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研究生： 許志忠
Hsu, Chih-Chung
論文名稱： 平面震波與不同開孔率拋物面交互作用之研究
Investigation of a Planar Shock Wave on a Porous Parabolic Reflector
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： 2010
畢業學年度： 98
語文別： 中文
論文頁數： 110
中文關鍵詞： 震波聚焦 、透氣材料 、開孔率 、臨界轉換楔形角度 、彩色紋影法
外文關鍵詞： shock wave focusing, porous material, porosity, critical transition wedge angle, color schlieren
相關次數： 點閱：80  下載：2 
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    • 本論文主要在探討不同馬赫數的平面震波作用於不同開孔率的拋物面反射體所產生的變化情形，平面震波作用於拋物面體時震波會產生聚焦，此震波聚焦點上具有極高的能量，藉由量測震波聚焦點附近各點的壓力變化可以清楚的知道震波聚焦所能放大的壓力，另外配合彩色紋影法所拍攝到的流場變化，藉由彩色濾片的安排，可以使我們清楚的看出密度梯度變化的方向。本實驗利用k=0.0255與k=0.0389兩種不同曲率的拋物面反射體配上Ø=0、0.56與0.77三種不同的開孔率當做實驗模型，入射震波馬赫數為1.36~1.65，來探討這些參數對震波聚焦過程所造成的影響，藉由壓力量測的結果與彩色紋影法所拍攝的一連串流場變化，得到的結果為震波作用於具開孔率的透氣材料時震波聚焦點的壓力放大值會下降、臨界轉換楔形角度會變小，而臨界轉換楔形角度變小也使得震波聚焦點遠離拋物面反射體，另外拋物面反射體與入射震波馬赫數也會影響震波聚焦過程與壓力的變化。

    This study is being focused on the shock wave behavior for various incident shock wave Mach number on different porous parabolic reflectors. There is a focusing process during a planar shock wave acts on the parabolic reflector, and it will offer an extreme energy that acts on the focal point. By measuring the variation of pressure around the focal point can help to understand the amplification effect on the pressure due to shock wave focusing. In addition, this study also shows the direction of density gradient and the change of the flow filed by using the color schlieren method. This study uses two types of parabolic reflector of curvatures k=0.0255 and k=0.0389, respectively, and the porosity with Ø=0, Ø=0.56 and 0.77, respectively for the experimental models. The incident shock wave Mach number have the range within 1.36 ~ 1.65 during the experiment of focusing process. The results show that the pressure of focal point in focusing process is reduced with the porosity, and the critical transition wedge angle is reduced too comparing to the focusing process on a solid reflector. This effect also causes the focal point to move away from the geometric focal point of the reflector.

    摘要................................I Abstract................................II 誌謝................................III 目錄................................IV 表目錄................................VII 圖目錄................................VIII 符號說明................................XII 第一章 緒論................................1 1.1 研究動機與目的................................1 1.2 文獻回顧................................2 1.2.1 震波聚焦(Shock Wave Focusing)................................2 1.2.2 震波在透氣材料中的傳播現象(Shock Wave Propagation in Porous Media)................................4 1.2.3 流場可視化(Flow Visualization)................................5 第二章 理論分析................................7 2.1 震波管之基本原理................................7 2.2 反射震波之基本理論................................9 2.3 震波聚焦過程的基本行為................................10 2.4 二維拋物面反射體臨界轉換楔形角度分析................................10 2.5 彩色紋影法原理介紹................................13 第三章 實驗設備、方法及步驟................................15 3.1 實驗設備................................15 3.1.1 震波管................................15 3.1.2 測試段和實驗模型................................16 3.1.3 壓力數據記錄系統................................17 3.1.4 光路系統................................18 3.2 實驗方法與步驟................................19 第四章 實驗結果與討論................................22 4.1 平面震波經不同開孔率拋物面反射體的壓力量測................................22 4.2 利用彩色紋影法所拍攝到不同馬赫數之平面震波經不 同開孔率R1拋物面反射體的流場變化................................25 4.2.1 MS=1.44的平面震波經Ø=0的R1反射體震波聚焦 變化情形................................25 4.2.2 MS=1.44的平面震波經Ø=0.56的R1反射體震波聚 焦變化情形................................27 4.2.3 MS=1.44的平面震波經Ø=0.77的R1反射體震波聚 焦變化情形................................28 4.2.4 不同入射震波馬赫數的平面震波經不同開孔率R1反射 體震波聚焦變化情形................................29 4.3 利用彩色紋影法所拍攝到不同馬赫數之平面震波經不 同開孔率R2反射體的流場變化................................30 4.3.1 MS=1.56的平面震波經Ø=0的R2反射體震波聚焦 變化情形................................30 4.3.2 MS=1.56的平面震波經Ø=0.56的R2反射體震波聚 焦變化情形................................31 4.3.3 MS=1.56的平面震波經Ø=0.77的R2反射體震波聚 焦變化情形................................32 4.3.4 不同入射震波馬赫數的平面震波經不同開孔率R2反射 體震波聚焦變化情形................................32 4.4 實驗量測之誤差分析................................33 第五章 結論與建議................................35 5.1 結論................................35 5.2 建議................................36 參考文獻................................37 附表................................40 附圖................................47 附錄A R1拋物面反射體在不同馬赫數與不同開孔率下，中心軸 各點所量測的壓力訊號圖................................90 附錄B R2拋物面反射體在不同馬赫數與不同開孔率下，中心軸 各點所量測的壓力訊號圖................................100 自述................................110

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