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研究生: 陳偉恆
Chen, Wei-Heng
論文名稱: 平面震波與不同表面粗糙度楔形體相互作用之研究
Investigation of a Planar Shock on a Wedged-Surface with Different Degree of Roughness
指導教授: 尤芳忞
Yu, Fan-Ming
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: 2009
畢業學年度: 97
語文別: 中文
論文頁數: 94
中文關鍵詞: 震波粗糙度楔形體影圖法
外文關鍵詞: wedged-surface, roughness, shock, shadowgraph
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  • 入射震波於馬赫數1.26~1.66範圍的震波,於不同粗糙度之楔形體表面上觀察與研究,已於國立成功大學航空太空工程研究所之震波管設備中完成。本實驗使用影圖法來擷取於斜角為30、40及50度之楔行體斜面上震波反射的流場結構,並利用砂紙來改變模型表面之粗糙度,從極度光滑至表面砂紙平均粗糙度為0.0174cm共做四組實驗來進行分析與比較。實驗結果可以看出,在模型為30及40度之實驗條件時會產生馬赫反射,但增加表面粗糙度後,會使得入射震波與反射震波之夾角及三相點軌跡線夾角變小,甚至會讓40度的模型從馬赫反射改變為正規反射。在50度的模型實驗條件下則會產生正規反射,當增加表面粗糙度後會使得射震波與反射震波之夾角增大,由上述兩者結果可以發現,其結果可歸因於反射震波之移動速度減緩所致,因此增加表面粗糙度必然會使震波反射有減弱的情況發生。

    The investigation of the reflection of a planar shock wave with Mach number in the range between 1.26 and 1.66, over wedged surface with different degree of roughness has been done in the shock tube facility of Institute of Aeronautics and Astronautics in National Cheng-Kung University. The flow field structure over wedges of 30 o, 40 o and 50o by shadowgraph technique, and the sandpaper has been used to change the surface roughness of the model wedges. The shock reflection over wedges of 30o and 40o are of Mach reflection. The observed angle between the incident and reflection shock, as well as the triple point trajectory angle are shown being decreased as the model surface roughness increased. The type of reflection over wedge of 40o is being changed from Mach reflection into regular reflection. The type of shock reflection over 50o wedge model is of regular reflection. The angle between the incident and reflection shock is also being increased as the model surface roughness increased. The flow visualization results indicate that the speed of reflection shock becomes slower. It shows that the reflected shock wave becomes weaker as the model surface roughness increased.

    目錄 中文摘要 I Abstract II 誌謝 III 符號說明 IV 目錄 VI 表目錄 IX 圖目錄 X 第一章 緒論 1 1.1 研究動機與目的 1 1.2 文獻回顧 2 第二章 理論分析 7 2.1 震波管之基本原理 7 2.2 震波反射之基本理論 9 2.2.1 正規反射之基本理論 10 2.2.2 單一馬赫反射之基本理論 12 2.3 影圖法基本原理 14 第三章 實驗設備、方法與步驟 17 3.1 實驗設備 17 3.1.1 震波管 17 3.1.2 測試段和實驗模型 19 3.1.3 壓力數據記錄系統 19 3.1.4 光路系統 21 3.2 實驗方法與步驟 22 第四章 實驗結果與討論 25 4.1 平面震波作用於斜面角度30度的模型 25 4.1.1 對於Lexp之比較 26 4.1.2 對於Wir之比較 26 4.1.3 對於Wim之比較 27 4.1.4 對於χ之比較 27 4.2 平面震波作用於斜面角度40度的模型 28 4.2.1 對於Lexp之比較 28 4.2.2 對於Wir之比較 29 4.2.3 對於Wim之比較 29 4.2.4 對於χ之比較 29 4.3 平面震波作用於斜面角度50度的模型 30 4.3.1 對於Lexp之比較 30 4.3.2 對於Wir之比較 31 4.4 增加表面粗糙度後產生的現象 32 4.5 實驗量測之誤差分析 33 4.5.1 壓力量測之誤差 33 4.5.2 線段量測之誤差 34 4.5.3 角度量測之誤差 34 第五章 結論與建議 36 5.1 結論 36 5.2 建議 37 參考文獻 38 自述 94

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