| 研究生: |
蕭至中 Hsiao, Chih-Chung |
|---|---|
| 論文名稱: |
縱向圓柱間週期性流場之影像質點量測 Particle Image Velocimetry of Periodic Flow Induced by Two Aligned Cylinders |
| 指導教授: |
賴泉基
Lai, Chan-Ji 呂珍謀 Leu, Jan-Mou |
| 學位類別: |
碩士 Master |
| 系所名稱: |
工學院 - 水利及海洋工程學系 Department of Hydraulic & Ocean Engineering |
| 論文出版年: | 2005 |
| 畢業學年度: | 93 |
| 語文別: | 中文 |
| 論文頁數: | 49 |
| 中文關鍵詞: | 週期 、質點影像量測法 |
| 外文關鍵詞: | PIV, period |
| 相關次數: | 點閱:59 下載:1 |
| 分享至: |
| 查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
流體經過縱列雙圓柱產生週期性擺盪與柱間互制之馮卡門渦列(Von Kármán vortex street),渦列週期以單點時序列速度做頻譜分析求得時,常無法獲得空間分佈特性,而以質點影像量測法(Particle Image Velocimetry , PIV),雖具有不干擾流場及全域同步量測之優點,然會面臨如粒子(particle)分布不均造成的流場偏差、週期的獲得方式、平均流場的時間選取…等困難。本文即針對質點影像量測法分析週期性流場上會遇到的問題,提出解決之方法與建議。
經由特性雷諾數2400、圓心距5D(D 為圓柱直徑)之縱列雙圓柱之影像分析,發現若以空間取樣範圍G×B內,各子區域X軸之速度u做頻譜分析,將各子區域所得週期取整體平均(ensemble average)作為代表週期時,以代表週期為基準發展的週期平均法,可降低瞬時流場粒子分布不均的影響;且前柱升力係數(Lift coefficient, Cl)之變化週期與洪(2005)以三維紊流計算所得之相當,後者週期稍小5.39%。
本文所建立之週期性質點影像法所求得之週期,不管與前人研究或數值模式比較都相當,可供往後研究者參考。在分析流場特性發現,提升流場準確度之關鍵在於互
相關函數訊雜比之設定,建議當瞬時流場空洞數目大於某一臨界值則視為錯誤流場,將此流場淘汰不用,再以篩選過之瞬時流場進行週期平均將可大幅提升平均流場的正確性。
Periodic flow such as the Von Kármán vortex street can form and interact within influence region of two aligned cylinders. Though particle image velocimetry(PIV) can obtain the spatial information that any one-point measuring method can not provide,some problems of using PIV for periodic flow remain to be solved. The study concerns about how to find the time interval for velocity averaging of the periodic flow and how to reduce the erroneous flow filed caused by non-uniform seeding.Main parameters of this study are the longitudinal velocity u, the diameter of the cylinder,D,and the image area formed by the gap of the cylinders and the channel width, G×B.
It is found that the representative period for the tests with Re of 2400 is closely related to the frequency of locking for the aligned cylinders.This representative period is the average of the frequencies obtained from the spectral analysis to u velocities of all interrogation areas.The period is comparable with the value computed from 3-D model,and for the cylinder distance of 5D case, the difference is 5.39% less.The present PIV method is shown to be capable of obtaining both of the velocity distributions of phase and ensemble values for the Re of 2400 cases.
However,the analyzing method can not give good results for other cases of different Reynolds numbers.Insufficient image resolution may be the causation of this deficiency. Further studies to resolve this problem are still required.
1. Adrian, R. J., “Particle-imaging technique for experimental fluid mechanics,” Ann. Rev. Fluid Mech. 23, p.261-304, (1991).
2. Akhtaruzzaman, Sarker Md., “Flow measurement around scoured bridge piers using Acoustic-Doppler Velocimeter(ADV),” Flow Measurement and Instrumentation 9, p.217-227, (1998).
3. Jeon, D. and ,M.Gharib, “On the relationship between the vortex formation process and cylinder wake vortex patterns,” J. Fluid Mech., vol. 519, p.161–181, (2004).
4. Fujita, I., M. Muste and A. Kruger, “Large-scale particle image velocimetry for flow analysis in hydraulic engineering applications,” Journal of Hydraulic Research 36, p.397-414 , (1998).
5. Gonzalez, R. C. and R. E. Woods, “Digital image processing 2nd edition,” Prentice Hall(2002)
6. Hall, J. W., S. Ziada and D. S. Weaver, “Vortex-shedding from single and tandem cylinders in the presence of applied sound,” Journal of Fluids and Structures 18, p.741-758, (2003).
7. Kurada, S., G. W. Rankin and K. Srihal, “A new particle image velocimetry technique for three-dimensional flows,” Optics and Laser in Engineering 28, p.347-376, (1997).
8. Roshko, A., “On the drag and shedding frequency of two-dimensional bluff bodies,”NACA Tech.Note 3169, (1954).
9. Sumner, D., S. J. Price and M. P. Paigdoussis, “Tandem cylinders in impulsively
started flow,” Journal of Fluids and Structures, vol.13, p.955-965, (1999).
10. Willert, C. E. and M. Gharib, “Digital particle image velocimetry,” Exp. Fluids 10,p.181-193 , (1991).
11. Williamson, C. H. K., “Vortex dynamics in the cylinder wake,” Ann. Rev. Fluid Mech.28,p.477-539, (1996)
12. Zdravkovich, M. M., “The effects of interference between circular cylinders in cross flow,” Journal of Fluids and Structures 1, p.239-261, (1987).
13. 李明靜,「河川表面流速與流量非接觸式量測方法之發展與應用」,博士論文,國立成功大學水利及海洋工程研究所, (2002)。
14. 柯雅卿,「通用型影像量測系統應用研究」,碩士論文,國立成功大學水利及海洋工程研究所, (2004)。
15. 洪梓蔚,「縱排雙圓柱三維流場數值模擬」,碩士論文,國立成功大學水利及海洋工程研究所, (2005)。
16. 徐華勇,「應用PIV 探討圓柱及平板尾流流場之速度分佈特性」,碩士論文,國立中興大學土木工程研究所, (2002)。
17. 張智星,「MATLAB 程式設計與應用」,清蔚科技出版社(2000)。
18. 黎文明,「快速傅立葉變換」,復漢出版社(1985)。