A study of the quadratic molecular stress function constitutive model in simulation

Journal of Non-Newtonian Fluid Mechanics

Volumn 125, Issue 2-3, 2005, Pages 171-183

  Olley, P ^a  

^a UNIVERSITY OF BRADFORD   (United Kingdom)

Author keywords

KBKZ; Molecular stress function (MSF); Negative correction pressure; Simulation; Strain hardening

Indexed keywords

COMPUTER SIMULATION; COMPUTER SOFTWARE; MATHEMATICAL MODELS; PARTICLES (PARTICULATE MATTER); STRAIN HARDENING;

CONTRACTION FLOW; ELONGATIONAL FLOWS; MOLECULAR STRESS; QUADRATIC MOLECULAR STRESS FUNCTION (QMSF);

FLOW OF FLUIDS;

FLUID DYNAMICS; MATHEMATICAL ANALYSIS; MODEL; NON-NEWTONIAN FLUID; STRESS;

EID: 14244266752     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2004.11.005     Document Type: Article

References (41)

1. M.H. Wagner A constitutive analysis of uniaxial elongational flow data of low-density polyethylene melt J. Non-Newt. Fluid Mech. 4 1978 39
2. A.C. Papanastasiou L.E. Scriven C.W. Macosko An integral constitutive equation for mixed flows: Viscoelastic characterization J. Rheol. 27 1983 387
3. S. Dupont M.J. Crochet The vortex growth of a K.B.K.Z. fluid in an abrupt contraction J. Non-Newt. Fluid Mech. 29 1988 81
4. X.-L. Luo E. Mitsoulis A numerical study of the effect of elongational viscosity on vortex growth in contraction flows of polyethylene melts J. Rheol. 34 1990 309
5. A. Goublomme, Ph.D. Thesis, Louvain-la-Neuve, 1992.
6. D.G. Kiriakidis H.J. Park E. Mitsoulis B. Vergnes J.-F. Agassant A study of stress distribution in contraction flows of an LLDPE melt J. Non-Newt. Fluid Mech. 47 1993 339
7. B. Bernstein K.A. Feigl E.T. Olsen Steady flows of viscoelastic fluids in axisymmetric abrupt contraction geometry: A comparison of numerical results J. Rheol. 38 1994 53
8. R. Ahmed R.F. Liang M.R. Mackley The experimental observation and numerical prediction of planar entry flow and die swell for molten polyethylenes J. Non-Newt. Fluid Mech. 59 1995 129
9. P. Olley R. Spares P.D. Coates A method for implementing time-integral constitutive equations in commercial CFD packages J. Non-Newt. Fluid Mech. 86 1999 337
10. A. Goublomme M.J. Crochet Numerical prediction of extrudate swell of a high-density polyethylene: Further results J. Non-Newt. Fluid Mech. 47 1993 281
11. A. Goublomme B. Drailly M.J. Crochet Numerical prediction of extrudate swell of a high-density polyethylene J. Non-Newt. Fluid Mech. 44 1992 171
12. H.J. Park D.G. Kiriakidis E. Mitsoulis Birefringence studies in die flows of an HDPE melt J. Rheol. 36 1992 1563
13. P. Olley An adaptation of the separable KBKZ equation for comparable response in planar and axisymmetric flow J. Non-Newt. Fluid Mech. 95 2000 35
14. E. Mitsoulis Numerical simulation of entry flow of the IUPAC-LDPE melt J. Non-Newt. Fluid Mech. 97 2001 13
15. E. Mitsoulis Entry flow of LDPE melts in a planar contraction J. Non-Newt. Fluid Mech. 111 2003 41
16. M.H. Wagner J. Schaeffer Nonlinear strain measures for general biaxial extension of polymer melts J. Rheol. 36 1992 1
17. M.H. Wagner Schaeffer Assessment of nonlinear strain measures for extensional and shearing flows of polymer melts J. Rheol. Acta 33 1994 506
18. M.H. Wagner P. Ehrecke P. Hachmann J. Meissner A constitutive analysis of uniaxial, equibiaxial and planar extension of a commercial linear high-density polyethylene melt J. Rheol. 42 1998 621
19. M.H. Wagner H. Bastian P. Hachmann J. Meissner S. Kurzbeck H. Munstedt F. Langouche The strain-hardening behaviour of linear and long-chain branched polyolefin melts in extensional flows Rheol. Acta 39 2000 97
20. M.H. Wagner P. Rubio H. Bastian The molecular stress function model for polydisperse polymer melts with dissipative convective constraint release J. Rheol. 45 2001 1387
21. G. Marrucci Dynamics of entanglements: A nonlinear model consistent with the Cox-Merz rule J. Non-Newt. Fluid Mech. 62 1996 279
22. E.A.J.F. Peters M.A. Hulsen B.H.A.A. van den Brule Instationary Eulerian viscoelastic flow simulations using time separable Rivlin-Sawyers constitutive equations J. Non-Newt. Fluid Mech. 89 2000 209
23. H.K. Rasmussen Lagrangian viscoelastic flow computations using the Rivlin-Sawyers constitutive model J. Non-Newt. Fluid Mech. 92 2000 227
24. H.K. Rasmussen Lagrangian viscoelastic flow computations using a generalised molecular stress function model J. Non-Newt. Fluid Mech. 106 2002 107
25. P. Wapperom R. Keunnings Simulation of linear polymer melts in transient complex flow J. Non-Newt. Fluid Mech. 95 2000 67
26. T.C.B. McLeish R.G. Larson Molecular constitutive equations for a class of branched polymers: The pom-pom polymer J. Rheol. 42 1998 81
27. S.T. Milner T.C.B McLeish A.E. Likhtman Microscopic theory of convective constraint release J. Rheol. 45 2001 539
28. C.B.B. Arjen A.M. Grillet G.W.M. Peters F.P.T. Baaijens Viscoelastic analysis of complex polymer melt flows using the extended pom-pom model J. Non-Newt. Fluid Mech. 108 2002 301
29. M.H.V. Wilco G.W.M. Peters F.P.T. Baaijens Numerical simulations of the planar contraction flow for a polyethylene melt using the XPP model J. Non-Newt. Fluid Mech. 117 2004 73
30. G. Ianniruberto G. Marrucci A simple constitutive equation for entangled polymers with chain stretch J. Rheol. 45 2001 1305
31. G. Ianniruberto G. Marrucci A multi-mode CCR model for entangled polymers with chain stretch J. Non-Newt. Fluid Mech. 102 2002 385
32. P.K. Currie, Calculations on the Doi-Edwards model for concentrated polymer systems, in: "Rheology", Proceedings of the Ninth International Congress on Rheology, Acapulco, Mexico, 1984.
33. A.G.P. van Heel M.A. Hulsen B.H.A.A. van den Brule Simulation of the Doi-Edwards model in complex flow J. Rheol. 43 1999 1239
34. J.M. Laun Description of the non-linear shear behaviour of a low density polyethylene melt by means of an experimentally determined strain dependent memory function Rheol. Acta 17 1978 1
35. J.M. Laun H. Munstedt Elongational behaviour of a low density polyethylene melt Rheol. Acta 17 1978 415
36. J. Meissner Basic parameters, melt rheology, processing and end use properties of three similar low density polyethylene samples Pure Appl. Chem. 42 1975 553-612
37. X.-L. Luo E. Mitsoulis A numerical study of the effect of elongational viscosity on vortex growth in contraction flows of polyethylene melts J. Rheol. 34 1990 309
38. X.-L. Luo R.I. Tanner A streamline element scheme for solving viscoelastic flow problems part II: Integral constitutive models J. Non-Newt. Fluid Mech. 22 1986 61
39. S.C. Chapra, R.P. Canale, Numerical Methods for Engineers, 3rd ed., McGraw-Hill, 1998. ISBN 0-07-010938-9.
40. M. Viriyayuthakon B. Caswell Finite element simulation of viscoelastic flow J. Non-Newt. Fluid Mech. 6 1980 245
41. J. Sun N. Phan-Thien R.I. Tanner An adaptive viscoelastic stress splitting scheme and its applications: AVSS/SI and AVSS/SUPG J. Non-Newt. Fluid Mech. 65 1996 75