Extensional viscosity in uniaxial extension and contraction flow-Comparison of experimental methods and application of the molecular stress function model

Journal of Non-Newtonian Fluid Mechanics

Volumn 165, Issue 5-6, 2010, Pages 212-218

  Aho, Johanna ^a,b   Rolón Garrido, Víctor H ^b   Syrjälä, Seppo ^a   Wagner, Manfred H ^b  

^a TAMPERE UNIVERSITY OF TECHNOLOGY   (Finland)

^b TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

Cogswell analysis; Contraction flow; Extensional viscosity; LDPE; MSF model; SER; Uniaxial extension

Indexed keywords

CONTRACTION FLOW; EXPERIMENTAL METHODS; EXTENSIONAL VISCOSITY; MAXIMUM VALUES; MOLECULAR STRESS FUNCTIONS; MSF MODEL; STRAIN LEVELS; THREE TEMPERATURE; TRANSIENT TESTS; UNIAXIAL EXTENSION;

STRESSES;

VISCOSITY;

EID: 77049122944     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2009.12.003     Document Type: Article

References (50)

1. Dealy J.M., and Wissbrun K.F. Melt Rheology and its Role in Plastics Processing-Theory and Applications (1995), Chapman & Hall, London
2. Speight R.G., Costa F., Kennedy P.K., and Friedl C. Best practice for benchmarking injection moulding simulation. Plast. Rubber Comp. 37 (2008) 124-130
3. Meissner J. Stress and recovery maxima in LDPE melt elongation. Polym. Bull. 1 (1979) 397-402
4. Meissner J., and Hostettler J. A new elongational rheometer for polymer melts and other highly viscoelastic liquids. Rheol. Acta 33 (1994) 1-21
5. Münstedt H. New universal extensional rheometer for polymer melts, measurements on a polystyrene sample. J. Rheol. 23 (1979) 421-436
6. McKinley G.H., and Sridhar T. Filament-stretching rheometry of complex fluids. Annu. Rev. Fluid Mech. 34 (2002) 375-415
7. Bach A., Rasmussen H.K., and Hassager O. Extensional viscosity for polymer melts measured in the filament stretching rheometer. J. Rheol. 47 (2003) 429-441
8. Sentmanat M. Miniature universal testing platform: from extensional melt rheology to solid-state deformation behaviour. Rheol. Acta 43 (2004) 657-669
9. Padmanabhan M., Kasehagen L.J., and Macosko C. Transient extensional viscosity from a rotational shear rheometer using fiber-windup technique. J. Rheol. 40 (1996) 473-481
10. Hadinata C., Boos D., Gabriel C., Wassner E., Rüllmann M., Kao N., and Laun M. Elongation-induced crystallization of a high molecular weight isotactic polybutene-1 melt compared to shear induced crystallization. J. Rheol. 51 (2007) 195-215
11. Dealy J.M., and Larson R.G. Structure and Rheology of Molten Polymers-From Structure to Flow Behaviour and Back Again (2006), Carl Hanser Verlag, Munich
12. Cogswell F.N. Converging flow of polymer melts in extrusion dies. Polym. Eng. Sci. 12 (1972) 64-73
13. Binding D.M. An approximate analysis for contraction and converging flows. J. Non-Newton. Fluid Mech. 27 (1988) 173-189
14. Morrison F.A. Understanding Rheology (2001), Oxford University Press, New York
15. Laun H.M., and Schuh H. Transient elongational viscosities and drawability of polymer melts. J. Rheol. 33 (1989) 119-175
16. Gotsis A.D., and Odriozola A. The relevance of entry flow measurements for the estimation of extensional viscosity of polymer melts. Rheol. Acta 37 (1998) 430-437
17. Baldi F., Franceschini A., and Riccò T. Determination of the elongational viscosity of polymers melts by melt spinning experiments, a comparison with different experimental techniques. Rheol. Acta 46 (2007) 965-978
18. Pivokonsky R., Zatloukal M., and Filip P. On the predictive/fitting capabilities of the advanced differential constitutive equations for branched LDPE melts. J. Non-Newton. Fluid Mech. 135 (2006) 58-67
19. Pivokonsky R., Zatloukal M., and Filip P. On the predictive/fitting capabilities of the advanced differential constitutive equations for linear polyethylene melts. J. Non-Newton. Fluid Mech. 150 (2008) 56-64
20. Zatloukal M., and Musil J. Analysis of entrance pressure drop techniques for extensional viscosity determination. Polym. Test. 28 (2009) 843-853
21. Marrucci G., and Ianniruberto G. Interchain pressure effect in extensional flows of entangled polymer melts. Macromolecules 37 (2004) 3934-3942
22. Wagner M.H., Kheirandish S., and Hassager O. Quantitative prediction of transient and steady-state elongational viscosity of nearly monodisperse polystyrene melts. J. Rheol. 49 (2005) 1317-1327
23. Rolón-Garrido V.H., Wagner M.H., Luap C., and Schweizer T. Modeling non-Gaussian extensibility effects in elongation of nearly monodisperse polystyrene melts. J. Rheol. 50 (2006) 327-340
24. Wagner M.H., and Rolón-Garrido V.H. Verification of branch point withdrawal in elongational flow of pom-pom polystyrene melt. J. Rheol. 52 (2008) 1049-1068
25. Wagner M.H., and Rolón-Garrido V.H. Recent advances in constitutive modeling of polymer melts. Novel Trends of Rheology III, Proceedings of the International Conference. Zlin, Czech Republic (2009). 978-0-7354-0689-6
26. Rolón-Garrido V.H., and Wagner M.H. The MSF model: relation of nonlinear parameters to molecular structure of long-chain branched polymer melts. Rheol. Acta 46 (2007) 583-593
27. Rasmussen H.K., Skov A.L., Nielsen J.K., and Laillé P. Elongational dynamics of multiarm polystyrene. J. Rheol. 53 (2009) 401-415
28. 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) 1387-1412
29. Wagner M.H., Yamaguchi M., and Takahashi M. Quantitative assessment of strain hardening of low-density polyethylene melts by the molecular stress function model. J. Rheol. 47 (2003) 779-793
30. Rolón-Garrido V.H., Pivokonsky R., Filip P., Zatloukal M., and Wagner M.H. Modelling elongational and shear rheology of two LDPE melts. Rheol. Acta 48 (2009) 691-697
31. Olley P. A study of the quadratic molecular stress function constitutive model in simulation. J. Non-Newton. Fluid Mech. 125 (2005) 171-183
32. Olley P., and Wagner M.H. A modification of the convective constraint release mechanism in the molecular stress function model giving enhanced vortex growth. J. Non-Newton. Fluid Mech. 135 (2006) 68-81
33. Rasmussen H.K., and Bach A. On the bursting of linear polymer melts in inflation processes. Rheol. Acta 44 (2005) 435-445
34. Rasmussen H.K., and Yu K. On the burst of branched polymer melts during inflation. Rheol. Acta 47 (2008) 149-157
35. Rasmussen H.K. Lagrangian viscoelastic flow computations using a generalized molecular stress function model. J. Non-Newton. Fluid Mech. 106 (2002) 107-120
36. Eriksson T., and Rasmussen H.K. The effects of polymer melt rheology on the replication of surface microstructures in isothermal moulding. J. Non-Newton. Fluid Mech. 127 (2005) 191-200
37. Rasmussen H.K., and Eriksson T. Gas displacement of polymer melts in a cylinder: experiments and viscoelastic simulations. J. Non-Newton. Fluid Mech. 143 (2007) 1-9
38. Yu K., Román Marín J.M., Rasmussen H.K., and Hassager O. 3D modelling of dual wind-up extensional rheometers. J. Non-Newton. Fluid Mech. (2009) 10.1016/j.jnnfm.2009.08.006
39. A. Bernnat, Polymer Melt Rheology and Rheotens Test, PhD Thesis, Institut für Kunststofftechnologie, University of Stuttgart, 2001.
40. H.H. Winter, M. Mours, IRIS Developments, http://rheology.tripod.com/, 2003.
41. J. Aho, V.H. Rolón-Garrido, S. Syrjälä, M.H. Wagner, Measurement technique and data analysis of extensional viscosity for polymer melts by Sentmanat Extensional Rheometer (SER), Rheol. Acta, submitted for publication.
42. M. Fernandez San Martin, University of the Basque Country, Spain, Personal Communication, 2009.
43. Svrcinova P., Filip P., and Kharlamov A.A. A note to the measurement of extensional viscosity using SER Universal Testing Platform with different shapes of polymer samples. In: Mitsoulis E., and Georgiou G. (Eds). Proc. Polymer Processing Society Europe/Africa Regional Meeting. Larnaca, Cyprus, 18-21 October (2009) (Book of Abstracts p. 157 + CD ROM)
44. Padmanabhan M., and Macosko C.W. Extensional viscosity from entrance pressure drop measurements. Rheol. Acta 36 (1997) 144-151
45. Aho J., and Syrjälä S. Evaluation of different methods for determining the entrance pressure drop in capillary rheometry. Appl. Rheol. 18 (2008) 63258-1-63265-8
46. Doi M., and Edwards S.F. Dynamics of concentrated polymer systems. Part 2. Molecular motion under flow. J. Chem. Soc., Faraday Trans. 2 74 (1978) 1802-1817
47. Doi M., and Edwards S.F. Dynamics of concentrated polymer systems. Part 4. Rheological properties. J. Chem. Soc., Faraday Trans. 2 75 (1979) 38-54
48. Wagner M.H., Hepperle J., and Münstedt H. Relating rheology and molecular structure of model branched polystyrene melts by molecular stress function theory. J. Rheol. 48 (2004) 489-503
49. Stadler F.J., Kaschta J., and Münstedt H. Thermorheological behavior of various long-chain branched polyethylenes. Macromolecules 41 (2008) 1328-1333
50. Rasmussen H.K., Nielsen J.K., Bach A., and Hassager O. Viscosity overshoot in the start-up of uniaxial elongation of low density polyethylene melts. J. Rheol. 49 (2005) 369-381