Three-dimensional extrudate swell experimental and numerical study of a polyethylene melt obeying a memory-integral equation

Journal of Non-Newtonian Fluid Mechanics

Volumn 87, Issue 1, 1999, Pages 1-25

  Normandin, Magdeleine ^a   Clermont, Jean Robert ^a   Guillet, Jacques ^b   Raveyre, Claude ^b  

^a CNRS   (France)

^b UNIVERSITÉ JEAN MONNET   (France)

Author keywords

3D extrudate swell; Free surface flow; Memory integral constitutive equations; Polyethylene melts; Stream tube method

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; JETS; LINEAR LOW DENSITY POLYETHYLENES; MATHEMATICAL MODELS; OPTIMIZATION; RHEOLOGY;

EXTRUDATE SWELL; LEVENBERG-MARQUARDT OPTIMIZATION; STREAM TUBE ANALYSIS; WAGNER'S MEMORY-INTEGRAL CONSTITUTIVE EQUATION;

NON NEWTONIAN FLOW;

EXTRUSION; FLUID FLOW; MATHEMATICAL ANALYSIS; MELTING; POLYETHYLENE;

EID: 0033402594     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0257(99)00011-7     Document Type: Article

References (25)

1. Luo X.L., Tanner R.I. Finite element simulation of long and short die extrusion experiments using integral models. Int. J. Numer. Meth. Eng. 25:1988;9-22.
2. Goublomme A., Draily B., Crochet M.J. Numerical prediction of extrudate swell of a high-density polyethylene. J. Non-Newtonian Fluid Mech. 44:1992;171-195.
3. Bush M.B., Phan-Thien N. Three-dimensional viscous flows with a free surface: flow out of a long square die. J. Non-Newtonian Fluid Mech. 18:1985;211-218.
4. Tran-Cong T., Phan-Thien N. Three-dimensional study of extrusion processes by boundary element method 2. Extrusion of a viscoelastic fluid. Rheol. Acta. 27:1988;639-648.
5. Karagiannis A., Hrymak A.N., Vlachopoulos J. Three-dimensional extrudate swell of creeping Newtonian jets. AIChE J. 34:1988;2088-2094.
6. Shiojima T., Shimazaki Y. Three-dimensional finite element method for extrudate swells of a Maxwell fluid. J. Non-Newtonian Fluid Mech. 34:1990;269-288.
7. Wambersie O., Crochet M.J. Transient finite element method for calculating steady state three-dimensional free surface. Int. J. Numer. Meth. Fluids. 14:1992;343-360.
8. Legat V., Marchal J.M. Prediction of three-dimensional general shape extrudates by an implicit scheme. Int. J. Numer. Meth. Fluids. 14:1992;609-625.
9. Rajagopal K.R. Flow of viscoelastic fluid between rotating disks. Theor. Comp. Fluid Dyn. 3:1992;185-206.
10. Broszeit J. Finite-element simulation of circulating steady flow for fluids of the integral type: flow in a single-screw extruder. J. Non-Newtonian Fluid Mech. 70:1997;35-58.
11. André P., Clermont J.R. Experimental and numerical study of the swelling of a viscoelastic liquid using the stream-tube method and a kinematic singularity approximation. J. Non-Newtonian Fluid Mech. 38:1990;1-29.
12. Clermont J.R., Normandin M. Numerical simulation of extrudate swell for Oldroyd-B fluids using the stream-tube analysis and a streamline approximation. J. Non-Newtonian Fluid Mech. 50:1993;193-215.
13. Normandin M., Clermont J.R. Three-dimensional extrudate swell: formulation with the stream-tube method and numerical results for a Newtonian fluid. Int. J. Numer. Meth. Fluids. 23:1996;937-952.
14. Guillet J., Revenu P., Béreaux Y., Clermont J.R. Experimental and numerical study of entry flow of polyethylene melts. Rheol. Acta. 35:1996;494-507.
15. Guillet J., Seriai M. Quantitative evaluation of extrudate swell from viscoelastic properties of polystyrene. Rheol. Acta. 30:1991;540-548.
16. Wagner M.H. A constitutive analysis of uniaxial elongational flow data of a low-density polyethylene melt. J. New-Newtonian Fluid Mech. 4:1978;39.
17. Soskey P.L., Winter H.H. Large step strain experiments with parallel disk rotational rheometers. J. Rheol. 28:1984;625-645.
18. Papanastasiou A.C., Scriven L.E., Macosco C.W. An integral constitutive equation for mixed flows: viscoelastic characterization. J. Rheol. 27:1983;387-441.
19. Clermont J.R. Calculation of kinematic histories in two- and three-dimensional flows using streamline coordinate functions. Rheol. Acta. 32:1993;82-93.
20. Y. Béreaux, Thèse de Doctorat, INPG Grenoble, 1996.
21. Adachi K. Calculation of strain history in Protean coordinate system. Rheol. Acta. 22:1983;326-335.
22. Adachi K. A note on the calculation of strain histories in orthogonal streamline coordinate systems. Rheol. Acta. 25:1986;555-563.
23. J. Batchelor, H. Horsfall, Die-swell in elastic and viscous fluids, Rubber and Plastics Research Association of Great Britain, Report 189, 1971.
24. Clermont J.R., de la Lande M.E. Numerical simulation three-dimensional duct flows of incompressible fluids by using the stream-tube method Part I. Newtonian equation. Theor. Comput. Fluid Dyn. 4:1993;129-149.
25. A. Gourdin, M. Boumahrat, Méthodes Numériques Appliquées, Technique et Documentation, Lavoisier, Paris, 1989.