普朗特-梅耶二氏流邊界值問題之極音速二 階漸近解

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Title:	普朗特-梅耶二氏流邊界值問題之極音速二階漸近解
Other Titles:	Second-order Hypersonic Solution of the Boundary-Value Problem of Prandtl-Meyer Flow
Authors:	馮朝剛;高百齡
Contributors:	淡江大學航空太空工程學系
Keywords:	普朗特-梅耶二氏流;邊界值問題;極音速二階漸近解;相似解;極音速參數;應變座標;Prandtl-Meyer Flow;Boundary Value Problem;Second-Order Hypersonic Solution;Similarity Solution;Hypersonic Parameter;Strained Coordinate
Date:	1990-12
Issue Date:	2014-03-07 11:30:58 (UTC+8)
Abstract:	普朗特-梅耶二氏流邊界值問題具有相似確解,且該解適用於任意轉折角.delta.及自由流為穿音速,超音速及極音速之流動範圍。當轉折角.delta..arrr.0時,本文利用漸近展開法直接在物理平面上處理其非線性常微分方程式之邊界值問題,並且有系統的求得普朗特-梅耶二氏流之極音速一階及二階漸近解,而本文所得之二階漸近解較傳統之微小擾動法所得者更為完整與準確。 In this paper, a systematic approach for obtaining the second-order hypersonic solution to the boundary-value problem of Prandtl-Meyer flow is given by considering a general higher order expansion of the hypersonic parameter together with the method of Strained Coordinates. We have chosen to treat the case of Prandtl-Meyer flow specifically because an exact similarity solution exists. In this fashion, by comparing the results, we can obtain some feeling for just how accurate the hypersonic small-disturbance theory is.
Relation:	中華民國力學學會第十四屆全國力學會議論文集(二)=Proceedings of the 14th National Conference on Theoretical and Applied M=echanics (II)，頁1047-1056
Appears in Collections:	[Graduate Institute & Department of Aerospace Engineering] Proceeding

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