Matching time dependent pressure driven flows with a Rolie Poly numerical simulation

Journal of Non-Newtonian Fluid Mechanics

Volumn 136, Issue 2-3, 2006, Pages 118-125

  Valette, Rudy ^a   Mackley, Malcolm R ^b   del Castillo, Gabriela Hernandez Fernandez ^b  

^a PSL RESEARCH UNIVERSITY   (France)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Linear low density polyethylene; Multipass rheometer; Rolie Poly model; Row birefringence

Indexed keywords

BIREFRINGENCE; COMPUTER SIMULATION; FLOW OF FLUIDS; MATHEMATICAL MODELS; MOLTEN MATERIALS; POLYNOMIALS; RHEOMETERS; VISCOELASTICITY;

MOLTEN VISCOELASTIC POLYMERS; MULTIPASS RHEOMETER; ROLIE POLY NUMERICAL SIMULATION; ROW BIREFRINGENCE;

LINEAR LOW DENSITY POLYETHYLENES;

BIREFRINGENCE; COMPUTER SIMULATION; FLOW OF FLUIDS; LINEAR LOW DENSITY POLYETHYLENES; MATHEMATICAL MODELS; MOLTEN MATERIALS; POLYNOMIALS; RHEOMETERS; VISCOELASTICITY;

EID: 33744809806     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2006.03.012     Document Type: Article

References (27)

1. Yasuda K., Armstrong R.C., and Cohen R.E. Shear flow properties of concentrated solutions of linear and star branched polystyrenes. Rheol. Acta 20 (1981) 163
2. Phan-Thien N., and Tanner R.I. A new constitutive equation derived from network theory. J. Non-Newtonian Fluid Mech. 2 (1977) 353
3. Wagner M.H. Analysis of time dependent stress growth data for shear and elongational flow of a low density polyethylene. Rheol. Acta 18 (1979) 33
4. Doi M., and Edwards S.F. The Theory of Polymer Dynamics (1986), Oxford University Press, New York
5. Mead D.W., Larson R.G., and Doi M. A molecular theory for fast flows of entangled polymers. Macromolecules 31 (1998) 7895
6. Marrucci G. Dynamics of entanglements: a nonlinear model consistent with the Cox-Merz rule. J. Non-Newtonian Fluid Mech. 62 (1996) 279
7. Wagner M.H., Rubio P., and Bastian H. The molecular stress function model for polydisperse polymer melts with dissipative convective constraint release. J. Rheol. 45 (2001) 1387
8. McLeish T.C.B., and Larson R.C. Molecular constitutive equations for a class of branched polymers: the Pom-Pom polymer. J. Rheol. 42 (1998) 81
9. Mcleish T.C.B., Allgaier J., Bick D.K., Bishko G., Biswas P., Blackwell R., Blottiere B., Clarke N., Gibbs B., Groves D.J., Hakiki A., Heenan R.K., Johnson J.M., Kant R., Read D.J., and Young R.N. Dynamics of entangled H-polymers: theory, rheology, and neutron-scattering. Macromolecules 32 (1999) 6734
10. Blackwell R.J., McLeish T.C.B., and Harlen O.G. Molecular drag strain coupling in branched polymer melts. J. Rheol. 44 (2000) 121
11. Likhtman A.E., and Graham R.S. Simple constitutive equation for linear polymer melts derived from molecular theory: Rolie-Poly equation. J. Non-Newtonian Fluid Mech. 114 (2003) 1
12. Baaijens F.P.T., Hulsen M.A., and Anderson P.D. The Use of Mixed Finite Element Methods for Viscoelastic Fluid Flow Analysis, Encyclopedia of Computational Mechanic, vol. 3 Fluids (2004), John Wiley & Sons pp. 481-498
13. Verbeeten W.M.H., Peters G.W.M., and Baaijens F.P.T. Differential constitutive equations for polymer melts: the extended Pom-Pom model. J. Rheol. 45 (2001) 823
14. Hatzikiriakos S.G., and Dealy J.M. Start up transients in a capillary rheometer. Polym. Eng. Sci. 34 (1994) 493
15. Durand V.B., Vergnes B., Agassant J.-F., Benoit E., and Koopmans R.J. Experimental study and modelling of oscillatory flow in high density polyethylene. J. Rheol. 40 (1996) 383
16. Ranganathan M., Mackley M.R., and Spittler P.H.J. Experimental observations and modelling of time dependent capillary flow for a high density polyethylene using a multipass rheometer. J. Rheol. 43 (1999) 443
17. Lee K., and Mackley M.R. The application of the multi-pass rheometer for precise rheo-optic characterisation of polyethylene melts. Chem. Eng. Sci. 56 (2001) 5653
18. Ianniruberto G., and Marrucci G. A simple constitutive equation for entangled polymers with chain stretch. J. Rheol. 45 (2001) 1305
19. Wapperom P., and Hulsen M.A. Thermodynamics of viscoelastic fluids: the temperature equation. J. Rheol. 42 (1998) 999
20. Belhamadia Y., Fortin A., and Chamberland E. Anisotropic mesh adaptation for the solution of the Stefan problem. J. Comput. Phys. 194 (2004) 233
21. Keshtiban I.J., Belblidia F., and Webster M.F. Numerical simulation of compressible viscoelastic liquids. J. Non-Newtonian Fluid Mech. 122 (2004) 131
22. Webster M.F., Keshtiban I.J., and Belblidia F. Computation of weakly compressible highly-viscous liquid flows. Eng. Comput. 21 (2004) 777
23. Keshtiban I.J., Belblidia F., and Webster M.F. Computation of incompressible and weakly-compressible viscoelastic liquids flow: finite element/volume schemes. J. Non-Newtonian Fluid Mech. 126 (2005) 123
24. Ervin V.J., and Miles W.W. Approximation of time-dependent viscoelastic fluid flow: SUPG approximation. SIAM J. Numer. Anal. 41 (2003) 457
25. Lee K., and Mackley M.R. The significance of slip in matching polyethylene processing data with numerical simulation. J. Non-Newtonian Fluid Mech. 94 (2000) 159
26. Clemeur N., Rutgers R.P.G., and Debbaut B. Numerical evaluation of three-dimensional effects in planar flow birefringence. J. Non-Newtonian Fluid Mech. 123 (2004) 105
27. Agassant J.-F., Baaijens F., Bastian H., Bernnat A., Bogaerds A.C.B., Coupez T., Debbaut B., Gavrus A.L., Goublomme A., van Gurp M., Koopmans R.J., Laun H.M., Lee K., Nouatin O.H., Mackley M.R., Peters G.W.M., Rekers G., Verbeeten W.M.H., Vergnes B., Wagner M.H., Wassner E., and Zoetelief W.F. The matching of experimental polymer processing flows to numerical simulation. Int. Polym. Proc. 17 (2002) 3