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dc.contributor.authorSemenko, Roman
dc.contributor.authorFaria, Luiz
dc.contributor.authorKasimov, Aslan R.
dc.contributor.authorErmolaev, B. S.
dc.date.accessioned2016-11-03T13:21:13Z
dc.date.available2016-11-03T13:21:13Z
dc.date.issued2015-12-11
dc.identifier.citationSemenko R, Faria LM, Kasimov AR, Ermolaev BS (2015) Set-valued solutions for non-ideal detonation. Shock Waves 26: 141–160. Available: http://dx.doi.org/10.1007/s00193-015-0610-3.
dc.identifier.issn0938-1287
dc.identifier.issn1432-2153
dc.identifier.doi10.1007/s00193-015-0610-3
dc.identifier.urihttp://hdl.handle.net/10754/621624
dc.description.abstractThe existence and structure of a steady-state gaseous detonation propagating in a packed bed of solid inert particles are analyzed in the one-dimensional approximation by taking into consideration frictional and heat losses between the gas and the particles. A new formulation of the governing equations is introduced that eliminates the difficulties with numerical integration across the sonic singularity in the reactive Euler equations. With the new algorithm, we find that when the sonic point disappears from the flow, there exists a one-parameter family of solutions parameterized by either pressure or temperature at the end of the reaction zone. These solutions (termed “set-valued” here) correspond to a continuous spectrum of the eigenvalue problem that determines the detonation velocity as a function of a loss factor.
dc.description.sponsorshipThe research reported in this publication was supported by the King Abdullah University of Science and Technology (KAUST).
dc.publisherSpringer Nature
dc.subjectGaseous detonation
dc.subjectHeat and momentum losses
dc.subjectVelocity deficit
dc.titleSet-valued solutions for non-ideal detonation
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalShock Waves
dc.contributor.institutionDepartment of Mechanics and Mathematics, Novosibirsk State University, Pirogova St. 2, Novosibirsk, Russian Federation
dc.contributor.institutionDepartment of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, United States
dc.contributor.institutionSemenov Institute of Chemical Physics, Russian Academy of Sciences, Kosygina Street, 4, Moscow, Russian Federation
dc.identifier.arxivid1312.2180
kaust.personSemenko, Roman
kaust.personFaria, Luiz
kaust.personKasimov, Aslan R.
dc.date.published-online2015-12-11
dc.date.published-print2016-03


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