On the evaluation of some differential formulations for the pom-pom constitutive model

Clemeur, Nicolas, Rutgers, Rulande P. and Debbaut, Benoît (2003) On the evaluation of some differential formulations for the pom-pom constitutive model. Rheologica Acta, 42 3: 217-231. doi:10.1007/s00397-002-0279-2


Author Clemeur, Nicolas
Rutgers, Rulande P.
Debbaut, Benoît
Title On the evaluation of some differential formulations for the pom-pom constitutive model
Journal name Rheologica Acta   Check publisher's open access policy
ISSN 0035-4511
Publication date 2003
Sub-type Article (original research)
DOI 10.1007/s00397-002-0279-2
Volume 42
Issue 3
Start page 217
End page 231
Total pages 15
Place of publication USA
Publisher Springer-Verlag
Collection year 2003
Language eng
Subject C1
291401 Polymers
670705 Plastic products (incl. construction materials)
Abstract In recent years, progress has been made in modelling long chain branched polymers by the introduction of the so-called pompom model. Initially developed by McLeish and Larson (1998), the model has undergone several improvements or alterations, leading to the development of new formulations. Some of these formulations however suffer from certain mathematical defects. The purpose of the present paper is to review some of the formulations of the pom-pom constitutive model, and to investigate their possible mathematical defects. Next, an alternative formulation is proposed, which does not appear to exhibit mathematical defects, and we explore its modelling performance by comparing the predictions with experiments in non-trivial rheometric flows of an LDPE melt. The selected rheometric flows are the double step strain, as well as the large amplitude oscillatory shear experiments. For LAOS experiments, the comparison involves the use of Fourier-transform analysis.
Keyword Mechanics
Viscoelastic Constitutive Equations
Pom-pom Model
Dcpp
Reverse Multi-step
Laos
Second Normal Stress Difference
Branched Polymer Melts
Fourier-transform Rheology
Viscoelastic Fluids
Elongational Rheometer
Numerical-simulation
Density Polyethylene
Secondary Motions
Stress-relaxation
Shear Flows
Equations
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Chemical Engineering Publications
2004 Higher Education Research Data Collection
 
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Created: Wed, 15 Aug 2007, 01:47:20 EST