超音速、穿音速與極音速之遠場非線性漸近理論

機構典藏 > College of Engineering > Graduate Institute & Department of Mechanical and Electro-Mechanical Engineering > Proceeding > Item 987654321/38001

Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/38001

Title:	超音速、穿音速與極音速之遠場非線性漸近理論
Authors:	馮朝剛;楊龍杰
Contributors:	淡江大學機械與機電工程學系
Keywords:	漸近展開;遠場;超音速;穿音速;極音速;曲線震波;Asymptotic Expansion;Far Field;Supersonic;Transonic;Hypersonic;Curved Shock
Date:	1995-12-14
Issue Date:	2010-01-11 14:29:54 (UTC+8)
Abstract:	超音速遠場之非線性漸近理論經本文作者們嚴謹而完整之推導得出。本文中將自由流馬赫數對穿音速與極音速之相似參數作漸近展開,並對其相關坐標作伸縮變換,則穿音速與極音速之遠場漸近方程式可由超音速遠場非線性方程式推導得出。值得提出者乃是超音速、穿音速、與極音速之遠場具有相同之數學結構,三者之遠場漸近方程式皆為類似之無黏性Burgers方程式。本文以二次曲線之翼剖面為例,求出其超音速、穿音速與極音速等三者不同流速區域中具有相似之遠場解及曲線震波結構。 By using the asymptotic expansion, a systematic and rigorous approach for obtaining the supersonic far field equation, inviscid Burgers equation, has been derived by the authors. In this paper, the transonic and hypersonic far field equations are derived from the supersonic far field by considering a general expansion of free stream Mach number in terms of transonic and hypersonic similarity parameters together with the stretched coordinates. It is worth mentioning that the mathematical structures of the far fields of the supersonic, transonic, and hypersonic flows are the same. The problems of the supersonic, transonic, and hypersonic flow past a parabolic-shaped airfoil are solved including the similar structure of the leading and trailing curved shocks.
Relation:	第一屆海峽兩岸航空太空學術研討會論文集，頁41471
Appears in Collections:	[Graduate Institute & Department of Mechanical and Electro-Mechanical Engineering] Proceeding

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