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TitleA BGK model for reactive mixtures of polyatomic gases with continuous internal energy
Author(s)Bisi, M.
Monaco, Roberto
Soares, A. J.
KeywordsBoltzmann equation
BGK models
Polyatomic gas mixtures
Chemical reactions
Issue date21-Feb-2018
PublisherIOP Publishing
JournalJournal of Physics A: Mathematical and Theoretical
Abstract(s)In this paper we derive a BGK relaxation model for a mixture of polyatomic gases with a continuous structure of internal energies. The emphasis of the paper is on the case of a quaternary mixture undergoing a reversible chemically reaction of bimolecular type. For such a mixture we prove an H-theorem and characterize the equilibrium solutions with related mass action law of chemical kinetics. Further, a Chapman-Enskog asymptotic analysis is performed in view of computing the first-order non-equilibrium corrections to the distribution functions and investigating the transport properties of the reactive mixture. The chemical reaction rate is explicitly derived at the first-order and the balance equations for the constituent number densities are derived at the Euler level.
DescriptionVersão dos autores para esta publicação.
Publisher version
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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