Nonlinear asymptotic theory of hypersonic flow past a circular cone (Q1265356)
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scientific article; zbMATH DE number 1203584
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlinear asymptotic theory of hypersonic flow past a circular cone |
scientific article; zbMATH DE number 1203584 |
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Nonlinear asymptotic theory of hypersonic flow past a circular cone (English)
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26 April 1999
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We reexamine the hypersonic small-disturbance theory. 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, we consider a general asymptotic expansion in a unified supersonic-hypersonic similarity parameter together with the stretched coordinate. The successive approximate solutions of the nonlinear hypersonic small-disturbance equation are found by iteration. Both of these approximations provide closed-form solutions, which are suitable for the analysis of various related flow problems.
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shock location
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first-order approximation
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pressure coefficient
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zeroth-order approximation
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small-disturbance theory
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Taylor-Maccoll equation
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unified supersonic-hypersonic similarity parameter
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stretched coordinate
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iteration
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