Differential viscoelastic constitutive equations for polymer melts in steady shear and elongational flows

Journal of Non-Newtonian Fluid Mechanics

Volumn 113, Issue 2-3, 2003, Pages 209-227

  Zatloukal, Martin ^a  

^a TOMAS BATA UNIVERSITY IN ZLIN   (Czech Republic)

Author keywords

EXtended Pom Pom model; First normal stress coefficient; Modified Leonov model; Modified White Metzner model; Shear viscosity; Uniaxial extensional viscosity

Indexed keywords

MATHEMATICAL MODELS; MELTING; NON NEWTONIAN FLOW; POLYMERS; RHEOMETERS; STRESS RELAXATION; VISCOELASTICITY; VISCOSITY;

ELONGATIONAL FLOWS;

SHEAR FLOW;

MATHEMATICAL ANALYSIS; MELTING; MODELING; POLYMER; VISCOELASTIC FLOW;

EID: 2442574517     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0257(03)00112-5     Document Type: Article

References (32)

1. R.B. Bird, R.C. Armstrong, O. Hassager, Dynamics of Polymeric Liquids, vol. 1, Wiley, New York, 1987.
2. D.V. Boger, K. Walters, Rheological Phenomena in Focus, Elsevier, Amsterdam, 1993.
3. R.I. Tanner, Engineering Rheology, Oxford University Press, New York, 2000.
4. C.W. Macosko, Rheology: Principles, Measurements, and Applications, VCH, New York, 1994.
5. Verbeeten W.M.H.Peters G.W.M.Baaijens F.P.T.Differential constitutive equations for polymer melts: the eXtended Pom-Pom model J. Rheol. 45 2001 823
6. Barnes H.A.Roberts G.P.A simple empirical model describing the steady-state shear and extensional viscosities of polymer melts J. Non-Newtonian Fluid Mech. 44 1992 113
7. Leonov A.I.Nonequilibrium thermodynamics and rheology of viscoelastic polymer media Rheol. Acta 15 1976 85
8. Leonov A.I.Lipkina E.H.Paskhin E.D.Prokunin A.N.Theoretical and experimental investigation of shearing in elastic polymer liquids Rheol. Acta 15 1976 411
9. Leonov A.I.Prokunin A.N.An improved simple version of a non-linear theory of elasto-viscous polymer media Rheol. Acta 19 1980 393
10. Leonov A.I.Prokunin A.N.On non-linear effects in the extensional flow of polymeric liquids Rheol. Acta 22 1983 137
11. Kwon Y.Leonov A.I.Stability constraints in the formulation of viscoelastic constitutive equations J. Non-Newtonian Fluid Mech. 58 1995 25
12. A.I. Leonov, A.N. Prokunin, Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids, Chapman - Hall, New York, 1994.
13. Simhambhatla M.Leonov A.I.On the rheological modeling of viscoelastic polymer liquids with stable constitutive-equations Rheol. Acta 34 1995 259
14. Larson R.G.Elongational-flow predictions of the Leonov constitutive equation Rheol. Acta 22 1983 435
15. R.I. Tanner, in: A.A. Collyer, D.W. Clegg (Eds.), Rheological Measurements, vol. 93, Elsevier, New York, 1988.
16. A.I. Leonov, in: D.A. Siginer, D. De Kee, R.P. Chhabra (Eds.), Advances in the Flow and Rheology of Non-Newtonian Fluids (Part A), Elsevier, New York, 1999.
17. Laun H.M.Prediction of elastic strains of polymer melts in shear and elongation J. Rheol. 30 1986 459
18. Giesekus H.A simple constitutive equation for polymer fluids based on the concept of deformation-dependent tensorial mobility J. Non-Newtonian Fluid Mech. 11 1982 69
19. Thien N.P.Tanner R.I.A new constitutive equation derived from network theory J. Non-Newtonian Fluid Mech. 2 1977 353
20. Thien N.P.A nonlinear network viscoelastic model J. Rheol. 22 1978 259
21. Larson R.G.Constitutive equation for polymer melts based on partially extending strand convection J. Rheol 28 1984 545
22. Laun H.M.Münstedt H.Elongational behaviour of a low density polyethylene melt Rheol. Acta 17 1978 415
23. Münstedt H.Laun H.M.Elongational behaviour of a low density polyethylene melt II Rheol. Acta 18 1979 492
24. McLeish T.C.B.Larson R.G.Molecular constitutive equations for a class of branched polymers: the Pom-Pom polymer J. Rheol. 42 1998 81
25. Blackwell R.J.McLeish T.C.B.Harlen O.G.Molecular drag-strain coupling in branched polymer melts J. Rheol. 44 2000 121
26. Inkson N.J.McLeish T.C.B.Harlen O.G.Groves D.J.Predicting low density polyethylene melt rheology in elongational and shear flows with "Pom-Pom" constitutive equations J. Rheol. 43 1999 873
27. T. Sedlacek, M. Zatloukal, P. Filip, P. Saha, On the effect of pressure on the shear and elongational viscosities of polymer melts, Polym. Eng. Sci., submitted for publication in 2003.
28. Zatloukal M.Vlcek J.Tzoganakis C.Saha P.Improvement in techniques for the determination of extensional rheological data from entrance flows: computational and experimental analysis J. Non-Newtonian Fluid Mech. 107 2002 13
29. C.D. Han, Rheology in Polymer Processing, Academic Press, New York, Chapter 5, 1976.
30. C.D. Han, in: A.A. Collyer, D.W. Clegg (Eds.), Techniques in Rheological Measurements, Chapman - Hall, London, 1998 (Chapter 6).
31. Cogswell F.N.Converging flow of polymer melts in extrusion dies Polym. Eng. Sci. 121 1972 64
32. F.A. Morrison, Understanding Rheology, Oxdord University Press, New York, 2001.