Validity of the linear stress optical rule in mono-, bi- and polydisperse systems of entangled linear chains

Journal of Non-Newtonian Fluid Mechanics

Volumn 123, Issue 2-3, 2004, Pages 259-267

  van Meerveld, Jan ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

Flow birefringence; Linear entangled polymers; Molecular weight distribution; Optical behavior; Polystyrene melts; Uniaxial flows

Indexed keywords

BIREFRINGENCE; FLOW OF FLUIDS; MOLECULAR WEIGHT; MOLECULAR WEIGHT DISTRIBUTION; POLYSTYRENES; STRESS RELAXATION;

LINEAR POLYMER SYSTEMS; STRESS OPTICAL RULE (SOR); STRETCH RATIO; UNIAXIAL EXTENSIONAL FLOWS;

POLYMERS;

STRESS;

EID: 8844228941     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2004.09.003     Document Type: Article

References (43)

1. G. Strobl The Physics of Polymers second ed. 1997 Springer Verlag Heidelberg, Germany
2. F.H.M. Swartjes, Stress induced crystallization in elongational flow, Ph.D. thesis, University of Technology Eindhoven, the Netherlands, 2001.
3. A. Ziabicki H. Kawai High-speed Fiber Spinning. Science and Engineering Aspects 1985 John Wiley & Sons London, United Kingdom
4. H. Janeschitz-Kriegl Polymer Melt Rheology and Flow Birefringence 1983 Springer Verlag Berlin, Germany
5. G.G. Fuller Optical Rheometry of Complex Fluids second ed. 1995 Oxford University Press New York, United States
6. L.R.G. Treloar The Physics of Rubber Elasticity 1975 Clarendon Press Oxford, United Kingdom
7. J. Schoonen, Determination of rheological constitutive equations using complex flows, Ph.D. thesis, University of Technology Eindhoven, the Netherlands, 1998.
8. D.W. Mead L.G. Leal The reptation model with segmental stretch. I. Basic equations and general properties Rheol. Acta 34 1995 339-359
9. D.C. Venerus S.-H. Zhu H.C. Öttinger Stress and birefringence measurements during the uniaxial elongation of polystyrene melts J. Rheol. 43 1999 795-813
10. J.P. Rothstein G.H. McKinley A comparison of the stress and birefringence growth of dilute, semi-dilute and concentrated polymer solutions in uniaxial extensional flows J. Non-Newtonian Fluid Mech. 108 2002 275-290
11. K. Osaki T. Inoue E.-J. Hwang H. Okamoto O. Takiguchi Dynamic birefringence of amorphous polymers J. Non-Cryst. Solids 172 1984 838-849
12. M. Kröger C. Luap R. Muller Polymer melts under uniaxial elongational flows: Stress-optical behavior from experiments and nonequilibrium molecular dynamics computer simulations Macromolecules 30 1997 526-539
13. T. Matsumoto D.C. Bogue Stress birefringence in amorphous polymers under nonisothermal conditions J. Polym. Sci. B. Pol. Phys. 15 1977 1663-1674
14. R. Muller D. Froehlich New extensional rheometer for elongational viscosity and flow birefringence measurements: Some results on polystyrene melts Polymer 26 1985 1477-1482
15. D. Froehlich R. Muller Y.H. Zang New extensional rheometer for elongation viscosity and birefringence measurements: Experimental results and interpretation Rubber Chem. Tech. 59 1986 564-573
16. g and melt flow-induced anisotropy in amorphous polymers Polymer 35 1994 734-739
17. T. Kotaka A. Kojima M. Okamoto Elongational flow opto-rheometry for polymer melts. 1. Construction of an elongational flow optical-rheometer and some preliminary results Rheol. Acta 36 1997 646-656
18. K. Koyama O. Ishizuka Birefringence of polyethylene melt in transient elongational flow at constant strain rate J. Polym. Sci. B. Pol. Phys. 27 1989 297-306
19. M. Okamoto A. Kojima T. Kotaka Elongational flow and birefringence of low density polyethylene and its blends with ultrahigh molecular weight polyethylene Polymer 39 1998 2149-2153
20. N.G. Ebrahimi M. Takahashi O. Araki T. Masuda Effects of molecular weight distribution on dynamic viscoelasticity and biaxial extensional flow behavior of polystyrene melts J. Rheol. 39 1995 1385-1397
21. A. Minegishi A. Nishioka T. Takahashi Y. Masubuchi J. Takamoto K. Koyama Uniaxial elongational viscosity of PS/a small amount of UHMW-PS blends Rheol. Acta 40 2001 329-338
22. M. Sugimoto Y. Masubuchi J. Takamoto K. Koyama Melt rheology of polypropylene containing small amounts of high molecular weight chain. II. Uniaxial and biaxial extensional flow Macromolecules 34 2001 6056-6063
23. X. Ye R.G. Larson C. Pattamaprom T. Sridhar Extensional properties of monodisperse and bidisperse polystyrene solutions J. Rheol. 47 2003 443-468
24. J. Hepperle, Einfluss der molekularen Struktur auf rheologische Eigenschaften von polystyrol- und polycarbonatschmelzen, Ph.D. thesis, Universität Erlangen-Nürnberg, Germany, 2002.
25. H.C. Öttinger A thermodynamically admissible reptation model for fast flows of entangled polymers J. Rheol. 43 1999 1461-1493
26. J. Fang M. Kröger H.C. Öttinger A thermodynamically admissible reptation model for fast flows of entangled polymers. II. Model predictions for shear and extensional flows J. Rheol. 44 2000 1293-1317
27. D.W. Mead R.G. Larson M. Doi A molecular theory for fast flows of entangled polymers Macromolecules 31 1998 7895-7914
28. J. van Meerveld, Molecular based description of bidisperse systems of entangled linear chains, Internal report, 2004.
29. P.K. Bhattacharjee J.P. Oberhauser G.H. McKinley L.G. Leal T. Sridhar Extensional rheometry of entangled solutions Macromolecules 35 2002 10131-10148
30. P.J. Flory Statistical Mechanics of Chain Molecules second ed. 1989 Hanser Publisher Münich, Germany
31. R.L. Jernigan P.J. Flory Distribution functions of chain molecules J. Chem. Phys. 50 1969 4185-4200
32. D.C. Venerus H. Kahvand Doi-Edwards theory evaluation in double-step strain flows J. Polym. Sci. Pol. Phys. Ed. 32 1994 1531-1542
33. C.C. Hua J.D. Schieber D.C. Venerus Segment connectivity, chain-length breathing, segmental stretch, and constraint release in reptation models. III. Shear flows J. Rheol. 43 1999 701-717
34. G.H. McKinley O. Brauner M. Yao Filament stretching rheometry and the extensional viscosity of dilute and concentrated polymer solutions. Korea-Austra Rheol. J. 13 2001 29-35
35. J. van Meerveld, Modified constraint release in molecular based reptation models for fast flows, J. Non-Newtonian Fluid. Mech. 122 (2004) 263-272.
36. L.J. Fetters D.J. Lohse D. Richter T.A. Witten A. Zirkel Connection between polymer molecular weight, density, chain dimensions, and viscoelastic properties Macromolecules 27 1994 4639-4647
37. L.J. Fetters D.J. Lohse R.H. Colby Physical Properties of Polymers, Handbook 1996 AIP New York (Chapter 24)
38. L.J. Fetters D.J. Lohse W.W. Graessley Chain dimensions and entanglement spacings in dense macromolecular systems J. Polym. Sci. B. Pol. Phys. 37 1999 1023-1033
39. M. Doi Explanation of the 3.4-power law for viscosity of polymeric liquids on the basis of the tube model J. Polym. Sci. Pol. Phys. Ed. 21 1983 667-684
40. M. Doi S.F. Edwards The Theory of Polymer Dynamics second ed. 1986 Clarendon Press Oxford, United Kingdom
41. A.E. Likhtman T.C.B. McLeish Quantitative theory for linear dynamics of linear entangled polymers Macromolecules 35 2002 6332-6343
42. A. Bach K. Almdal H.K. Rasmussen O. Hassager Elongational viscosity of narrow molar mass distribution polystyrene Macromolecules 36 2003 5174-5179
43. H.F. Gramesbacher, Einfluss der Grenzflächenspannung auf das rheologische Verhalten von Schmelzen aus Polystyrol/Polymethyl-methacrylat-Misschungen in Dehn- und Scherströmungen, ETH Zürich, ETH Diss. Nr. 10179, Switzerland, 1993.