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Bulletin of the Institute of
Mathematics Academia Sinica
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2007 / June Volume 2 No.2
A Kinetic relaxation model for bimolecular chemical reactions
Published Date
2007 / June
Title
A Kinetic relaxation model for bimolecular chemical reactions
Author
M. Groppi, G. Spiga
Keyword
Kinetic theory, chemical reaction, BGK model, Kinetic theory, chemical reaction, BGK model
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Pagination
609-635
Abstract
A recently proposed consistent BGK-type approach for chemically reacting gas mixtures is discussed, which accounts for the correct rates of transfer for mass, momentum and energy, and recovers the exact conservation equations and collision equilibria, including mass action law. In particular, the hydrodynamic limit is derived by a Chapman-Enskog procedure, and compared to existing results for the reactive and non-reactive cases. In addition, numerical results are presented for non-isotropic space-homogeneous problems in which physical conditions allow reduction of the integrations over the three-dimensional velocity space to only one dimension.
AMS Subject
Classification
82C40, 76P05
Received
2005-03-24
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