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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.
DescriptionArtigo publicado num número especial da revista.
Publisher version
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals
DMA - Comunicações

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