Set-valued solutions for non-ideal detonation

Handle URI:
http://hdl.handle.net/10754/621624
Title:
Set-valued solutions for non-ideal detonation
Authors:
Semenko, Roman; Faria, Luiz ( 0000-0001-8159-4442 ) ; Kasimov, Aslan R.; Ermolaev, B. S.
Abstract:
The 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.
KAUST Department:
Applied Mathematics and Computational Science Program
Citation:
Semenko 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.
Publisher:
Springer Science + Business Media
Journal:
Shock Waves
Issue Date:
11-Dec-2015
DOI:
10.1007/s00193-015-0610-3
Type:
Article
ISSN:
0938-1287; 1432-2153
Sponsors:
The research reported in this publication was supported by the King Abdullah University of Science and Technology (KAUST).
Appears in Collections:
Articles; Applied Mathematics and Computational Science Program

Full metadata record

DC FieldValue Language
dc.contributor.authorSemenko, Romanen
dc.contributor.authorFaria, Luizen
dc.contributor.authorKasimov, Aslan R.en
dc.contributor.authorErmolaev, B. S.en
dc.date.accessioned2016-11-03T13:21:13Z-
dc.date.available2016-11-03T13:21:13Z-
dc.date.issued2015-12-11en
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.en
dc.identifier.issn0938-1287en
dc.identifier.issn1432-2153en
dc.identifier.doi10.1007/s00193-015-0610-3en
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.en
dc.description.sponsorshipThe research reported in this publication was supported by the King Abdullah University of Science and Technology (KAUST).en
dc.publisherSpringer Science + Business Mediaen
dc.subjectGaseous detonationen
dc.subjectHeat and momentum lossesen
dc.subjectVelocity deficiten
dc.titleSet-valued solutions for non-ideal detonationen
dc.typeArticleen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.identifier.journalShock Wavesen
dc.contributor.institutionDepartment of Mechanics and Mathematics, Novosibirsk State University, Pirogova St. 2, Novosibirsk, Russian Federationen
dc.contributor.institutionDepartment of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, United Statesen
dc.contributor.institutionSemenov Institute of Chemical Physics, Russian Academy of Sciences, Kosygina Street, 4, Moscow, Russian Federationen
kaust.authorSemenko, Romanen
kaust.authorFaria, Luizen
kaust.authorKasimov, Aslan R.en
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