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研究生:陳培昀
研究生(外文):Pei-Yun Chen
論文名稱:以肥皂膜觀察單一振動圓柱之尾流研究
論文名稱(外文):An Investigation of the Flow Patterns behind an Oscillating Cylinder in the soap film tunnel
指導教授:王安邦王安邦引用關係
指導教授(外文):An-Bang Wang
學位類別:碩士
校院名稱:國立臺灣大學
系所名稱:應用力學研究所
學門:工程學門
學類:機械工程學類
論文種類:學術論文
論文出版年:2008
畢業學年度:97
語文別:中文
論文頁數:72
中文關鍵詞:水平與垂直肥皂膜水洞振動圓柱二維流場觀測振動模態
外文關鍵詞:horizontal and vertical soap file tunnelcylinder vibrationtwo dimensional flow visualizationvibrating mode
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肥皂膜水洞自從Couder(1984)提出運用後,因其具有架設簡單、彩色、且最接近二維流場的特性,故深受流力研究者喜愛,也有利於流體力學基本知識的推廣。本研究中,吾人建立了一台雷諾數可達300以上之水平連續流動式肥皂膜水洞,也再次證實流場中的三維不穩定現象(Mode A、Mode B)皆不存在,趨勢與Barkely and Henderson(1996)純二維流場模擬吻合。吾人在研究中並發現:在相同高雷諾數下之靜止圓柱尾流,在水平連續流動式肥皂膜水洞所觀察到的,與垂直流動式肥皂膜水洞中所觀測到的略有差異,此可能與在垂直肥皂膜水洞之流速遠較於水平者高有關。
此外,本研究亦在水平肥皂膜流場中,利用其顯影的便利性去觀察單一振動圓柱尾流隨著圓柱振動頻率與振動振幅改變時的變化。吾人發現在低雷諾數(Re=68)及大振幅下可發現文獻所認為不存在的雙偶渦漩(2P)之尾流模態;而此現象在振幅變小時會轉變為單-偶渦漩對(P+S)之尾流模態,此實驗結果與文獻、模擬比較大致吻合;另外,在觀察2S模態轉變為P+S模態的分界,也有發現其隨著雷諾數降低而有向上偏移的趨勢。實驗中也發現在相同雷諾數、振動頻率與振幅的條件下,不一樣之圓柱振動波型,會出現不一樣之尾流型態。
Since the soap film tunnel was applied by Couder in 1984, the researchers like to utilize the soap film tunnel in the study of fluid mechanics for the sake of its simple structure, colorful flow visualization and near to two-dimensional flow field characteristic
In this research, the horizontal soap film tunnel which can reach the Re up to 300 was constructed, and the three-dimensional unsteady phenomena (Mode A, Mode B) do not exist in soap film tunnel. The results match well with the 2D simulation by Barkely and Henderson(1996).This research has also shown that the wake of a static cylinder in the horizontal soap film differs from in the vertical one because of the difference in velocity which may be the one reason.
Furthermore, the convenience of soap film visualization was applied to observe the effectiveness of the wake by vibrating a single cylinder with various frequency and amplitude. In low Re(=68) and large amplitude, the results show that there has2P mode wake structure which has never been found in the literature, but the 2P mode changes into P+S mode wake structure while in small amplitude. These results almost match with papers and numerical simulations and the boundary between 2S mode and P+S mode shifts upward while the Reynolds number decreases was also found. Besides, the study also shows that there are different wake structures while vibrates the cylinder in different way with the same Re, vibrating frequency and amplitude.
口試委員會審定書 i
致謝 ii
中文摘要 iii
Abstract iv
目錄 v
圖目錄 viii
符號說明 xi

第一章 緒論 1
1.1 前言 1
1.2 文獻回顧 2
1.2.1 單一靜止圓柱 2
1.2.2 振動圓柱 4
1.2.3肥皂膜流場 7
1.3 研究目的 9
第二章 實驗設備與方法 11
2.1 肥皂膜水洞 11
2.1.1 流動式肥皂膜水洞與傳統設備的差異 12
2.1.2 肥皂膜的組成 12
2.2 雷射都普勒測速系統(LDV system) 13
2.3 實驗用圓柱 14
2.4 運動黏滯係數(Kinematic viscosity)決定 14
2.5 振動器 15
2.6 可視化流場系統架構 15
2.6.1 相機 15
第三章 實驗設備架設結果 17
3.1 水平肥皂膜水洞的架設 17
3.1.1 狹縫片狀水流產生器(Water sheet generator) 17
3.1.2肥皂水供應槽 17
3.1.3 肥皂膜框架 18
3.2 垂直肥皂膜水洞的架設 19
3.2.1 肥皂溶液供應段 19
3.2.2 肥皂膜實驗段 20
3.3 肥皂膜流場測試 20
3.3.1 水平肥皂膜流場測試 21
3.3.2 垂直肥皂膜流場測試 22
第四章 圓柱尾流觀察結果 24
4.1 靜止圓柱尾流觀察 24
4.1.1垂直與水平肥皂膜水洞中的靜止圓柱尾流比較 24
4.2 強制振動圓柱尾流現象探討 25
4.2.1 Re=140(Blockage Ratio,BR=6%,D=2.6mm)與文獻比對 25
4.2.2 Re>300(BR=10%,D=5mm)與文獻比對 26
4.2.3 Re=68(BR=4%,D=2mm)尾流現象觀察並與模擬比較 26
第五章 結論與未來展望 30
5.1 結論 30
5.2 未來展望 31
表一 68
參考文獻 69
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