Cosmological analogies, Lagrangians, and symmetries for convective–radiative heat transfer

A formal analogy between the Friedmann equation of relativistic cosmology and models of convective–radiative cooling/heating of a body (including Newton’s, Dulong–Petit’s, Newton–Stefan’s laws, and a generalization) is discussed. The analogy highlights Lagrangians, symmetries, and mathematical prope...

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Detalles Bibliográficos
Autores principales: Faraoni, Valerio, Atieh, Farah, Dussault, Steve
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2020
Materias:
Regular Article - Theoretical Physics
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7413587/
https://www.ncbi.nlm.nih.gov/pubmed/32831632
http://dx.doi.org/10.1140/epjc/s10052-020-8292-0
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author Faraoni, Valerio
Atieh, Farah
Dussault, Steve
author_facet Faraoni, Valerio
Atieh, Farah
Dussault, Steve
author_sort Faraoni, Valerio
collection PubMed
description A formal analogy between the Friedmann equation of relativistic cosmology and models of convective–radiative cooling/heating of a body (including Newton’s, Dulong–Petit’s, Newton–Stefan’s laws, and a generalization) is discussed. The analogy highlights Lagrangians, symmetries, and mathematical properties of the solutions of these cooling laws.
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spelling pubmed-74135872020-08-17 Cosmological analogies, Lagrangians, and symmetries for convective–radiative heat transfer Faraoni, Valerio Atieh, Farah Dussault, Steve Eur Phys J C Part Fields Regular Article - Theoretical Physics A formal analogy between the Friedmann equation of relativistic cosmology and models of convective–radiative cooling/heating of a body (including Newton’s, Dulong–Petit’s, Newton–Stefan’s laws, and a generalization) is discussed. The analogy highlights Lagrangians, symmetries, and mathematical properties of the solutions of these cooling laws. Springer Berlin Heidelberg 2020-08-06 2020 /pmc/articles/PMC7413587/ /pubmed/32831632 http://dx.doi.org/10.1140/epjc/s10052-020-8292-0 Text en © The Author(s) 2020 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/. Funded by SCOAP3
spellingShingle Regular Article - Theoretical Physics
Faraoni, Valerio
Atieh, Farah
Dussault, Steve
Cosmological analogies, Lagrangians, and symmetries for convective–radiative heat transfer
title Cosmological analogies, Lagrangians, and symmetries for convective–radiative heat transfer
title_full Cosmological analogies, Lagrangians, and symmetries for convective–radiative heat transfer
title_fullStr Cosmological analogies, Lagrangians, and symmetries for convective–radiative heat transfer
title_full_unstemmed Cosmological analogies, Lagrangians, and symmetries for convective–radiative heat transfer
title_short Cosmological analogies, Lagrangians, and symmetries for convective–radiative heat transfer
title_sort cosmological analogies, lagrangians, and symmetries for convective–radiative heat transfer
topic Regular Article - Theoretical Physics
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7413587/
https://www.ncbi.nlm.nih.gov/pubmed/32831632
http://dx.doi.org/10.1140/epjc/s10052-020-8292-0
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AT dussaultsteve cosmologicalanalogieslagrangiansandsymmetriesforconvectiveradiativeheattransfer

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