First order kinetic approximation for a reactive gas mixture

Detalhes bibliográficos
Autor(a) principal: Soares, A. J.
Data de Publicação: 2005
Outros Autores: Bianchi, M. Pandolfi
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/1822/1573
Resumo: A multicomponent reacting gas with an arbitrary number of chemical species and one reversible reaction is studied at a kinetic level in the frame of Discrete Velocity Models of the Boltzmann equation, with the main objective of deriving the "reactive" Navier Stokes equations of the model, and characterizing the dissipative terms related to shear viscosity, thermal conductivity and thermal diffusion. The closure of the system formed by conservation and chemical rate equations is based on a first-order Chapman-Enskog method, to be applied in the strong reaction regime, and on a convenient representation of the density vector space in terms of the macroscopic variables. A mathematical procedure is proposed which leads to identify the transport coefficients and may be applied to a quite large variety of reactive gas flows. Moreover, it allows to characterize the functional form of the transport coefficients in dependence on the local gas concentrations, once the model is specified.
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spelling First order kinetic approximation for a reactive gas mixtureKinetic theoryMixturesChemical reactionsDiscrete modelsTransport coefficientsScience & TechnologyA multicomponent reacting gas with an arbitrary number of chemical species and one reversible reaction is studied at a kinetic level in the frame of Discrete Velocity Models of the Boltzmann equation, with the main objective of deriving the "reactive" Navier Stokes equations of the model, and characterizing the dissipative terms related to shear viscosity, thermal conductivity and thermal diffusion. The closure of the system formed by conservation and chemical rate equations is based on a first-order Chapman-Enskog method, to be applied in the strong reaction regime, and on a convenient representation of the density vector space in terms of the macroscopic variables. A mathematical procedure is proposed which leads to identify the transport coefficients and may be applied to a quite large variety of reactive gas flows. Moreover, it allows to characterize the functional form of the transport coefficients in dependence on the local gas concentrations, once the model is specified.The paper is partially supported by the National Research Project COFIN 2003 “Non linear mathematical problems of wave propagation and stability in models of continuous media” (Prof. T. Ruggeri), and and Minho University Mathematics Centre (Fundação para a Ciência e Tecnologia/Programa Operacional “Ciência, Tecnologia, Inovação”).SpringerUniversidade do MinhoSoares, A. J.Bianchi, M. Pandolfi20052005-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/1822/1573engPandolfi Bianchi, M., & Soares, A. J. (2005, May). First-order kinetic approximation for a reactive gas mixture. Continuum Mechanics and Thermodynamics. Springer Science and Business Media LLC. http://doi.org/10.1007/s00161-004-0198-90935-117510.1007/s00161-004-0198-9info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T12:35:24Zoai:repositorium.sdum.uminho.pt:1822/1573Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:31:14.813805Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv First order kinetic approximation for a reactive gas mixture
title First order kinetic approximation for a reactive gas mixture
spellingShingle First order kinetic approximation for a reactive gas mixture
Soares, A. J.
Kinetic theory
Mixtures
Chemical reactions
Discrete models
Transport coefficients
Science & Technology
title_short First order kinetic approximation for a reactive gas mixture
title_full First order kinetic approximation for a reactive gas mixture
title_fullStr First order kinetic approximation for a reactive gas mixture
title_full_unstemmed First order kinetic approximation for a reactive gas mixture
title_sort First order kinetic approximation for a reactive gas mixture
author Soares, A. J.
author_facet Soares, A. J.
Bianchi, M. Pandolfi
author_role author
author2 Bianchi, M. Pandolfi
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Soares, A. J.
Bianchi, M. Pandolfi
dc.subject.por.fl_str_mv Kinetic theory
Mixtures
Chemical reactions
Discrete models
Transport coefficients
Science & Technology
topic Kinetic theory
Mixtures
Chemical reactions
Discrete models
Transport coefficients
Science & Technology
description A multicomponent reacting gas with an arbitrary number of chemical species and one reversible reaction is studied at a kinetic level in the frame of Discrete Velocity Models of the Boltzmann equation, with the main objective of deriving the "reactive" Navier Stokes equations of the model, and characterizing the dissipative terms related to shear viscosity, thermal conductivity and thermal diffusion. The closure of the system formed by conservation and chemical rate equations is based on a first-order Chapman-Enskog method, to be applied in the strong reaction regime, and on a convenient representation of the density vector space in terms of the macroscopic variables. A mathematical procedure is proposed which leads to identify the transport coefficients and may be applied to a quite large variety of reactive gas flows. Moreover, it allows to characterize the functional form of the transport coefficients in dependence on the local gas concentrations, once the model is specified.
publishDate 2005
dc.date.none.fl_str_mv 2005
2005-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/1822/1573
url https://hdl.handle.net/1822/1573
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Pandolfi Bianchi, M., & Soares, A. J. (2005, May). First-order kinetic approximation for a reactive gas mixture. Continuum Mechanics and Thermodynamics. Springer Science and Business Media LLC. http://doi.org/10.1007/s00161-004-0198-9
0935-1175
10.1007/s00161-004-0198-9
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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