The Entropy Density Behavior across a Plane Shock Wave

Entropy density behavior poses many problems when we study non-equilibrium situations. In particular, the local equilibrium hypothesis (LEH) has played a very important role and is taken for granted in non-equilibrium problems, no matter how extreme they are. In this paper we would like to calculate...

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Detalles Bibliográficos
Autores principales: Velasco, Rosa M., Uribe, Francisco J.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10297436/
https://www.ncbi.nlm.nih.gov/pubmed/37372250
http://dx.doi.org/10.3390/e25060906
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author Velasco, Rosa M.
Uribe, Francisco J.
author_facet Velasco, Rosa M.
Uribe, Francisco J.
author_sort Velasco, Rosa M.
collection PubMed
description Entropy density behavior poses many problems when we study non-equilibrium situations. In particular, the local equilibrium hypothesis (LEH) has played a very important role and is taken for granted in non-equilibrium problems, no matter how extreme they are. In this paper we would like to calculate the Boltzmann entropy balance equation for a plane shock wave and show its performance for Grad’s 13-moment approximation and the Navier–Stokes–Fourier equations. In fact, we calculate the correction for the LEH in Grad’s case and discuss its properties.
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spelling pubmed-102974362023-06-28 The Entropy Density Behavior across a Plane Shock Wave Velasco, Rosa M. Uribe, Francisco J. Entropy (Basel) Article Entropy density behavior poses many problems when we study non-equilibrium situations. In particular, the local equilibrium hypothesis (LEH) has played a very important role and is taken for granted in non-equilibrium problems, no matter how extreme they are. In this paper we would like to calculate the Boltzmann entropy balance equation for a plane shock wave and show its performance for Grad’s 13-moment approximation and the Navier–Stokes–Fourier equations. In fact, we calculate the correction for the LEH in Grad’s case and discuss its properties. MDPI 2023-06-07 /pmc/articles/PMC10297436/ /pubmed/37372250 http://dx.doi.org/10.3390/e25060906 Text en © 2023 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Velasco, Rosa M.
Uribe, Francisco J.
The Entropy Density Behavior across a Plane Shock Wave
title The Entropy Density Behavior across a Plane Shock Wave
title_full The Entropy Density Behavior across a Plane Shock Wave
title_fullStr The Entropy Density Behavior across a Plane Shock Wave
title_full_unstemmed The Entropy Density Behavior across a Plane Shock Wave
title_short The Entropy Density Behavior across a Plane Shock Wave
title_sort entropy density behavior across a plane shock wave
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10297436/
https://www.ncbi.nlm.nih.gov/pubmed/37372250
http://dx.doi.org/10.3390/e25060906
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