Regular reflection in potential flow and the sonic criterion |
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| Authors: | Volker Elling |
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| Institution: | Department of Mathematics, University of Michigan, 530 Church St., Ann Arbor, MI 48109, USA |
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| Abstract: | 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 MI , 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 MI = 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) |
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