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2010 Regular Reflection in Self-Similar Potential Flow and the Sonic Criterion
Volker Elling
Commun. Math. Anal. 8(2): 22-69 (2010).

Abstract

Reflection of a shock from a solid wedge is a classical problem in gas dynamics. Depending on the parameters either a regular or a irregular (Mach-type) reflection results. We construct regular reflection as an exact self-similar solution for potential flow. For some upstream Mach numbers $M_I$ and isentropic coefficients $\gamma$, a solution exists for all wedge angles $\theta$ allowed by the sonic criterion. This demonstrates that, at least for potential flow, weaker criteria are false.

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Volker Elling. "Regular Reflection in Self-Similar Potential Flow and the Sonic Criterion." Commun. Math. Anal. 8 (2) 22 - 69, 2010.

Information

Published: 2010
First available in Project Euclid: 21 April 2010

zbMATH: 1328.76038
MathSciNet: MR2569954

Subjects:
Primary: 75M10 , 76H05

Keywords: potential flow , regular reflection , Shock , sonic criterion

Rights: Copyright © 2010 Mathematical Research Publishers

JOURNAL ARTICLE
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Vol.8 • No. 2 • 2010
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