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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/45991

    Title: Nonlinear asymptotic theory of hypersonic flow past a circular cone
    Authors: Chou, Y. T.;Lin, S. C.;Feng, Chao-Kang
    Contributors: 淡江大學航空太空工程學系
    Keywords: Approximation theory;Asymptotic stability;Equations of motion;Iterative methods;Nonlinear equations;Shock waves;Supersonic flow;Thermodynamic properties;Taylor-Maccoll equation;Hypersonic flow
    Date: 1998-03
    Issue Date: 2013-03-20 16:21:50 (UTC+8)
    Publisher: Heidelberg: Springer
    Abstract: The hypersonic small-disturbance theory is reexamined in this study. A systematic and rigorous approach is proposed to obtain the nonlinear asymptotic equation from the Taylor-Maccoll equation for hypersonic flow past a circular cone. Using this approach, consideration is made of a general asymptotic expansion of the unified supersonic-hypersonic similarity parameter together with the stretched coordinate. Moreover, the successive approximate solutions of the nonlinear hypersonic smalldisturbance equation are solved by iteration. Both of these approximations provide a closed-form solution, which is suitable for the analysis of various related flow problems. Besides the velocity components, the shock location and other thermodynamic properties are presented. Comparisons are also made of the zeroth-order with first-order approximations for shock location and pressure coefficient on the cone surface, respectively. The latter (including the nonlinear effects) demonstrates better correlation with exact solution than the zeroth-order approximation. This approach offers further insight into the fundamental features of hypersonic small-disturbance theory.
    Relation: Acta Mechanica 130(1-2), pp.1-15
    DOI: 10.1007/BF01187039
    Appears in Collections:[Graduate Institute & Department of Aerospace Engineering] Journal Article

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