A Review on BGK Models for Gas Mixtures of Mono and Polyatomic Molecules

We consider the Bathnagar–Gross–Krook (BGK) model, an approximation of the Boltzmann equation, describing the time evolution of a single momoatomic rarefied gas and satisfying the same two main properties (conservation properties and entropy inequality). However, in practical applications, one often...

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Autor principal:	Marlies Pirner
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	multi-fluid mixture kinetic model BGK approximation degrees of freedom in internal energy existence of solutions large-time behaviour Thermodynamics QC310.15-319 Descriptive and experimental mechanics QC120-168.85
Acceso en línea:	https://doaj.org/article/c9d95c464da647468d4c271d05fdce1f
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spelling	oai:doaj.org-article:c9d95c464da647468d4c271d05fdce1f2021-11-25T17:31:36ZA Review on BGK Models for Gas Mixtures of Mono and Polyatomic Molecules10.3390/fluids61103932311-5521https://doaj.org/article/c9d95c464da647468d4c271d05fdce1f2021-11-01T00:00:00Zhttps://www.mdpi.com/2311-5521/6/11/393https://doaj.org/toc/2311-5521We consider the Bathnagar–Gross–Krook (BGK) model, an approximation of the Boltzmann equation, describing the time evolution of a single momoatomic rarefied gas and satisfying the same two main properties (conservation properties and entropy inequality). However, in practical applications, one often has to deal with two additional physical issues. First, a gas often does not consist of only one species, but it consists of a mixture of different species. Second, the particles can store energy not only in translational degrees of freedom but also in internal degrees of freedom such as rotations or vibrations (polyatomic molecules). Therefore, here, we will present recent BGK models for gas mixtures for mono- and polyatomic particles and the existing mathematical theory for these models.Marlies PirnerMDPI AGarticlemulti-fluid mixturekinetic modelBGK approximationdegrees of freedom in internal energyexistence of solutionslarge-time behaviourThermodynamicsQC310.15-319Descriptive and experimental mechanicsQC120-168.85ENFluids, Vol 6, Iss 393, p 393 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	multi-fluid mixture kinetic model BGK approximation degrees of freedom in internal energy existence of solutions large-time behaviour Thermodynamics QC310.15-319 Descriptive and experimental mechanics QC120-168.85
spellingShingle	multi-fluid mixture kinetic model BGK approximation degrees of freedom in internal energy existence of solutions large-time behaviour Thermodynamics QC310.15-319 Descriptive and experimental mechanics QC120-168.85 Marlies Pirner A Review on BGK Models for Gas Mixtures of Mono and Polyatomic Molecules
description	We consider the Bathnagar–Gross–Krook (BGK) model, an approximation of the Boltzmann equation, describing the time evolution of a single momoatomic rarefied gas and satisfying the same two main properties (conservation properties and entropy inequality). However, in practical applications, one often has to deal with two additional physical issues. First, a gas often does not consist of only one species, but it consists of a mixture of different species. Second, the particles can store energy not only in translational degrees of freedom but also in internal degrees of freedom such as rotations or vibrations (polyatomic molecules). Therefore, here, we will present recent BGK models for gas mixtures for mono- and polyatomic particles and the existing mathematical theory for these models.
format	article
author	Marlies Pirner
author_facet	Marlies Pirner
author_sort	Marlies Pirner
title	A Review on BGK Models for Gas Mixtures of Mono and Polyatomic Molecules
title_short	A Review on BGK Models for Gas Mixtures of Mono and Polyatomic Molecules
title_full	A Review on BGK Models for Gas Mixtures of Mono and Polyatomic Molecules
title_fullStr	A Review on BGK Models for Gas Mixtures of Mono and Polyatomic Molecules
title_full_unstemmed	A Review on BGK Models for Gas Mixtures of Mono and Polyatomic Molecules
title_sort	review on bgk models for gas mixtures of mono and polyatomic molecules
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/c9d95c464da647468d4c271d05fdce1f
work_keys_str_mv	AT marliespirner areviewonbgkmodelsforgasmixturesofmonoandpolyatomicmolecules AT marliespirner reviewonbgkmodelsforgasmixturesofmonoandpolyatomicmolecules
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A Review on BGK Models for Gas Mixtures of Mono and Polyatomic Molecules

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