Evaluation of the Use of a Semi-hyperbolic Die for Measuring Elongational Viscosity of Polymer Melts

The semi-hyperbolic (SHPB) die with and possibly without wall lubrication has been proposed as a device for measuring the elongational viscosity of polymeric fluids. Using numerical simulation under the condition of complete wall slip, it was found for two polyethylenes (LDPE and LLDPE) that the cal...

Full description

Bibliographic Details
Main Authors: Baird Donald G., Chan Tung W., McGrady Christopher, Mazahir Syed M.
Format: Article
Language:English
Published: De Gruyter 2010-06-01
Series:Applied Rheology
Subjects:
Online Access:https://doi.org/10.3933/applrheol-20-34900
_version_ 1818664807277002752
author Baird Donald G.
Chan Tung W.
McGrady Christopher
Mazahir Syed M.
author_facet Baird Donald G.
Chan Tung W.
McGrady Christopher
Mazahir Syed M.
author_sort Baird Donald G.
collection DOAJ
description The semi-hyperbolic (SHPB) die with and possibly without wall lubrication has been proposed as a device for measuring the elongational viscosity of polymeric fluids. Using numerical simulation under the condition of complete wall slip, it was found for two polyethylenes (LDPE and LLDPE) that the calculated elongational viscosity values agreed well with strain-averaged values, <ƞe>, obtained from independent measurements in stretching type rheometers. This is in agreement with the original hypothesis of Everage and Ballman (E-B). Numerical simulations showed that the Baird and Huang (B-H) approach for calculating <ƞe>, which accounts for the shear stress due to geometric considerations in the presence of complete slip, agreed with data better than did the E-B approach. Numerical simulations using varying degrees of wall slip indicated that reasonable values of <ƞe> could be obtained using the B-H approach with wall slip levels which could be most likely reached using a coating such as a flouroelastomer. The numerical simulations provided an explanation as to why the elongational viscosity values determined in the SHPB die for resins such as LDPE, which are extensional-strain hardening, are less sensitive to wall slip than non-strain-hardening resins such as LLDPE.
first_indexed 2024-12-17T05:38:36Z
format Article
id doaj.art-f15799f71976437ea12537bcf7bc35d7
institution Directory Open Access Journal
issn 1617-8106
language English
last_indexed 2024-12-17T05:38:36Z
publishDate 2010-06-01
publisher De Gruyter
record_format Article
series Applied Rheology
spelling doaj.art-f15799f71976437ea12537bcf7bc35d72022-12-21T22:01:33ZengDe GruyterApplied Rheology1617-81062010-06-0120310.3933/applrheol-20-34900Evaluation of the Use of a Semi-hyperbolic Die for Measuring Elongational Viscosity of Polymer MeltsBaird Donald G.0Chan Tung W.1McGrady Christopher2Mazahir Syed M.3Department of Chemical Engineering, Virginia Polytechnic Institute and State University,Blacksburg, USADepartment of Chemical Engineering, Virginia Polytechnic Institute and State University,Blacksburg, USADepartment of Chemical Engineering, Virginia Polytechnic Institute and State University,Blacksburg, USADepartment of Chemical Engineering, Virginia Polytechnic Institute and State University,Blacksburg, USAThe semi-hyperbolic (SHPB) die with and possibly without wall lubrication has been proposed as a device for measuring the elongational viscosity of polymeric fluids. Using numerical simulation under the condition of complete wall slip, it was found for two polyethylenes (LDPE and LLDPE) that the calculated elongational viscosity values agreed well with strain-averaged values, <ƞe>, obtained from independent measurements in stretching type rheometers. This is in agreement with the original hypothesis of Everage and Ballman (E-B). Numerical simulations showed that the Baird and Huang (B-H) approach for calculating <ƞe>, which accounts for the shear stress due to geometric considerations in the presence of complete slip, agreed with data better than did the E-B approach. Numerical simulations using varying degrees of wall slip indicated that reasonable values of <ƞe> could be obtained using the B-H approach with wall slip levels which could be most likely reached using a coating such as a flouroelastomer. The numerical simulations provided an explanation as to why the elongational viscosity values determined in the SHPB die for resins such as LDPE, which are extensional-strain hardening, are less sensitive to wall slip than non-strain-hardening resins such as LLDPE.https://doi.org/10.3933/applrheol-20-34900numerical simulationphan-thien and tanner modelsemi-hyperbolic dieextensional rheometersstrain-averaged elongational viscositypolyethylene
spellingShingle Baird Donald G.
Chan Tung W.
McGrady Christopher
Mazahir Syed M.
Evaluation of the Use of a Semi-hyperbolic Die for Measuring Elongational Viscosity of Polymer Melts
Applied Rheology
numerical simulation
phan-thien and tanner model
semi-hyperbolic die
extensional rheometers
strain-averaged elongational viscosity
polyethylene
title Evaluation of the Use of a Semi-hyperbolic Die for Measuring Elongational Viscosity of Polymer Melts
title_full Evaluation of the Use of a Semi-hyperbolic Die for Measuring Elongational Viscosity of Polymer Melts
title_fullStr Evaluation of the Use of a Semi-hyperbolic Die for Measuring Elongational Viscosity of Polymer Melts
title_full_unstemmed Evaluation of the Use of a Semi-hyperbolic Die for Measuring Elongational Viscosity of Polymer Melts
title_short Evaluation of the Use of a Semi-hyperbolic Die for Measuring Elongational Viscosity of Polymer Melts
title_sort evaluation of the use of a semi hyperbolic die for measuring elongational viscosity of polymer melts
topic numerical simulation
phan-thien and tanner model
semi-hyperbolic die
extensional rheometers
strain-averaged elongational viscosity
polyethylene
url https://doi.org/10.3933/applrheol-20-34900
work_keys_str_mv AT bairddonaldg evaluationoftheuseofasemihyperbolicdieformeasuringelongationalviscosityofpolymermelts
AT chantungw evaluationoftheuseofasemihyperbolicdieformeasuringelongationalviscosityofpolymermelts
AT mcgradychristopher evaluationoftheuseofasemihyperbolicdieformeasuringelongationalviscosityofpolymermelts
AT mazahirsyedm evaluationoftheuseofasemihyperbolicdieformeasuringelongationalviscosityofpolymermelts