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研究生: 張佑詳
Chang, Yu-Hsiang
論文名稱: 以粒子影像測速儀對風洞內紊流進行量測以及頻譜分析
Measurement and spectrum analysis of turbulent flow in wind tunnel with particle image velocimetry
指導教授: 吳毓庭
Wu, Yu-Ting
學位類別: 碩士
Master
系所名稱: 工學院 - 工程科學系
Department of Engineering Science
論文出版年: 2022
畢業學年度: 110
語文別: 中文
論文頁數: 61
中文關鍵詞: 粒子成像測速儀風洞實驗能量頻譜紊流量測
外文關鍵詞: Particle Image Velocimetry, wind tunnel experiment, measurement of turblence, energy spectrum
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  • 本研究以自由入流的情況下,固定風速在1 m∙s^(-1)進行PIV實驗量測,改變不同的實驗參數,分別為在風洞的漸縮管前加裝木條、漸縮管前放置數支運轉的風扇、改變地面高度讓地面更靠近雷射光頁。主要在不同的影像解析度下進行分析,計算出各別的能量頻譜並進行探討,可以在能量頻譜中得出一斜率接近(-5)/3之斜直線,此斜率下之範圍稱作慣性子範圍(inertial subrange)。本研究之能量頻譜大致上有符合斜率為(-5)/3之趨勢,與Kolmogorov之理論相符,因此在本研究中得到驗證。
    由本研究之結果可以發現,紊流擾動具有跨尺度的擾動特性,而在不同解析度下之能量頻譜,解析度越高越可以反映出頻率更高、波長更短、尺度更小的渦流,也可以發現,在低解度之結果相較高解度無法符合Kolmogorov所預測之理論斜率為(-5)/3。此外,從本研究中可以發現,在波長(λ) (單位:m)大於約為5×〖10〗^(-2) (m)的斜率大致接近Kolmogorov的斜率(-5)/3之趨勢,然而,波長小於約為5×〖10〗^(-2) (m)的直線斜率開始變陡,尤其在越高解析度越可以明顯觀察得到,因此,依本研究室之現有設備,量測紊流尺度的精準度大約至小為5×〖10〗^(-2) (m)。

    In this study, in the case of free inflow, the PIV experimental measurement was carried out at a fixed wind speed of 1 m∙s^(-1) and different experimental parameters were changed. They are adding the wood in the contraction of wind tunnel , putting the fans in front of the contraction of wind tunnel, and changing the height of the ground to bring the ground closer to the laser sheet. These experimental results are mainly analyzed under different image resolutions and respectively calculate the velocity, turblence intensity, and energy specteum of the free inflow in the wind tunnel experiment. In the end, we can obtain an oblique line with a slope close to-5/3 in the energy spectrum, and the range under this slope is called Inertia subrange. The energy spectrum of this study generally following the slope of -5/3, which is consistent with Kolmogorov’s theory, so it’s verified in this study. Futhermore, it can be found from this study that at wavelength(λ)(unit:m) greater than about 5×〖10〗^(-2) (m) , the slope is roughly close to Kolmogorov’s slope of -5/3 trend, however, the slope of the oblique line with wavelenghs less than about5×〖10〗^(-2) (m)begins to become steeper, espeially at higher resolutions, the more obvious it can be observed. Therefore, according to the current equipment in this laboratory, the accuracy of measuring the turblence scale is about 5×〖10〗^(-2) (m).

    摘要 I 目錄 II 圖目錄 IV 符號表 VII 第一章 緒論 1 1-1前言 1 1-2研究動機及目的 2 1-3文獻回顧 4 1-3-1 侵入式量測 4 1-3-2 非侵入式量測 7 1-4本文結構 13 第二章 實驗設備 14 2-1 風洞構造 14 2-1-1入口收縮段 14 2-1-2試驗段 14 2-1-3動力系統 14 2-2 粒子產生器 17 2-3高速相機 19 2-4雙脈衝雷射以及光學透鏡 20 2-5訊號同步器 21 2-6 影像分析軟體 (PIVview) 21 第三章 研究方法 22 3-1 PIV之基本運作 22 3-2 實驗流程 22 3-2-1 雷射光路架設 22 3-2-2 高速相機架設 24 3-2-3尺規校正 25 3-2-4 設置粒子產生器 26 3-2-5 設定訊號產生器 27 3-3 PIV分析 28 3-3-1 詢問視窗 (Interrogation Window) 28 3-3-2 移動視窗 (Moving Window) 30 3-3-3 互相關分析 (Cross-correlation) 30 第四章 結果與討論 32 4-1 不同解析度下的入流頻譜分析 32 4-2 風洞收縮段內加裝木條之入流分析 41 4-3 風洞收縮段前放置多支運轉的風扇之入流分析 44 4-4 改變地面高度之結果 49 第五章 結論 54 第六章 未來展望 55

    [1] Kolmogorov, A. N. (1941), The local structure of turbulence in incompressible
    viscous fluid for very large Reynolds number, Dokl. Akad. Nauk
    SSSR, 30, 299– 303, (English translation, Proc. R. Soc. London, Ser. A,
    434, 9 –13, 1991.)
    [2] L. Kristensen, "Cup anemometer behavior in turbulent environments," Journal of
    Atmospheric and Oceanic Technology, vol. 15, no. 1, pp. 5-17, 1998.
    [3] G. P. Russo, "3 - Hot wire anemometer," in Aerodynamic Measurements, G. P.
    Russo Ed.: Woodhead Publishing, 2011, pp. 67-98.
    [4] H. H. Bruun, "Hot-Wire Anemometry: Principles and Signal Analysis,"
    Measurement Science and Technology, vol. 7, no. 10, 1996/10/01 1996
    [5] R. Klopfenstein Jr, "Air velocity and flow measurement using a Pitot tube," ISA
    transactions, vol. 37, no. 4, pp. 257-263, 1998.
    [6] R. P. Bauman and R. Schwaneberg, "Interpretation of Bernoulli’s equation," The Physics Teacher, vol. 32, no. 8, pp. 478-488, 1994.
    [7] J. Chen, B. S. Haynes, and D. F. Fletcher, "Cobra probe measurements of mean
    velocities, Reynolds stresses and higher-order velocity correlations in pipe
    flow," Experimental Thermal and Fluid Science, vol. 21, no. 4, pp. 206-217,
    2000/05/01/ 2000.
    [8] H. P. Hodson and W. N. Dawes, "On the Interpretation of Measured Profile
    Losses in Unsteady Wake–Turbine Blade Interaction Studies," Journal of
    Turbomachinery, vol. 120, no. 2, pp. 276-284, 1998
    [9] W.-C. Wang, W. T. Chong, and T.-H. Chao, "Performance analysis of a cross
    axis wind turbine from wind tunnel experiments," Journal of Wind Engineering
    and Industrial Aerodynamics, vol. 174, pp. 312-329, 2018.
    [10] B. Chu, Laser light scattering: basic principles and practice. Courier Corporation, 2007.
    [11] J. D. Hooper and A. R. Musgrove, "Reynolds stress, mean velocity, and dynamic static pressure measurement by a four-hole pressure probe," Experimental Thermal and Fluid Science, vol. 15, no. 4, pp. 375-383, 1997/11/01/ 1997.
    [12] Kunkel, G.J., Marusic, I. An approximate amplitude attenuation correction for
    hot-film shear stress sensors. Experiments in Fluids 34, 285–290 (2003).
    [13] Makita Hideharu, Realization of a large-scale turbulence field in a small wind
    tunnel, Fluid Dynamics Research, Volume 8, Issues 1–4,1991
    [14] Buchhave, Preben, William K. George, and John L. Lumley. "The measurement of turbulence with the laser-Doppler anemometer." (1979)
    [15] A. Goharzadeh and A. Molki, "Measurement of fluid velocity development behind a circular cylinder using particle image velocimetry (PIV)," European Journal of Physics, vol. 36, no. 1, p. 015001, 2014.
    [16] B. Chu, Laser light scattering: basic principles and practice. Courier Corporation, 2007.
    [17] A. Melling, "Tracer particles and seeding for particle image velocimetry,"
    Measurement Science and Technology, vol. 8, no. 12, pp. 1406-1416,
    1997/12/01
    [18] J. Westerweel, "Fundamentals of digital particle image velocimetry,"
    Measurement Science and Technology, vol. 8, no. 12, pp. 1379-1392,
    1997/12/011997.
    [19] J. M. I. Munoz, D. Dellavale, M. O. Sonnaillon, and F. J. Bonetto, "Real-time particle image velocimetry based on FPGA technology," in 2009 5th Southern Conference on Programmable Logic (SPL), 1-3 April 2009 2009, pp. 147-152, doi: 10.1109/SPL.2009.4914899.
    [20] A. Goharzadeh and A. Molki, "Measurement of fluid velocity development behind a circular cylinder using particle image velocimetry (PIV)," European Journal of Physics, vol. 36, no. 1, p. 015001, 2014.
    [21] J. C. Schatzman, "A model for the von Kármán vortex street," California Institute of Technology, 1981.
    [22] J. Westerweel, G. E. Elsinga, and R. J. Adrian, "Particle image velocimetry for complex and turbulent flows," Annual Review of Fluid Mechanics, vol. 45, pp. 409-436, 2013.
    [23] S. Scharnowski, M. Bross, and C. J. Kähler, "Accurate turbulence level estimations using PIV/PTV," Experiments in Fluids, vol. 60, no. 1, pp. 1-12, 2019.
    [24] M. Talavera and F. Shu, "Experimental study of turbulence intensity influence on wind turbine performance and wake recovery in a low-speed wind tunnel," Renewable Energy, vol. 109, pp. 363-371, 2017/08/01/ 2017.
    [25] Adrian, R.J., Yao, C.S. Power spectra of fluid velocities measured by laser
    Doppler velocimetry. Experiments in Fluids 5, 17–28 (1986).
    [26] L.H Benedict, H. Nobach, C. Tropea, Estimation of turbulent velocity spectra
    From laser Doppler data
    [27] Duo XuJun , Chen, Accurate estimate of turbulent dissipation rate using PIV data, School of Mechanical Engineering, Purdue University, West Lafayette, USA(2013)
    [28] Lavoie, P., Avallone, G., De Gregorio, F. et al. Spatial resolution of PIV for the measurement of turbulence. Exp Fluids 43, 39–51 (2007).

    [29] J M Foucaut et al 2004 PIV optimization for the study of turbulent flow using spectral analysisMeas. Sci. Technol. 15 1046
    [30] Willert C E and Gharib M 1991 Digital particle image velocimetry Exp. Fluids 10 181–93
    [31] Malvern Panalytical. "Spraytec." Spectris. https://www.malvernpanalytical.com/en/products/product-range/spraytec (accessed 07/21, 2021).
    [32] M. Raffel, C. E. Willert, F. Scarano, C. J. Kähler, S. T. Wereley, and J. Kompenhans, Particle image velocimetry: a practical guide. Springer, 2018.
    [33] R. D. Keane and R. J. Adrian, "Optimization of particle image velocimeters. I. Double pulsed systems," Measurement Science and Technology, vol. 1, no. 11, p. 1202, 1990.
    [34] R. D. Keane and R. J. Adrian, "Theory of cross-correlation analysis of PIV images," Applied Scientific Research, vol. 49, no. 3, pp. 191-215, 1992/07/01 1992.
    [35] G I Roth and J Katz, Five techniques for increasing the speed and accuracy of PIV interrogation, 2001 Meas. Sci. Technol. 12 238
    [36] R. N. Bracewell and R. N. Bracewell, The Fourier transform and its applications. McGraw-Hill New York, 1986.
    [37] Katul, G., Chu, CR. A Theoretical and Experimental Investigation of Energy-Containing Scales in the Dynamic Sublayer of Boundary-Layer Flows. Boundary-Layer Meteorology 86, 279–312 (1998).
    [38] Steven J Beresh et al 2018 Meas. Sci. Technol. 29 034011
    'Postage-stamp PIV': small velocity fields at 400 kHz for turbulence spectra measurements
    [39] Wang, W.C., Wang, J.J. and Chong, W.T., 2019. The effects of unsteady wind on the performances of a newly developed cross-axis wind turbine: A wind tunnel study. Renewable Energy, 131, pp.644-659.
    [40] Ali Pakari, Saud Ghani,Airflow assessment in a naturally ventilated greenhouse equipped with wind towers: numerical simulation and wind tunnel experiments,Energy and Buildings,Volume 199,2019,Pages 1-11,
    [41] Zhenyu Wang, Ahmet Ozbay, Wei Tian, Hui Hu,An experimental study on the aerodynamic performances and wake characteristics of an innovative dual-rotor wind turbine,Energy,Volume 147,2018,Pages 94-109,
    [42] Y.-S. YU, "A wind-tunnel investigation on turbulent inflow and miniature wind turbine wake using different velocimetry methods," National Cheng Kung University Department of Engineering Science, 2021.
    [43] C.-F. Hsu, "A Study on the Particle Size Distribution from Self-made Laskin Nozzles," National Cheng Kung University Department of Engineering Science, 2021.

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