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On Viscous Flow in Glass-Forming Organic Liquids
The two-exponential Sheffield equation of viscosity η(T) = A(1)·T·[1 + A(2)·exp(H(m)/RT)]·[1 + C·exp(H(d)/RT)], where A(1), A(2), H(m), C, and H(m) are material-specific constants, is used to analyze the viscous flows of two glass-forming organic materials—salol and α-phenyl-o-cresol. It is demonstr...
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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MDPI
2020
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7504771/ https://www.ncbi.nlm.nih.gov/pubmed/32899408 http://dx.doi.org/10.3390/molecules25174029 |
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author | Ojovan, Michael I. |
author_facet | Ojovan, Michael I. |
author_sort | Ojovan, Michael I. |
collection | PubMed |
description | The two-exponential Sheffield equation of viscosity η(T) = A(1)·T·[1 + A(2)·exp(H(m)/RT)]·[1 + C·exp(H(d)/RT)], where A(1), A(2), H(m), C, and H(m) are material-specific constants, is used to analyze the viscous flows of two glass-forming organic materials—salol and α-phenyl-o-cresol. It is demonstrated that the viscosity equation can be simplified to a four-parameter version: η(T) = A·T·exp(H(m)/RT)]·[1 + C·exp(H(d)/RT)]. The Sheffield model gives a correct description of viscosity, with two exact Arrhenius-type asymptotes below and above the glass transition temperature, whereas near the T(g) it gives practically the same results as well-known and widely used viscosity equations. It is revealed that the constants of the Sheffield equation are not universal for all temperature ranges and may need to be updated for very high temperatures, where changes occur in melt properties leading to modifications of A and H(m) for both salol and α-phenyl-o-cresol. |
format | Online Article Text |
id | pubmed-7504771 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2020 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-75047712020-09-26 On Viscous Flow in Glass-Forming Organic Liquids Ojovan, Michael I. Molecules Article The two-exponential Sheffield equation of viscosity η(T) = A(1)·T·[1 + A(2)·exp(H(m)/RT)]·[1 + C·exp(H(d)/RT)], where A(1), A(2), H(m), C, and H(m) are material-specific constants, is used to analyze the viscous flows of two glass-forming organic materials—salol and α-phenyl-o-cresol. It is demonstrated that the viscosity equation can be simplified to a four-parameter version: η(T) = A·T·exp(H(m)/RT)]·[1 + C·exp(H(d)/RT)]. The Sheffield model gives a correct description of viscosity, with two exact Arrhenius-type asymptotes below and above the glass transition temperature, whereas near the T(g) it gives practically the same results as well-known and widely used viscosity equations. It is revealed that the constants of the Sheffield equation are not universal for all temperature ranges and may need to be updated for very high temperatures, where changes occur in melt properties leading to modifications of A and H(m) for both salol and α-phenyl-o-cresol. MDPI 2020-09-03 /pmc/articles/PMC7504771/ /pubmed/32899408 http://dx.doi.org/10.3390/molecules25174029 Text en © 2020 by the author. 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 Ojovan, Michael I. On Viscous Flow in Glass-Forming Organic Liquids |
title | On Viscous Flow in Glass-Forming Organic Liquids |
title_full | On Viscous Flow in Glass-Forming Organic Liquids |
title_fullStr | On Viscous Flow in Glass-Forming Organic Liquids |
title_full_unstemmed | On Viscous Flow in Glass-Forming Organic Liquids |
title_short | On Viscous Flow in Glass-Forming Organic Liquids |
title_sort | on viscous flow in glass-forming organic liquids |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7504771/ https://www.ncbi.nlm.nih.gov/pubmed/32899408 http://dx.doi.org/10.3390/molecules25174029 |
work_keys_str_mv | AT ojovanmichaeli onviscousflowinglassformingorganicliquids |