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題名 | The Inner-Expansion Analysis on an Inclined Circular Cone with Small Longitudinal Curvature=具攻角擾動圓錐流場之內解展開分析 |
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作者 | 林顯群; 周永泰; | 書刊名 | 中國機械工程學刊 |
卷期 | 20:1 1999.02[民88.02] |
頁次 | 頁45-58 |
分類號 | 440.138 |
關鍵詞 | 攻角圓錐流場; 氣動力分析; 擾動; Vortical layer; Inner-expansion; Inclined cone; Longitudinal curvature; |
語文 | 英文(English) |
中文摘要 | 本研究首先參考極音速流經正圓錐體依非線性漸近理論解析所獲得的結果,應用 其零階近似解作為具軸向曲度之攻角圓錐流場的基本解;藉由擾動法與座標變數變換的技巧 ,以該流場原有的外解為基礎,向內延伸至錐體表面附近作內解的擾動展開,探討漩渦層氣 動力現象,並依據漸近匹配的原理,為整個震波層推導出一致地有效之封閉形式的近似解。 此外,由流線方程式判斷出外解第一階展開的擾動方位速度,一致地適用於震波層中,而經 由探討漩渦層內解擾動展開的氣動力性質,也驗證外解的擾動壓力同樣在震波層內一地致有 效。最後在氣動力分析的結果中,可明顯看出在漩渦層區域內熵與密度等性質其梯度急遽變 化的趨勢,除了可為具軸向曲度之攻角圓錐極音速流場的震波層,歸納出詳細而嚴謹的氣動 力分析;同時並可作為進行黏性與非黏性流場數值計算時,在錐體表面附近的格點安排上, 一個非常重要的參考依據。 |
英文摘要 | This work intends to analyze the vortical layer associated with hypersonic flow past an inclined cone with small longitudinal curvature. By means of the perturbation method and the stretched coordinate, the inner expansion based on the outer solution of the shock layer is proceeded near the body surface. Thereafter, in accordance with the asymptotic matching principle, the uniformly valid approximate solutions are derived and expressed in closed form. Besides, after completing the inner perturbation expansion, perturbation pressure and azimuthal velocity from outer solutions equal the perturbation expansion values from inner solutions. In summary, the analysis of inner solutions illustrates the rapid changes on entropy and density inside the vortical layer. These results enable us to understand the characteristics of the flow near cone surface, and may provide an important guide for grid arrangement to accommodate the rapid adjustment of this thin region. |
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