Numerical simulations of annular extrudate swell of polymer melts

Yasuhiko Otsuki, Toshihisa Kajiwara, Kazumori Funatsu

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

Numerical vlscoelastic simulations were carried out using a K-BKZ type of separable integral constitutive equation. Both reversible and irreversible models were tried for several types of damping functions to calculate the annular extrudate behavior of high-density polyethylene (HDPE). There are two aims in this study; first, to clarify the properties of these dumping functions, and second, to investigate the influence of rheological characteristics on annular extrudate swell. In these numerical simulations, relaxation spectrum and shear viscosity were fixed, and the other characteristics were varied. The reversional response of the damping function mainly has an effect on the magnitude of the area swell even if the die is straight. The irreversible model expresses the experimental results of annular extrudate swell better than the reversible model. The accurate fitting of N1 by the damping model is important for predicting it. The magnitude of N1 predicted from the Wagner exponential model is lower than that of the PSM model, and the area swell shows the same tendency as N1. A modified PSM model that allows the N1 curve to shift can fit the magnitude of area swell. The relationship between the diameter and thickness of the extrudate depends on N2 / N1, and it was estimated by simple linear elasticity of solids. The time-dependent viscosity varies with the type of damping function, and it influences the time-dependent swell.

Original languageEnglish
Pages (from-to)1171-1181
Number of pages11
JournalPolymer Engineering and Science
Volume37
Issue number7
DOIs
Publication statusPublished - Jan 1 1997

Fingerprint

Polymer melts
Computer simulation
Damping
Shear viscosity
Polyethylene
High density polyethylenes
Constitutive equations
Elasticity
Viscosity

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Polymers and Plastics
  • Materials Chemistry

Cite this

Numerical simulations of annular extrudate swell of polymer melts. / Otsuki, Yasuhiko; Kajiwara, Toshihisa; Funatsu, Kazumori.

In: Polymer Engineering and Science, Vol. 37, No. 7, 01.01.1997, p. 1171-1181.

Research output: Contribution to journalArticle

Otsuki, Yasuhiko ; Kajiwara, Toshihisa ; Funatsu, Kazumori. / Numerical simulations of annular extrudate swell of polymer melts. In: Polymer Engineering and Science. 1997 ; Vol. 37, No. 7. pp. 1171-1181.
@article{109f545481f94fb889a7c1dd2a0fc651,
title = "Numerical simulations of annular extrudate swell of polymer melts",
abstract = "Numerical vlscoelastic simulations were carried out using a K-BKZ type of separable integral constitutive equation. Both reversible and irreversible models were tried for several types of damping functions to calculate the annular extrudate behavior of high-density polyethylene (HDPE). There are two aims in this study; first, to clarify the properties of these dumping functions, and second, to investigate the influence of rheological characteristics on annular extrudate swell. In these numerical simulations, relaxation spectrum and shear viscosity were fixed, and the other characteristics were varied. The reversional response of the damping function mainly has an effect on the magnitude of the area swell even if the die is straight. The irreversible model expresses the experimental results of annular extrudate swell better than the reversible model. The accurate fitting of N1 by the damping model is important for predicting it. The magnitude of N1 predicted from the Wagner exponential model is lower than that of the PSM model, and the area swell shows the same tendency as N1. A modified PSM model that allows the N1 curve to shift can fit the magnitude of area swell. The relationship between the diameter and thickness of the extrudate depends on N2 / N1, and it was estimated by simple linear elasticity of solids. The time-dependent viscosity varies with the type of damping function, and it influences the time-dependent swell.",
author = "Yasuhiko Otsuki and Toshihisa Kajiwara and Kazumori Funatsu",
year = "1997",
month = "1",
day = "1",
doi = "10.1002/pen.11761",
language = "English",
volume = "37",
pages = "1171--1181",
journal = "Polymer Engineering and Science",
issn = "0032-3888",
publisher = "John Wiley and Sons Inc.",
number = "7",

}

TY - JOUR

T1 - Numerical simulations of annular extrudate swell of polymer melts

AU - Otsuki, Yasuhiko

AU - Kajiwara, Toshihisa

AU - Funatsu, Kazumori

PY - 1997/1/1

Y1 - 1997/1/1

N2 - Numerical vlscoelastic simulations were carried out using a K-BKZ type of separable integral constitutive equation. Both reversible and irreversible models were tried for several types of damping functions to calculate the annular extrudate behavior of high-density polyethylene (HDPE). There are two aims in this study; first, to clarify the properties of these dumping functions, and second, to investigate the influence of rheological characteristics on annular extrudate swell. In these numerical simulations, relaxation spectrum and shear viscosity were fixed, and the other characteristics were varied. The reversional response of the damping function mainly has an effect on the magnitude of the area swell even if the die is straight. The irreversible model expresses the experimental results of annular extrudate swell better than the reversible model. The accurate fitting of N1 by the damping model is important for predicting it. The magnitude of N1 predicted from the Wagner exponential model is lower than that of the PSM model, and the area swell shows the same tendency as N1. A modified PSM model that allows the N1 curve to shift can fit the magnitude of area swell. The relationship between the diameter and thickness of the extrudate depends on N2 / N1, and it was estimated by simple linear elasticity of solids. The time-dependent viscosity varies with the type of damping function, and it influences the time-dependent swell.

AB - Numerical vlscoelastic simulations were carried out using a K-BKZ type of separable integral constitutive equation. Both reversible and irreversible models were tried for several types of damping functions to calculate the annular extrudate behavior of high-density polyethylene (HDPE). There are two aims in this study; first, to clarify the properties of these dumping functions, and second, to investigate the influence of rheological characteristics on annular extrudate swell. In these numerical simulations, relaxation spectrum and shear viscosity were fixed, and the other characteristics were varied. The reversional response of the damping function mainly has an effect on the magnitude of the area swell even if the die is straight. The irreversible model expresses the experimental results of annular extrudate swell better than the reversible model. The accurate fitting of N1 by the damping model is important for predicting it. The magnitude of N1 predicted from the Wagner exponential model is lower than that of the PSM model, and the area swell shows the same tendency as N1. A modified PSM model that allows the N1 curve to shift can fit the magnitude of area swell. The relationship between the diameter and thickness of the extrudate depends on N2 / N1, and it was estimated by simple linear elasticity of solids. The time-dependent viscosity varies with the type of damping function, and it influences the time-dependent swell.

UR - http://www.scopus.com/inward/record.url?scp=0031193241&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031193241&partnerID=8YFLogxK

U2 - 10.1002/pen.11761

DO - 10.1002/pen.11761

M3 - Article

AN - SCOPUS:0031193241

VL - 37

SP - 1171

EP - 1181

JO - Polymer Engineering and Science

JF - Polymer Engineering and Science

SN - 0032-3888

IS - 7

ER -