Derivation of Two-Fluid Model Based on Onsager Principle

Using the Onsager variational principle, we study the dynamic coupling between the stress and the composition in a polymer solution. In the original derivation of the two-fluid model of Doi and Onuki the polymer stress was introduced a priori; therefore, a constitutive equation is required to close...

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Detalles Bibliográficos
Autores principales: Zhou, Jiajia, Doi, Masao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9141502/
https://www.ncbi.nlm.nih.gov/pubmed/35626599
http://dx.doi.org/10.3390/e24050716
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author Zhou, Jiajia
Doi, Masao
author_facet Zhou, Jiajia
Doi, Masao
author_sort Zhou, Jiajia
collection PubMed
description Using the Onsager variational principle, we study the dynamic coupling between the stress and the composition in a polymer solution. In the original derivation of the two-fluid model of Doi and Onuki the polymer stress was introduced a priori; therefore, a constitutive equation is required to close the equations. Based on our previous study of viscoelastic fluids with homogeneous composition, we start with a dumbbell model for the polymer, and derive all dynamic equations using the Onsager variational principle.
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spelling pubmed-91415022022-05-28 Derivation of Two-Fluid Model Based on Onsager Principle Zhou, Jiajia Doi, Masao Entropy (Basel) Article Using the Onsager variational principle, we study the dynamic coupling between the stress and the composition in a polymer solution. In the original derivation of the two-fluid model of Doi and Onuki the polymer stress was introduced a priori; therefore, a constitutive equation is required to close the equations. Based on our previous study of viscoelastic fluids with homogeneous composition, we start with a dumbbell model for the polymer, and derive all dynamic equations using the Onsager variational principle. MDPI 2022-05-17 /pmc/articles/PMC9141502/ /pubmed/35626599 http://dx.doi.org/10.3390/e24050716 Text en © 2022 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
Zhou, Jiajia
Doi, Masao
Derivation of Two-Fluid Model Based on Onsager Principle
title Derivation of Two-Fluid Model Based on Onsager Principle
title_full Derivation of Two-Fluid Model Based on Onsager Principle
title_fullStr Derivation of Two-Fluid Model Based on Onsager Principle
title_full_unstemmed Derivation of Two-Fluid Model Based on Onsager Principle
title_short Derivation of Two-Fluid Model Based on Onsager Principle
title_sort derivation of two-fluid model based on onsager principle
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9141502/
https://www.ncbi.nlm.nih.gov/pubmed/35626599
http://dx.doi.org/10.3390/e24050716
work_keys_str_mv AT zhoujiajia derivationoftwofluidmodelbasedononsagerprinciple
AT doimasao derivationoftwofluidmodelbasedononsagerprinciple

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