On the predictive/fitting capabilities of the advanced differential constitutive equations for branched LDPE melts

Journal of Non-Newtonian Fluid Mechanics

Volumn 135, Issue 1, 2006, Pages 58-67

  Pivokonsky, Radek ^a   Zatloukal, Martin ^b   Filip, Petr ^a  

^a INSTITUTE OF HYDRODYNAMICS   (Czech Republic)

^b TOMAS BATA UNIVERSITY IN ZLIN   (Czech Republic)

Author keywords

Constitutive equations; Elongational flow; Polymer melts; Rheological models; Shear flow

Indexed keywords

DIFFERENTIAL EQUATIONS; RHEOLOGY; SHEAR FLOW; VISCOSITY;

CONSTITUTIVE EQUATIONS; ELONGATIONAL FLOWS; NORMAL STRESS COEFFICIENTS; POLYMER MELTS; RHEOLOGICAL MODELS;

LOW DENSITY POLYETHYLENES;

DIFFERENTIAL EQUATIONS; LOW DENSITY POLYETHYLENES; RHEOLOGY; SHEAR FLOW; VISCOSITY;

EID: 33645066108     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2006.01.001     Document Type: Article

References (21)

1. A.I. Leonov A.N. Prokunin Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids 1994 Chapman and Hall New York
2. M. Zatloukal Differential viscoelastic constitutive equations for polymer melts in steady shear and elongational flows J. Non-Newtonian Fluid Mech. 11 2003 209
3. H.A. Barnes G.P. Roberts A simple empirical model describing the steady-state shear and extensional viscosities of polymer melts J. Non-Newtonian Fluid Mech. 44 1992 113
4. N. Phan-Thien R.I. Tanner A new constitutive equation derived from network theory J. Non-Newtonian Fluid Mech. 2 1977 353
5. H. Giesekus A simple constitutive equation for polymer fluids based on the concept of deformation-dependent tensorial mobility J. Non-Newtonian Fluid Mech. 11 1982 69
6. T.C.B. McLeish R.G. Larson Molecular constitutive equations for a class of branched polymers: The Pom-Pom model J. Rheol. 42 1998 81
7. W.M.H. Verbeeten G.W.M. Peters F.P.T. Baaijens Differential constitutive equations for polymer melts: The extended Pom-Pom model J. Rheol. 45 2001 823
8. R.I. Tanner S. Nasseri Simple constitutive models for linear and branched polymers J. Non-Newtonian Fluid Mech. 116 2003 1
9. R.I. Tanner A revisitation of the PTT model Y. Luo Q. Rao Y. Xu Proceedings of the Fourth Pacific RIM Conference on Rheology, Advances in Rheology and Its Applications Shanghai, 7-11 August 2005 2005 Science Press USA Inc. 45-49
10. R.G. Larson Constitutive Equations for Polymer Melts and Solutions 1988 Butterworth Publishers
11. M.L. Sentmanat Miniature universal testing platform: From extensional melt rheology to solid-state deformation behaviour Rheol. Acta 43 2004 657
12. M.L. Sentmanat, Dual wind-up extensional rheometer, US Patent No. 6,578,413 (2003).
13. M.L. Sentmanat B.N. Wang G.H. McKinley Measuring the transient extensional rheology of polyethylene melts using the SER universal testing platform J. Rheol. 49 2005 585
14. O. Hassager M.I. Kolte M. Renardy Failure and nonfailure of fluid filaments in extension J. Non-Newtonian Fluid Mech. 76 1998 137-152
15. G.H. McKinley O. Hassager The considère condition and rapid stretching of linear and branched polymer melts J. Rheol. 43 1999 1195-1212
16. C.D. Han A.A. Collyer D.W. Clegg Techniques in Rheological Measurements 1998 Chapman and Hall London (Chapter 6)
17. C.D. Han Rheology in Polymer Processing 1976 Academic Press New York (Chapter 5)
18. N.J. Inkson T.C.B. McLeish O.G. Harlen D.J. Groves Predicting low density polyethylene melt rheology in elongational and shear flows with Pom-Pom constitutive equations J. Rheol. 43 1999 873
19. B.L. Lee J.L. White An experimental study of rheological properties of polymer melts in laminar shear flow and of interface deformation and its mechanisms in two-phase stratified flow Trans. Soc. Rheol. 18 1974 467
20. B. Debbaut T. Avalosse J. Dooley K. Hughes On the development of secondary motions in straight channels induced by the second normal stress difference: Experiments and simulations J. Non-Newtonian Fluid Mech. 69 1997 255
21. B. Debbaut J. Dooley Secondary motions in straight and tapered channels: experiments and three-dimensional finite element simulation with a multimode differential viscoelastic model J. Rheol. 43 1999 1525