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Solidification Morphology and Bifurcation Predictions with the Maximum Entropy Production Rate Model

The use of the principle of maximum entropy generation per unit volume is a new approach in materials science that has implications for understanding the morphological evolution during solid–liquid interface growth, including bifurcations with or without diffuseness. A review based on a pre-publicat...

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Detalles Bibliográficos
Autores principales: Delali Bensah, Yaw, Sekhar, J. A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7516463/
https://www.ncbi.nlm.nih.gov/pubmed/33285815
http://dx.doi.org/10.3390/e22010040
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author Delali Bensah, Yaw
Sekhar, J. A.
author_facet Delali Bensah, Yaw
Sekhar, J. A.
author_sort Delali Bensah, Yaw
collection PubMed
description The use of the principle of maximum entropy generation per unit volume is a new approach in materials science that has implications for understanding the morphological evolution during solid–liquid interface growth, including bifurcations with or without diffuseness. A review based on a pre-publication arXiv preprint is first presented. A detailed comparison with experimental observations indicates that the Maximum Entropy Production Rate-density model (MEPR) can correctly predict bifurcations for dilute alloys during solidification. The model predicts a critical diffuseness of the interface at which a plane-front or any other form of diffuse interface will become unstable. A further confidence test for the model is offered in this article by comparing the predicted liquid diffusion coefficients to those obtained experimentally. A comparison of the experimentally determined solute diffusion constant in dilute binary Pb–Sn alloys with those predicted by the various solidification instability models (1953–2011) is additionally discussed. A good predictability is noted for the MEPR model when the interface diffuseness is small. In comparison, the more traditional interface break-down models have low predictiveness.
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spelling pubmed-75164632020-11-09 Solidification Morphology and Bifurcation Predictions with the Maximum Entropy Production Rate Model Delali Bensah, Yaw Sekhar, J. A. Entropy (Basel) Article The use of the principle of maximum entropy generation per unit volume is a new approach in materials science that has implications for understanding the morphological evolution during solid–liquid interface growth, including bifurcations with or without diffuseness. A review based on a pre-publication arXiv preprint is first presented. A detailed comparison with experimental observations indicates that the Maximum Entropy Production Rate-density model (MEPR) can correctly predict bifurcations for dilute alloys during solidification. The model predicts a critical diffuseness of the interface at which a plane-front or any other form of diffuse interface will become unstable. A further confidence test for the model is offered in this article by comparing the predicted liquid diffusion coefficients to those obtained experimentally. A comparison of the experimentally determined solute diffusion constant in dilute binary Pb–Sn alloys with those predicted by the various solidification instability models (1953–2011) is additionally discussed. A good predictability is noted for the MEPR model when the interface diffuseness is small. In comparison, the more traditional interface break-down models have low predictiveness. MDPI 2019-12-26 /pmc/articles/PMC7516463/ /pubmed/33285815 http://dx.doi.org/10.3390/e22010040 Text en © 2019 by the authors. 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 (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Delali Bensah, Yaw
Sekhar, J. A.
Solidification Morphology and Bifurcation Predictions with the Maximum Entropy Production Rate Model
title Solidification Morphology and Bifurcation Predictions with the Maximum Entropy Production Rate Model
title_full Solidification Morphology and Bifurcation Predictions with the Maximum Entropy Production Rate Model
title_fullStr Solidification Morphology and Bifurcation Predictions with the Maximum Entropy Production Rate Model
title_full_unstemmed Solidification Morphology and Bifurcation Predictions with the Maximum Entropy Production Rate Model
title_short Solidification Morphology and Bifurcation Predictions with the Maximum Entropy Production Rate Model
title_sort solidification morphology and bifurcation predictions with the maximum entropy production rate model
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7516463/
https://www.ncbi.nlm.nih.gov/pubmed/33285815
http://dx.doi.org/10.3390/e22010040
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