Interrelationships of Pressure-Dependent Hole Fraction and Elongational Viscosity in Polymer Melts

The elongational flow behavior of polyethylene, polypropylene, polystyrene, poly(methyl methacrylate), and polycarbonate, temperatures from 70 to 290 °C and pressures up to 70 MPa, is examined with the Yahsi-Dinc-Tav (YDT) model and its particular case known as the Cross model. The viscosity data em...

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Main Authors: Fatma Sahin-Dinc, Ugur Yahsi, Tomas Sedlacek
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Advances in Polymer Technology
Online Access:http://dx.doi.org/10.1155/2019/9493769
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author Fatma Sahin-Dinc
Ugur Yahsi
Tomas Sedlacek
author_facet Fatma Sahin-Dinc
Ugur Yahsi
Tomas Sedlacek
author_sort Fatma Sahin-Dinc
collection DOAJ
description The elongational flow behavior of polyethylene, polypropylene, polystyrene, poly(methyl methacrylate), and polycarbonate, temperatures from 70 to 290 °C and pressures up to 70 MPa, is examined with the Yahsi-Dinc-Tav (YDT) model and its particular case known as the Cross model. The viscosity data employed in the range of 3-405 s-1 elongational rates were acquired from the literature at ambient and elevated pressures. The predictions and the fitting results of the proposed YDT model with the same measurement data are compared with the Cross model. The average absolute deviations of the viscosities predicted by the YDT model range from 0.54% to 9.44% at ambient and 1.95% to 6.28% at high pressures. Additionally, the linear formulations derived from the YDT model are employed to relate the viscosity with temperature and hole fraction (“thermooccupancy” function) at zero level of elongational rate and constant elongational rate along with constant elongational stress. The effects of the four viscosity parameters (such as transmission and activation energy coefficients in these equations) on the elongational viscosity are analyzed in detail and some conclusions on the structural differences for the polymers are discussed.
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series Advances in Polymer Technology
spelling doaj-art-b24263d4216f4be8a83fad4d51f70a002025-08-20T03:39:26ZengWileyAdvances in Polymer Technology0730-66791098-23292019-01-01201910.1155/2019/94937699493769Interrelationships of Pressure-Dependent Hole Fraction and Elongational Viscosity in Polymer MeltsFatma Sahin-Dinc0Ugur Yahsi1Tomas Sedlacek2Karadeniz Technical University, Surmene Abdullah Kanca Vocational School, Machinery and Metal Technologies, Machinery Department, 61530 Camburnu, Surmene, Trabzon, TurkeyPhysics Department, Faculty of Arts and Sciences, Marmara University, Goztepe Campus, 34722 Kadikoy, Istanbul, TurkeyDepartment of Polymer Engineering, Faculty of Technology, Tomas Bata University in Zlin, Zlin, Czech RepublicThe elongational flow behavior of polyethylene, polypropylene, polystyrene, poly(methyl methacrylate), and polycarbonate, temperatures from 70 to 290 °C and pressures up to 70 MPa, is examined with the Yahsi-Dinc-Tav (YDT) model and its particular case known as the Cross model. The viscosity data employed in the range of 3-405 s-1 elongational rates were acquired from the literature at ambient and elevated pressures. The predictions and the fitting results of the proposed YDT model with the same measurement data are compared with the Cross model. The average absolute deviations of the viscosities predicted by the YDT model range from 0.54% to 9.44% at ambient and 1.95% to 6.28% at high pressures. Additionally, the linear formulations derived from the YDT model are employed to relate the viscosity with temperature and hole fraction (“thermooccupancy” function) at zero level of elongational rate and constant elongational rate along with constant elongational stress. The effects of the four viscosity parameters (such as transmission and activation energy coefficients in these equations) on the elongational viscosity are analyzed in detail and some conclusions on the structural differences for the polymers are discussed.http://dx.doi.org/10.1155/2019/9493769
spellingShingle Fatma Sahin-Dinc
Ugur Yahsi
Tomas Sedlacek
Interrelationships of Pressure-Dependent Hole Fraction and Elongational Viscosity in Polymer Melts
Advances in Polymer Technology
title Interrelationships of Pressure-Dependent Hole Fraction and Elongational Viscosity in Polymer Melts
title_full Interrelationships of Pressure-Dependent Hole Fraction and Elongational Viscosity in Polymer Melts
title_fullStr Interrelationships of Pressure-Dependent Hole Fraction and Elongational Viscosity in Polymer Melts
title_full_unstemmed Interrelationships of Pressure-Dependent Hole Fraction and Elongational Viscosity in Polymer Melts
title_short Interrelationships of Pressure-Dependent Hole Fraction and Elongational Viscosity in Polymer Melts
title_sort interrelationships of pressure dependent hole fraction and elongational viscosity in polymer melts
url http://dx.doi.org/10.1155/2019/9493769
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AT uguryahsi interrelationshipsofpressuredependentholefractionandelongationalviscosityinpolymermelts
AT tomassedlacek interrelationshipsofpressuredependentholefractionandelongationalviscosityinpolymermelts