Cargando…
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...
Autores principales: | , |
---|---|
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 |
_version_ | 1783587007248728064 |
---|---|
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. |
format | Online Article Text |
id | pubmed-7516463 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
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 |
work_keys_str_mv | AT delalibensahyaw solidificationmorphologyandbifurcationpredictionswiththemaximumentropyproductionratemodel AT sekharja solidificationmorphologyandbifurcationpredictionswiththemaximumentropyproductionratemodel |