Kinetic model for a confined quasi-two-dimensional gas of inelastic hard spheres

The local balance equations for the density, momentum, and energy of a dilute gas of elastic or inelastic hard spheres, strongly confined between two parallel hard plates are obtained. The starting point is a Boltzmann-like kinetic equation, recently derived for this system. As a consequence of the...

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Autores: Brey Abalo, José Javier, Maynar Blanco, Pablo, García de Soria Lucena, María Isabel
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/104246
Acceso en línea:https://hdl.handle.net/11441/104246
https://doi.org/10.1088/1742-5468/ab7124
Access Level:acceso abierto
Palabra clave:Boltzmann equation
Kinetic theory of gases and liquids
Transport properties
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spelling Kinetic model for a confined quasi-two-dimensional gas of inelastic hard spheresBrey Abalo, José JavierMaynar Blanco, PabloGarcía de Soria Lucena, María IsabelBoltzmann equationKinetic theory of gases and liquidsTransport propertiesThe local balance equations for the density, momentum, and energy of a dilute gas of elastic or inelastic hard spheres, strongly confined between two parallel hard plates are obtained. The starting point is a Boltzmann-like kinetic equation, recently derived for this system. As a consequence of the confinement, the pressure tensor and the heat flux contain, in addition to the terms associated to the motion of the particles, collisional transfer contributions, similar to those that appear beyond the dilute limit. The complexity of these terms, and of the kinetic equation itself, compromise the potential of the equation to describe the rich phenomenology observed in this kind of systems. For this reason, a simpler model equation based on the Boltzmann equation is proposed. The model is formulated to keep the main properties of the underlying equation, and it is expected to provide relevant information in more general states than the original equation. As an illustration, the solution describing a macroscopic state with uniform temperature, but a density gradient perpendicular to the plates is considered. This is the equilibrium state for an elastic system, and the inhomogeneous cooling state for the case of inelastic hard spheres. The results are in good agreement with previous results obtained directly from the Boltzmann equation.Ministerio de Economía, Industria y Competitividad FIS2017-87117-PInstitute of Physics PublishingFísica Atómica, Molecular y Nuclear2020info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/104246https://doi.org/10.1088/1742-5468/ab7124reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Statistical Mechanics: Theory and Experiment, 2020 (3), 034002.FIS2017-87117-Phttp://dx.doi.org/10.1088/1742-5468/ab7124info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1042462026-06-17T12:51:07Z
dc.title.none.fl_str_mv Kinetic model for a confined quasi-two-dimensional gas of inelastic hard spheres
title Kinetic model for a confined quasi-two-dimensional gas of inelastic hard spheres
spellingShingle Kinetic model for a confined quasi-two-dimensional gas of inelastic hard spheres
Brey Abalo, José Javier
Boltzmann equation
Kinetic theory of gases and liquids
Transport properties
title_short Kinetic model for a confined quasi-two-dimensional gas of inelastic hard spheres
title_full Kinetic model for a confined quasi-two-dimensional gas of inelastic hard spheres
title_fullStr Kinetic model for a confined quasi-two-dimensional gas of inelastic hard spheres
title_full_unstemmed Kinetic model for a confined quasi-two-dimensional gas of inelastic hard spheres
title_sort Kinetic model for a confined quasi-two-dimensional gas of inelastic hard spheres
dc.creator.none.fl_str_mv Brey Abalo, José Javier
Maynar Blanco, Pablo
García de Soria Lucena, María Isabel
author Brey Abalo, José Javier
author_facet Brey Abalo, José Javier
Maynar Blanco, Pablo
García de Soria Lucena, María Isabel
author_role author
author2 Maynar Blanco, Pablo
García de Soria Lucena, María Isabel
author2_role author
author
dc.contributor.none.fl_str_mv Física Atómica, Molecular y Nuclear
dc.subject.none.fl_str_mv Boltzmann equation
Kinetic theory of gases and liquids
Transport properties
topic Boltzmann equation
Kinetic theory of gases and liquids
Transport properties
description The local balance equations for the density, momentum, and energy of a dilute gas of elastic or inelastic hard spheres, strongly confined between two parallel hard plates are obtained. The starting point is a Boltzmann-like kinetic equation, recently derived for this system. As a consequence of the confinement, the pressure tensor and the heat flux contain, in addition to the terms associated to the motion of the particles, collisional transfer contributions, similar to those that appear beyond the dilute limit. The complexity of these terms, and of the kinetic equation itself, compromise the potential of the equation to describe the rich phenomenology observed in this kind of systems. For this reason, a simpler model equation based on the Boltzmann equation is proposed. The model is formulated to keep the main properties of the underlying equation, and it is expected to provide relevant information in more general states than the original equation. As an illustration, the solution describing a macroscopic state with uniform temperature, but a density gradient perpendicular to the plates is considered. This is the equilibrium state for an elastic system, and the inhomogeneous cooling state for the case of inelastic hard spheres. The results are in good agreement with previous results obtained directly from the Boltzmann equation.
publishDate 2020
dc.date.none.fl_str_mv 2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/104246
https://doi.org/10.1088/1742-5468/ab7124
url https://hdl.handle.net/11441/104246
https://doi.org/10.1088/1742-5468/ab7124
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Statistical Mechanics: Theory and Experiment, 2020 (3), 034002.
FIS2017-87117-P
http://dx.doi.org/10.1088/1742-5468/ab7124
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Institute of Physics Publishing
publisher.none.fl_str_mv Institute of Physics Publishing
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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