. Digital particle image velocimetry[J]. Experiments in Fluids, 1991, 10(4): 181–193. doi: 10.1007/BF00190388 [26] PEDERSEN M, BENGTSON S H, GADE R, et al. Camera calibration for underwater 3D reconstruction based on ray tracing using Snell's law[C]//Proc of the 2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops (CVPRW). 2018: 1491-14917. . [27] BERESH S J. Denoising 400-kHz “postage-stamp PIV” using uncertainty quantification[C]//Proceedings of the 2018 AIAA Aerospace Sciences Meeting. 2018. . [28] GAMBA M, CLEMENS N. Requirements, capabilities and accuracy of time-resolved PIV in turbulent reacting flows[C]//Proceedings of the 49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition. 2011. . [29] OXLADE A R, VALENTE P C, GANAPATHISUB-RAMANI B, et al. Denoising of time-resolved PIV for accurate measurement of turbulence spectra and reduced error in derivatives[J]. Experiments in Fluids, 2012, 53(5): 1561–1575. doi: 10.1007/s00348-012-1375-4 [30] VÉTEL J, GARON A, PELLETIER D. Denoising methods for time-resolved PIV measurements[J]. Experiments in Fluids, 2011, 51(4): 893–916. doi: 10.1007/s00348-011-1096-0 [31] WIENEKE B. PIV anisotropic denoising using uncertainty quantification[J]. Experiments in Fluids, 2017, 58(8): 1–10. doi: 10.1007/s00348-017-2376-0 [32] MEINHART C D, WERELEY S T, SANTIAGO J G. A PIV algorithm for estimating time-averaged velocity fields[J]. Journal of Fluids Engineering, 2000, 122(2): 285–289. doi: 10.1115/1.483256 [33] DELNOIJ E, WESTERWEEL J, DEEN N G, et al. Ensemble correlation PIV applied to bubble plumes rising in a bubble column[J]. Chemical Engineering Science, 1999, 54(21): 5159–5171. doi: 10.1016/S0009-2509(99)00233-X [34] OZAWA Y, IBUKI T, NONOMURA T, et al. Single-pixel resolution velocity/convection velocity field of a supersonic jet measured by particle/schlieren image velocimetry[J]. Experiments in Fluids, 2020, 61(6): 1–18. doi: 10.1007/s00348-020-02963-1 [35] WESTERWEEL J, GEELHOED P F, LINDKEN R. Single-pixel resolution ensemble correlation for micro-PIV applications[J]. Experiments in Fluids, 2004, 37(3): 375–384. doi: 10.1007/s00348-004-0826-y [36] TCHEN C M. On the spectrum of energy in turbulent shear flow[J]. Journal of Research of the National Bureau of Standards, 1953, 50(1): 51–62. doi: 10.6028/jres.050.009 [37] BULL M K. Wall-pressure fluctuations beneath turbulent boundary layers: some reflections on forty years of research[J]. Journal of Sound and Vibration, 1996, 190(3): 299–315. doi: 10.1006/jsvi.1996.0066 [38] BERESH S J, HENFLING J, SPILLERS R. “postage-stamp PIV: ” small velocity fields at 400 kHz for turbulence spectra measurements[C]//Proceedings of the 55th AIAA Aerospace Sciences Meeting. 2017. .