Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/11286

TitleModelling and solutions to the linear stability of a detonation wave in the kinetic frame
Author(s)Bianchi, M. Pandolfi
Soares, A. J.
KeywordsBoltzmann equation
Chemical reactions
Detonation solution
Linear stability
Issue date2011
PublisherTaylor & Francis
JournalJournal of Difference Equations and Applications
Abstract(s)The analysis of linear stability of a steady detonation wave is formulated for the first time at the kinetic level in the frame of the Boltzmann equation extended to reacting gases. Within this context and for a reversible reaction, the stability problem is carried out, in agreement with most classical papers on gas detonation, through a normal mode approach for the one-dimensional disturbances of the steady wave solution, and an acoustic radiation condition at the final equilibrium as closure condition. The proposed modelling leads to an initial value problem, constituted by the linearized reactive Euler equations in the perturbed shock frame with related Rankine-Hugoniot conditions, which can be solved by means of a proper numerical technique. An application is provided for an elementary bimolecular reaction.
TypeArticle
DescriptionArtigo publicado num número especial da revista.
URIhttp://hdl.handle.net/1822/11286
DOI10.1080/10236190902960065
ISSN1023-6198
1563-5120
Publisher versionhttp://www.tandfonline.com/doi/abs/10.1080/10236190902960065
Peer-Reviewedyes
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals
DMA - Comunicações

Files in This Item:
File Description SizeFormat 
AJSoares(A)_09.pdfVersão dos autores para o documento publicado221,23 kBAdobe PDFView/Open

Partilhe no FacebookPartilhe no TwitterPartilhe no DeliciousPartilhe no LinkedInPartilhe no DiggAdicionar ao Google BookmarksPartilhe no MySpacePartilhe no Orkut
Exporte no formato BibTex mendeley Exporte no formato Endnote Adicione ao seu ORCID