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研究生: 許家哲
Hsu, Chia-Che
論文名稱: 探討不同縫寬開縫圓柱尾流受紊流強度之影響
Free-stream Turbulence Effects on Vortex Shedding behind Different Widths of Slit Circular Cylinder
指導教授: 苗君易
Miau, Jiun-Jih
學位類別: 碩士
Master
系所名稱: 工學院 - 航空太空工程學系
Department of Aeronautics & Astronautics
論文出版年: 2011
畢業學年度: 99
語文別: 中文
論文頁數: 122
中文關鍵詞: 開縫圓柱自由紊流擾動線性誤差信號品質
外文關鍵詞: Circular cylinder with a slit, Free-stream turbulence, Error of linearity, Signal quality
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  • 本研究以探討不同縫寬之開縫圓柱在均勻流下之渦流溢放現象,並且進一步探討自由紊流擾動對其之影響。實驗分成兩部分,第一部分是在水槽中利用質點影像測速儀(PIV)以非侵入方式觀測在不同縫寬下開縫圓柱流場之變化,並探討在何種縫寬下其穩定性最高。第二部分則是在風洞中利用熱線(Hot-wire)測速儀量測紊流強度對開縫圓柱之影響,利用在開縫圓柱模型上游處架設網格,改變自由流之紊流擾動結構,討論其中渦流溢放頻率之非定常之行為。
    PIV實驗結果發現,雷諾數介於2.8×10^3至1.3×10^4時,縫寬越寬渦流溢放頻率相對提高。在雷諾數為5.5×10^3時,發現開縫圓柱縫寬之大小對渦形成長度影響不大,開縫圓柱渦形成長度大約0.9d。利用相位平均方法,得到開縫圓柱在各個周期特定時間之渦流溢放平均流線圖,從流線圖中可以發現到開縫圓柱尾流的渦流溢放過程和圓柱有些許的差異。
    風洞實驗結果發現,在均勻流場中,雷諾數介於1.5×10^4至8.5×10^4,透過渦流溢放信號品質分析與線性誤差分析結果發現,s/d=0.1開縫圓柱穩定性最佳。在紊流場中,雷諾數介於1.5×10^4至4.0×10^4時,圓柱與開縫圓柱之St值均會受到紊流強度影響,紊流強度越高St值也越高,在不同紊流強度下,透過渦流溢放信號品質分析與線性誤差分析結果發現,仍是s/d=0.1開縫圓柱穩定性最佳。

    Experiments were carried out in a low-speed wind tunnel and a water channel with emphasis on the impact of the slit width on the quality of the vortex shedding signal measured. For the experiments made in water channel, the techniques of Particle Image Velocimetry(PIV) was employed. For the experiments made in wind tunnel, the techniques of constant temperature hot-wire anemometer was employed. In addition, square-meshed grids were used to produce turbulent-flow field in the wind tunnel.
    The water channel experiments were carried out at Reynolds numbers in a range of 2.8×10^3-1.3×10^4 for the cylinders of s/d=0.1,0.15,0.2 and 0.25. It was found that the vortex shedding frequency measured is increased with the slit width. At the Reynolds number 5.5×10^3, the vortex formation region of a slit circular cylinder is found to be about x/d=0.9. Moreover, by a phase-averaging method the wake flow pattern of a slit circular cylinder was obtained and compared with that of a circular cylinder.
    The wind tunnel experiments were carried out at Reynolds numbers in a range of 1.5×10^4-8.5×10^4. For smooth flow, the vortex shedding signals quality of the slit circular cylinder of s/d=0.1 was found to be the best. And, relation of the Strouhal number against the Reynolds number was also found to be the most linear.
    Further efforts were made to examine the effect of free-stream turbulence at high intensity on flow past a slit circular cylinder. The Reynolds number was varied from 1.5×10^4-4.0×10^4. In the turbulent flow, Strouhal number is increased as gets higher turbulence intensity. By examining the data obtained with the circular and slit circular cylinders under the flow conditions of different turbulence intensities, the quality of the vortex shedding signals of s/d=0.1 was found to be the best. Meanwhile the Strouhal number against the Reynolds number was found to be the most linear.

    摘 要 I Abstract III 誌 謝 V 目 錄 VI 表 目 錄 XII 圖 目 錄 XIII 符號說明 XX 第一章 緒論 1 1.1前言 1 1.2文獻回顧 1 1.2.1質點影像測速儀 1 1.2.2鈍形體渦流溢放 3 1.2.2.1單一鈍形體 3 1.2.2.2兩串列鈍形體 5 1.2.2.3渦形成長度 6 1.2.2.4展弦比與阻塞比對鈍形體渦流溢放之影響 7 1.2.3渦流流量計 8 1.2.4自由流紊流擾動 12 1.3研究動機與目的 15 第二章 實驗設備 16 2.1水槽實驗設備 16 2.1.1水槽設備 16 2.1.2PIV量測原理與系統架設 16 2.1.2.1PIV技術原理與方法 16 2.1.2.2PIV量測系統架設 16 2.1.3實驗模型 18 2.1.4實驗模型架設 18 2.2風洞實驗設備 19 2.2.1風洞設備 19 2.2.2感測儀器與系統擷取系統 19 2.2.2.1皮托管與壓力轉換器 19 2.2.2.2熱線測速儀 19 2.2.2.3資料擷取系統 20 2.2.2.4三維移動機構 21 2.2.3實驗模型 21 2.2.4實驗模型架設 21 2.2.5網格 21 2.3座標定義 21 第三章 實驗步驟與分析方法 22 3.1實驗步驟 22 3.2無因次參數分析 22 3.2.1雷諾數 22 3.2.2無因次頻率 22 3.3圓柱尾流分析 23 3.3.1渦流溢放信號品質分析 24 3.3.1.1快速傅立葉轉換 24 3.3.1.2無因次頻率線性分析 24 3.3.1.3信號雜訊比 25 3.3.2渦形成長度 26 3.4均勻度分析 26 3.5紊流擾動分析 27 3.5.1紊流強度 27 3.5.2紊流積分尺度 28 第四章 實驗結果與討論 30 4.1水槽PIV實驗結果 30 4.1.1圓柱尾流流場分析 31 4.1.1.1圓柱尾流流場可視化 31 4.1.1.2圓柱尾流數據化分析 31 4.1.1.3圓柱尾流渦形成長度 32 4.1.2開縫圓柱尾流場分析 33 4.1.2.1開縫圓柱尾流流場可視化 33 4.1.2.2開縫圓柱尾流數據化分析 35 4.1.3無因次頻率線性分析 36 4.1.4信號雜訊比 36 4.2風洞均勻流場之實驗結果 36 4.2.1圓柱尾流流場分析 37 4.2.1.1無因次頻率 38 4.2.1.2圓柱渦形成長度 38 4.2.2開縫圓柱尾流流場分析 39 4.2.2.1無因次頻率 39 4.2.1.2開縫圓柱渦形成長度 40 4.2.3無因次頻率線性分析 41 4.2.4信號雜訊比 41 4.3綜整水槽與風洞實驗結果 42 4.3.1無因次頻率 42 4.3.2渦形成長度 42 4.3.2無因次頻率線性分析 43 4.3.3信號雜訊比 43 4.4紊流場之實驗結果 44 4.4.1自由流紊流擾動 45 4.4.2圓柱尾流流場分析 45 4.4.2.1無因次頻率 45 4.4.2.2圓柱渦形成長度 46 4.4.3開縫圓柱尾流流場分析 47 4.4.3.1無因次頻率 47 4.4.3.2開縫圓柱渦形成長度 47 4.4.4無因次頻率線性分析 48 4.4.5信號雜訊比 49 4.5綜整均勻流場與紊流場實驗結果 49 4.5.1無因次頻率受不同紊流強度之影響 49 4.5.2渦流溢放信號受紊流強度之影響 50 第五章 結論與建議 52 5.1結論 52 5.2建議 53 參考文獻 54

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