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A simple physical theory of weak Mach reflection over plane surfaces

Sandeman, R J

Description

It is shown that simple physical principles coupled with the inviscid shock jump relations can be applied to the problem of weak Mach reflection to the extent that the triple point path can be predicted from the incident shock Mach number Mi, gas specific heat ratio γ and the inclination angle θw of the reflecting surface to the shock normal. Comparison with the Euler code data and with experiments show close agreement for conditions both far and close to transition and that the general shape...[Show more]

dc.contributor.authorSandeman, R J
dc.date.accessioned2015-12-13T23:15:37Z
dc.identifier.issn0938-1287
dc.identifier.urihttp://hdl.handle.net/1885/88972
dc.description.abstractIt is shown that simple physical principles coupled with the inviscid shock jump relations can be applied to the problem of weak Mach reflection to the extent that the triple point path can be predicted from the incident shock Mach number Mi, gas specific heat ratio γ and the inclination angle θw of the reflecting surface to the shock normal. Comparison with the Euler code data and with experiments show close agreement for conditions both far and close to transition and that the general shape of the reflected and Mach stem shocks follow simple curves except in the neighbourhood of the triple point. The conflict at the triple point in matching the flow deflection angles and pressures across the contact discontinuity remains. It is shown however that the simple model presented here gives a close match to the cfd and experimental overall shock and contact surface shapes although it cannot predict these or the flow properties in any detail.
dc.publisherSpringer
dc.sourceShock Waves
dc.subjectKeywords: Mach reflection; Weak shock waves
dc.titleA simple physical theory of weak Mach reflection over plane surfaces
dc.typeJournal article
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.citationvolume10
dc.date.issued2000
local.identifier.absfor090107 - Hypersonic Propulsion and Hypersonic Aerodynamics
local.identifier.ariespublicationMigratedxPub18843
local.type.statusPublished Version
local.contributor.affiliationSandeman, R J, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.issue2
local.bibliographicCitation.startpage103
local.bibliographicCitation.lastpage112
dc.date.updated2015-12-12T08:44:16Z
local.identifier.scopusID2-s2.0-0034386685
CollectionsANU Research Publications

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