Numerical studies of the effect of constitutive model parameters as reflecting polymer molecular structure on extrudate swell

Applied Rheology

Volumn 12, Issue 5, 2002, Pages 252-259

  Nithi Uthai, Nattapong ^a   Manas Zloczower, Ica ^a  

^a CASE WESTERN RESERVE UNIVERSITY   (United States)

Author keywords

Extrudate swell; Finite element method; K BKZ constitutive model; Molecular weight distribution; Numerical simulation; Relaxation time spectrum

Indexed keywords

MATHEMATICAL ANALYSIS; MOLECULAR STRUCTURE; POLYMER; RHEOLOGY; SWELL;

EID: 0036764871     PISSN: 14306395     EISSN: None     Source Type: Journal    
DOI: 10.1515/arh-2002-0014     Document Type: Article

References (40)

1. Graessley WW et al.: Die Swell in Molten Polymers. Transactions of the Society of Rheology 14 (1970) 519-544.
2. Han CD et al.: Rheological Implications of the Exit Pressure and Die Swell in Steady Capillary Flow of Polymer Melts I. The Primary Normal Stress Difference and the Effect of L/D Ratio on Elastic Properties. Transactions of the Society of Rheology 14 (1970) 393-408.
3. Hill GA, Chenier CL : Die Swell Experiments for Newtonian Fluids. The Canadian Journal of Chemical Engineering 62 (1984) p 40-45.
4. Koopmans RJ: Extrudate Swell of High Density Polyethylene Part I: Aspects of Molecular Structure and Rheological Characterization Methods. Polymer Engineering and Science 32 (1992) 1741-1749.
5. Koopmans RJ: Extrudate Swell of High Density Polyethylene Part II: Time Dependency and Effects of Cooling and Sagging. Polymer Engineering and Science 32 (1992) 1750-1754.
6. Koopmans RJ: Extrudate Swell of High Density Polyethylene Part III: Extrusion Blow Molding Die Geometry Effects. Polymer Engineering and Science 32 (1992) 1755-1764.
7. Brandao J et al.: Extrusion of Polypropylene Part I: Melt Rheology. Polymer Engineering and Science 36 (1996) 49-55.
8. Yang X et al.: Extrudate swell behavior of polyethylenes: Capillary flow, Wall slip, Entry/exit effects and Low temperature anomalies. Journal of Rheology 42 (1998) 1075-1094.
9. Lee W.-S, Ho H.-Y : Experimental Study on Extrudate Swell and Die Geometry of Profile Extrusion. Polymer Engineering and Science 40 (2000) 1085-1094.
10. Allan W: Newtonian Die Swell Evaluation for Axisymmetric Tube Exits Using a Finite Element Method. International Journal for Numerical Methods in Engineering 11 (1977) 1621-1632.
11. Crochet MJ, Keunings R: Die Swell of a Maxwell Fluid: Numerical Prediction. Journal of Non-Newtonian Fluid Mechanics 7 (1980) 199-212.
12. Crochet MJ, Keunings R: On Numerical Die Swell Calculation. Journal of Non-Newtonian Fluid Mechanics 10 (1982) 85-94.
13. Crochet MJ, Keunings R: Finite element analysis of die swell of a highly elastic fluid. Journal of Non-Newtonian Fluid Mechanics 10 (1982) 339-356.
14. Beverly CR, Tanner RI: Numerical Analysis of Extrudate Swell in Viscoelastic Materials with Yield Stress. Journal of Rheology 33 (1989) 989-1009.
15. Beverly CR, Tanner RI: Numerical analysis of three-dimensional Newtonian extrudate swell. Rheologica Acta 30 (1991) 341-356.
16. Bush MB: A numerical study of extrudate swell in very dilute polymer solutions represented by the oldroyd-b model. Journal of Non-Newtonian Fluid Mechanics 34 (1990) 15-24.
17. Kajiwara T et al.: Numerical Study on Extrudate Swell of Polymer Melts in Extrusion from Various Dies. Memoirs of the Faculty of Engineering Kyushu University 51 (1991) 145-162.
18. Goublomme A et al.: Numerical prediction of extrudate swell of a high-density polyethylene. Journal of Non-Newtonian Fluid Mechanics 44 (1992) 171-195.
19. Goublomme A, Crochet MJ: Numerical prediction of extrudate swell of a high-density polyethylene: further results. Journal of Non-Newtonian Fluid Mechanics 47 (1993) 281-287.
20. Ahn Y-C, Ryan ME: A Finite Difference Analysis of The Extrudate Swell Problem. International Journal for Numerical Methods in Fluids 13 (1991) 1289-1310.
21. Clermont J-R, Normandin M: Numerical simulation of extrudate swell for Oldroyd-B fluids using the stream-tube analysis and a streamline approximation. Journal of Non-Newtonian Fluid Mechanics 50 (1993) 193-215.
22. Chang R-Y, Yang W-L: Numerical simulation of non-isothermal extrudate swell at high extrusion rates. Journal of Non-Newtonian Fluid Mechanics 51 (1994) 1-19.
23. Ahmed R et al.: The experimental observation and numerical prediction of planar entry flow and die swell for molten polyethylenes. Journal of Non-Newtonian Fluid Mechanics 59 (1995) 129-153.
24. Ahmed R, Mackley MR: Experimental conterline planar extension of polyethylene melt flowing into a slit die. Journal of Non-Newtonian Fluid Mechanics 56 (1995) 127-149.
25. Otsuki Y et al.: Numerical Simulations of Annular Extrudate Swell of Polymer Melts. Polymer Engineering and Science 37 (1997) 1171-1181.
26. Otsuki Y et al.: Numerical Simulations of Annular Extrudate Swell Using Various Types of Viscoelastic Models Polymer Engineering and Science 39 (1999) 1969-1981.
27. Tanoue S et al.: High Weissenberg Number Simulation of an Annular Extrudate Swell Using the Differential Type Constitutive Equation. Polymer Engineering and Science 38 (1998) 409-419.
28. Ariawan AB et al.: Effects of molecular structure on the rheology and processability of blow-molding high-density polyethylene resins. Advances in Polymer Technology 20 (2001) 1-13.
29. Wong AC-Y.: Factors affecting extrudate swell and melt flow rate. Journal of Materials Processing Technology 79 (1998) 163-169.
30. Honerkamp J, Weese J: Determination of the relaxation spectrum by a regularization method. Macromolecules 22 (1989) 4372-4377.
31. Nithi-Uthai N: Numerical studies of extrudate swell and distortion of polymer melts. Ph.D. thesis (2002) Case Western Reserve University, Cleveland, Ohio, USA.
32. Baumgaertel M, Winter HH: Determination of discrete relaxation and retardation time spectra from dynamic mechanical data. Journal of Rheology 28 (1989) 511-519.
33. Thimm W et al.: An analytical relation between relaxation time spectrum and molecular weight distribution. Journal of Rheology 43 (1999) 1663-1672.
34. Thimm W et al.: On the Rouse spectrum and the determination of the molecular weight distribution from rheological data. Journal of Rheology 44 (2000) 429-438.
35. Kiriakidis DG et al.: A study of stress distribution in contraction flows of an LLDPE melt. Journal of Non-Newtonian Fluid Mechanics 47 (1993) 339-356.
36. Coates PJ et al.: Calculation of steady-state viscoelastic flow through axisymmetric contractions with the EEME formulation. Journal of Non-Newtonian Fluid Mechanics 42 (1992) 141-188.
37. Salamon TR et al.: The role of surface tension in the dominant balance in the die swell singularity. Physics of Fluids 7 (1995) 2328-2344.
38. Salamon TR et al.: Local similarity solutions for the stress field of an Oldroyd-B fluid in the partial-slip/slip flow. Physics of Fluids 9 (1997) 2191-2209.
39. Mackley MR, Moore IPT: Experimental Velocity Distribution Measurements of High Density Polyethylene Flowing into and within a Slit. Journal of Non-Newtonian Fluid Mechancis 21 (1986) 337-358.
40. Jay P et al.: The reduction of viscous extrusion stresses and extrudate swell computation using slippery exit surfaces. Journal of Non-Newtonian Fluid Mechanics 79 (1998) 599-617.