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研究生: 陳孟巧
Chen, Meng-Chiao
論文名稱: 探討圓柱在臨界區之流場轉換現象
Investigations of Transition Phenomenon of the Flow around a Circular Cylinder in the Critical Regime
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: 86
中文關鍵詞: 圓柱流場臨界區分離泡希爾伯特-黃轉換熱絲感測組
外文關鍵詞: circular cylinder, critical regime, separation bubble, Hilbert-Huang transformation, MEMS thermal tuft sensor
相關次數: 點閱:101下載:3
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  • 本研究以實驗方式來探討圓柱表面流場於雷諾數為1.53×105~3.92×105間之流場轉換現象。實驗利用基部壓力隨雷諾數變化,再配合圓柱左右兩側θ=±90˚之擾動壓力訊號來判斷圓柱從預臨界區到單分離泡區至雙分離泡區的分界。研究內容主要利用基部壓力係數及圓柱左右兩側θ=±80˚、±90˚之壓力係數搭配熱線探針(Hot-wire)來觀察流場之瞬時訊號。由於單分離泡會造成尾流偏移,吾人同時在單分離泡出現時,置一熱線探針於尾流區,固定X軸及Z軸位置,移動Y軸於一範圍內量測尾流訊號,並同時也量測預臨界區及雙分離泡區做比較。
    另外,同時使用熱絲觀念(Thermal tuft)在圓柱θ=±92˚量測,經由訊號可判定此角度下流場為順流抑或是逆流,進而判定流體是否已在圓柱表面分離,並由即時訊號得到流場當下流況。接著再於單分離泡及雙分離泡出現時,轉動圓柱改變熱絲感測器(MEMS sensors)之角度,期望藉由訊號顯示之順逆流找出流動分離及回覆再接觸現象發生之位置。
    至於瞬時頻率之分析,藉由希爾伯特-黃轉換進行數據處理,得到瞬時溢放頻率及能量大小,此方法貢獻了快速傅立葉轉換無法得到之瞬時頻率。

    This study aims to investigate the transition phenomenon of flow around a circular cylinder in the critical regime at Reynolds numbers between 1.53×105~3.92×105.The base-pressure coefficients and the root-mean-square of the pressure coefficients on two sides of a cylinder were used to determine the pre-critical regime, the one bubble regime, and the two bubble regime. The main purpose of this study was to analyze the instantaneous signals which were measured by the pressure transducers on the cylinder surface and a hot-wire in the wake region. Because the wake flow was shifted in lateral direction while one bubble developed on the cylinder surface, a hot-wire probe was employed to measure the wake velocity profiles at X/D=2 and Z/D=0. Meanwhile, the wake velocity profiles were obtained with respect to the pre-critical regime and the two bubble regime for comparative study.
    Besides, self-made MEMS thermal films sensors located at θ=±92˚ were carried out . A thermal tuft method was used to determine the flow direction at the position measured. Moreover, in order to determine the position of separation point and reattachment point, the cylinder was rotated while the bubble appeared stably.
    The instantaneous behavior of vortex shedding was studied by analyzing the measured data with Hilbert-Huang transformation. This method offers instantaneous information that fast Fourier transformation can not provide.

    中文摘要 I 英文摘要 II 誌謝 IV 目 錄 V 表目錄 IX 圖目錄 X 符號說明 XIII 第一章 序論 1 1.1 研究動機與目的 1 1.2 文獻回顧 2 1.2.1 圓柱流場 2 1.2.2 MEMS熱膜感測器 5 第二章 實驗設備與模型 7 2.1 風洞設備 7 2.2 座標定義 7 2.3 圓柱模型 8 2.4 壓力轉換器 8 2.5 熱線測速儀量測系統 9 2.6 MEMS熱膜感測器 10 2.7 DC訊號放大電路 10 2.8 資料擷取系統 11 2.9 輔助儀器設備 11 2.9.1 手提式壓力校正器(Portable pressure calibration) 11 2.9.2 二維移動機構 12 第三章 實驗方法與步驟 13 3.1 參數分析 13 3.1.1 雷諾數(Reynolds number) 13 3.1.2 無因次頻率(Strouhal number) 13 3.1.3 壓力係數 14 3.1.4 紊流強度 15 3.2 二維圓柱表面壓力量測 15 3.3 渦流溢放頻率量測 16 3.4 訊號處理 16 3.4.1 快速傅立葉轉換(Fast Fourier Transform, FFT) 16 3.4.2 希爾伯特-黃轉換(Hilbert-Huang Transformation, HHT) 17 3.4.2.1. 本質膜態函數(Intrinsic Mode Function, IMF) 17 3.4.2.2. 經驗模態分析法(Empirical Mode Decomposition, EMD) 17 3.4.2.3. 希爾伯特轉換(Hilbert Transformation, HT) 18 3.5 應用熱絲感測器(Thermal Tuft Sensor)之訊號分析 19 第四章 實驗結果與討論 21 4.1 臨界區之劃分 (第一次實驗) 21 4.2 圓柱表面壓力分布 (第一次實驗) 22 4.2.1 預臨界區 23 4.2.2 單分離泡區 23 4.2.3 雙分離泡區 24 4.3 尾流區 (第二次實驗) 25 4.4 MEMS sensor量測 26 4.4.1. 第一次實驗 26 4.4.1.1. 預臨界區 26 4.4.1.2. 單分離泡區 27 4.4.1.3. 雙分離泡區 27 4.4.2. 第二次實驗 28 4.4.2.1. 預臨界區 28 4.4.2.2. 單分離泡區 28 4.4.2.3. 雙分離泡區 28 4.5 圓柱轉角度(第二次實驗) 29 4.5.1 單分離泡區 29 4.5.2 雙分離泡區 30 4.6 渦流溢放頻率(第一次實驗) 31 4.6.1 無因次頻率St的分布 31 4.6.2 快速傅立葉轉換 31 4.6.3 希爾伯特-黃轉換 32 4.6.3.1. 預臨界區 32 4.6.3.2. 單分離泡區 33 4.6.3.3. 雙分離泡區 33 4.7 本實驗與前研究之比較 33 第五章 結論與建議 35 5.1 結論 35 5.2 未來建議 36 參考文獻 37

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