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Regular reflection in potential flow and the sonic criterion
dc.contributor.authorElling, Volkeren_US
dc.date.accessioned2008-03-31T18:44:26Z
dc.date.available2009-01-07T20:01:16Zen_US
dc.date.issued2007-12en_US
dc.identifier.citationElling, Volker (2007). "Regular reflection in potential flow and the sonic criterion." PAMM - Proceedings in Applied Mathematics and Mechanics 7(1): 2100005-2100006. <http://hdl.handle.net/2027.42/58089>en_US
dc.identifier.issn1617-7061en_US
dc.identifier.issn1617-7061en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/58089
dc.description.abstractWe 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)en_US
dc.format.extent89261 bytes
dc.format.extent3118 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.publisherWILEY-VCH Verlagen_US
dc.subject.otherMathematics and Statisticsen_US
dc.titleRegular reflection in potential flow and the sonic criterionen_US
dc.typeArticleen_US
dc.rights.robotsIndexNoFollowen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbsecondlevelMechanical Engineeringen_US
dc.subject.hlbtoplevelScienceen_US
dc.subject.hlbtoplevelEngineeringen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, University of Michigan, 530 Church St., Ann Arbor, MI 48109, USA ; Phone: +001 401 523 5880en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/58089/1/2100005_ftp.pdf
dc.identifier.doihttp://dx.doi.org/10.1002/pamm.200700048en_US
dc.identifier.sourcePAMM - Proceedings in Applied Mathematics and Mechanicsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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