A test case for predicting the rheological properties of polymeric liquids: The multiple coupled Maxwell modes model

Journal of Non-Newtonian Fluid Mechanics

Volumn 120, Issue 1-3, 2004, Pages 11-32

  Jiang, B ^a   Kamerkar, P ^a   Keffer, D J ^a   Edwards, B J ^a  

^a University of Tennessee Knoxville   (United States)

Author keywords

Coupled relaxation modes; Optimization; Polymer melts; Rheological properties

Indexed keywords

AXIAL FLOW; MAXWELL EQUATIONS; NON NEWTONIAN LIQUIDS; OSCILLATIONS; RHEOLOGY; SHEAR FLOW;

FLOW FIELDS; MULTIPLE COUPLED MAXWELL MODES (MCMM);

FLUID MECHANICS;

FLUID DYNAMICS; MODEL; POLYMER; PREDICTION; RHEOLOGY;

EID: 3242772793     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2004.02.007     Document Type: Article

References (16)

1. A.N. Beris, B.J. Edwards, Thermodynamics of Flowing Systems, Oxford University Press, New York, 1994.
2. McLeish T.C.B.Larson R.G.Molecular constitutive equation for a class of branched polymers: The pom-pom polymer J. Rheol. 42 1998 81-110
3. Öttinger H.C.Thermodynamic admissibility of the pompon model for branched polymers Rheol. Acta 40 2001 317-321
4. Chodankar C.D.Schieber J.D.Venerus D.C.Pom-Pom theory evaluation in double-step strain flows J. Rheol. 47 2003 413-427
5. W.H. Press, S.A. Tevkolsky, B.P. Flannery, Numerical Recipes in Fortran 77, Cambridge University Press, Cambridge, 1992.
6. Edwards B.J.Beris A.N.Mavrantzas V.G.A model with two coupled Maxwell modes J. Rheol. 40 1996 917-942
7. Edwards B.J.Keffer D.J.Reneau C.W.An examination of the shear-thickening behavior of high-molecular-weight polymers dissolved in low-viscosity Newtonian solvents J. Appl. Polym. Sci. 85 2002 1714-1735
8. Feigl K.Tanner F.X.Edwards B.J.Collier J.R.A numerical study of the measurement of elongational viscosity of polymeric fluids in a semi-hyperbolically converging die J. Non-Newtonian Fluid Mech. 115 2003 191-215
9. Honerkamp J.Ill-posed problems in rheology Rheol. Acta 28 1989 363-371
10. Simhambhatla M.Leonov A.I.The extended Padé-Laplace method for efficient discretization of linear viscoelastic spectra Rheol. Acta 32 1993 589-600
11. Orbey N.Dealy J.M.Determination of the relaxation spectrum from oscillatory shear data J. Rheol. 35 1991 1035-1049
12. Fulchiron R.Verney V.Cassagnau P.Michel A.Levoir P.Aubard J. Deconvolution of polymer melt stress relaxation by the Padé-Laplace method J. Rheol. 37 1993 17-34
13. Thimm W.Friedrich C.Marth M.Honerkamp J.An analytical relation between relaxation time spectrum and molecular weight distribution J. Rheol. 43 1999 1663-1672
14. He L.Ding R.Leonov A.I.Dixon H.Quirk R.P.Viscoelastic behavior of polybutadienes with high 1,4-microstructure and narrow molecular weight distribution J. Appl. Polym. Sci. 71 1999 1315-1324
15. K.F. Wissbrun, personal communication.
16. B. Jiang, P.A. Kamerkor D.J. Keffer, B.J. Edwards, J. Rheol., submitted.