A Kinetic relaxation model for bimolecular chemical reactions
by M. Groppi   G. Spiga  

Vol. 2 No. 2 (2007) P.609~P.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.

KEYWORDS
Kinetic theory, chemical reaction, BGK model

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 82C40, 76P05

MILESTONES

Received: 2004-12-15
Revised : 2005-03-24
Accepted:

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