A Consistent BGK Model with Velocity-Dependent Collision Frequency for Gas Mixtures

We derive a multi-species BGK model with velocity-dependent collision frequency for a non-reactive, multi-component gas mixture. The model is derived by minimizing a weighted entropy under the constraint that the number of particles of each species, total momentum, and total energy are conserved. We...

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Detalles Bibliográficos
Autores principales: Haack, J., Hauck, C., Klingenberg, C., Pirner, M., Warnecke, S.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8549943/
https://www.ncbi.nlm.nih.gov/pubmed/34720185
http://dx.doi.org/10.1007/s10955-021-02821-2
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author Haack, J.
Hauck, C.
Klingenberg, C.
Pirner, M.
Warnecke, S.
author_facet Haack, J.
Hauck, C.
Klingenberg, C.
Pirner, M.
Warnecke, S.
author_sort Haack, J.
collection PubMed
description We derive a multi-species BGK model with velocity-dependent collision frequency for a non-reactive, multi-component gas mixture. The model is derived by minimizing a weighted entropy under the constraint that the number of particles of each species, total momentum, and total energy are conserved. We prove that this minimization problem admits a unique solution for very general collision frequencies. Moreover, we prove that the model satisfies an H-Theorem and characterize the form of equilibrium.
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spelling pubmed-85499432021-10-29 A Consistent BGK Model with Velocity-Dependent Collision Frequency for Gas Mixtures Haack, J. Hauck, C. Klingenberg, C. Pirner, M. Warnecke, S. J Stat Phys Article We derive a multi-species BGK model with velocity-dependent collision frequency for a non-reactive, multi-component gas mixture. The model is derived by minimizing a weighted entropy under the constraint that the number of particles of each species, total momentum, and total energy are conserved. We prove that this minimization problem admits a unique solution for very general collision frequencies. Moreover, we prove that the model satisfies an H-Theorem and characterize the form of equilibrium. Springer US 2021-09-12 2021 /pmc/articles/PMC8549943/ /pubmed/34720185 http://dx.doi.org/10.1007/s10955-021-02821-2 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Haack, J.
Hauck, C.
Klingenberg, C.
Pirner, M.
Warnecke, S.
A Consistent BGK Model with Velocity-Dependent Collision Frequency for Gas Mixtures
title A Consistent BGK Model with Velocity-Dependent Collision Frequency for Gas Mixtures
title_full A Consistent BGK Model with Velocity-Dependent Collision Frequency for Gas Mixtures
title_fullStr A Consistent BGK Model with Velocity-Dependent Collision Frequency for Gas Mixtures
title_full_unstemmed A Consistent BGK Model with Velocity-Dependent Collision Frequency for Gas Mixtures
title_short A Consistent BGK Model with Velocity-Dependent Collision Frequency for Gas Mixtures
title_sort consistent bgk model with velocity-dependent collision frequency for gas mixtures
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8549943/
https://www.ncbi.nlm.nih.gov/pubmed/34720185
http://dx.doi.org/10.1007/s10955-021-02821-2
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