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Study of Concentrated Short Fiber Suspensions in Flows, Using Topological Data Analysis
The present study addresses the discrete simulation of the flow of concentrated suspensions encountered in the forming processes involving reinforced polymers, and more particularly the statistical characterization and description of the effects of the intense fiber interaction, occurring during the...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8466080/ https://www.ncbi.nlm.nih.gov/pubmed/34573854 http://dx.doi.org/10.3390/e23091229 |
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author | Mezher, Rabih Arayro, Jack Hascoet, Nicolas Chinesta, Francisco |
author_facet | Mezher, Rabih Arayro, Jack Hascoet, Nicolas Chinesta, Francisco |
author_sort | Mezher, Rabih |
collection | PubMed |
description | The present study addresses the discrete simulation of the flow of concentrated suspensions encountered in the forming processes involving reinforced polymers, and more particularly the statistical characterization and description of the effects of the intense fiber interaction, occurring during the development of the flow induced orientation, on the fibers’ geometrical center trajectory. The number of interactions as well as the interaction intensity will depend on the fiber volume fraction and the applied shear, which should affect the stochastic trajectory. Topological data analysis (TDA) will be applied on the geometrical center trajectories of the simulated fiber to prove that a characteristic pattern can be extracted depending on the flow conditions (concentration and shear rate). This work proves that TDA allows capturing and extracting from the so-called persistence image, a pattern that characterizes the dependence of the fiber trajectory on the flow kinematics and the suspension concentration. Such a pattern could be used for classification and modeling purposes, in rheology or during processing monitoring. |
format | Online Article Text |
id | pubmed-8466080 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-84660802021-09-27 Study of Concentrated Short Fiber Suspensions in Flows, Using Topological Data Analysis Mezher, Rabih Arayro, Jack Hascoet, Nicolas Chinesta, Francisco Entropy (Basel) Article The present study addresses the discrete simulation of the flow of concentrated suspensions encountered in the forming processes involving reinforced polymers, and more particularly the statistical characterization and description of the effects of the intense fiber interaction, occurring during the development of the flow induced orientation, on the fibers’ geometrical center trajectory. The number of interactions as well as the interaction intensity will depend on the fiber volume fraction and the applied shear, which should affect the stochastic trajectory. Topological data analysis (TDA) will be applied on the geometrical center trajectories of the simulated fiber to prove that a characteristic pattern can be extracted depending on the flow conditions (concentration and shear rate). This work proves that TDA allows capturing and extracting from the so-called persistence image, a pattern that characterizes the dependence of the fiber trajectory on the flow kinematics and the suspension concentration. Such a pattern could be used for classification and modeling purposes, in rheology or during processing monitoring. MDPI 2021-09-18 /pmc/articles/PMC8466080/ /pubmed/34573854 http://dx.doi.org/10.3390/e23091229 Text en © 2021 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 Mezher, Rabih Arayro, Jack Hascoet, Nicolas Chinesta, Francisco Study of Concentrated Short Fiber Suspensions in Flows, Using Topological Data Analysis |
title | Study of Concentrated Short Fiber Suspensions in Flows, Using Topological Data Analysis |
title_full | Study of Concentrated Short Fiber Suspensions in Flows, Using Topological Data Analysis |
title_fullStr | Study of Concentrated Short Fiber Suspensions in Flows, Using Topological Data Analysis |
title_full_unstemmed | Study of Concentrated Short Fiber Suspensions in Flows, Using Topological Data Analysis |
title_short | Study of Concentrated Short Fiber Suspensions in Flows, Using Topological Data Analysis |
title_sort | study of concentrated short fiber suspensions in flows, using topological data analysis |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8466080/ https://www.ncbi.nlm.nih.gov/pubmed/34573854 http://dx.doi.org/10.3390/e23091229 |
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