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Regular reflection in potential flow and the sonic criterion
Author(s) -
Elling Volker
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700048
Subject(s) - mach number , reflection (computer programming) , flow (mathematics) , mach reflection , mach wave , physics , mechanics , mathematics , optics , geometry , mathematical analysis , computer science , programming language
We study the classical problem of self‐similar reflection of shocks at a ramp, modeled by potential flow with γ‐law pressure. Depending on corner angle θ and upstream Mach number M I , either regular (RR) or Mach reflections occur. There are several conflicting transition criteria predicting the corner angle at which the type of reflection changes. We show that in some cases, in particular M I = 1 and γ = 5/3, an exact RR solution exists for all θ specified by the sonic criterion. Thus all weaker criteria are false. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)