Numerical investigations of Lagrangian unsteady extensional flows of viscoelastic fluids in 3-D rectangular ducts with sudden contractions

Rheologica Acta

Volumn 37, Issue 2, 1998, Pages 158-169

  Xue, Shicheng ^a   Phan Thien, Nhan ^a   Tanner, Roger I ^a  

^a UNIVERSITY OF SYDNEY   (Australia)

Author keywords

Constitutive models; Contraction flows; Extension behaviour; Finite volume method; Secondary flows

Indexed keywords

EID: 0141681841     PISSN: 00354511     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003970050102     Document Type: Article

References (38)

1. Baloch A, Townsend P, Webster MF (1996) On vortex development in viscoelastic expansion and contraction flows. J Non-Newtonian Fluid Mech 65:133
2. Binding DM (1988) An approximate analysis for contraction and converging flows. J Non-Newtonian Fluid Mech 27:173
3. Binding DM, Walters K (1988) On the use of flow through a contraction in estimating the extensional viscosity of mobile polymer solutions. J Non-Newtonian Fluid Mech 30:233
4. Binnington RJ, Boger DV (1985) Constant viscosity elastic liquids. J Rheol 29:157
5. Bird RB, Armstrong RC, Hassager O (1977) Dynamics of polymeric liquids: Vol 1, fluid mechanics. John Wiley and Sons, New York
6. Boger DV (1977/1978) A highly elastic constant-viscosity fluid. N Non-Newtonian Fluid Mech 3:87
7. Boger DV (1987) Viscoelastic flows through contractions. Ann Rev Fluid Mech 19:157
8. Boger DV, Hur DU, Binnington RJ (1986) Further observations of elastic effects in tubular entry flows. J Non-Newtonian Fluid Mech 20:31
9. Boger DV, Walters K (1993) Rheological Phenomena in Focus, Rheology Series 4, Elsevier
10. Choi HC, Song JH, Yoo JY (1988) Numerical simulation of the planar contraction flow of a Giesekus fluid. J Non-Newtonian Fluid Mech 29:347
11. Cogswell FN (1972) Converging flows of polymer melts in extrusion dies. Polym Eng Sci 12:64
12. Davies AR, Lee SJ, Webster MF (1984) Numerical simulation of viscoelastic flow: the effect of mesh size. J Non-Newtonian Fluid Mech 16:117
13. Debbaut B, Marchal JM, Crochet MJ (1988) Numerical simulation of highly viscoelastic flows through an abrupt contraction. J Non-Newtonian Fluid Mech 29:119
14. Evans RE, Walters K (1986) Flow characteristics associated with abrupt changes in geometry in the case of highly elastic liquids. J Non-Newtonian Fluid Mech 20:11
15. Evans RE, Walters K (1989) Further remarks on the lip-vortex mechanism of vortex enhancement in planar-contraction flows. J Non-Newtonian Fluid Mech 32:95
16. Galante SR, Frattini PL (1993a) An inviscid approximation for the centerline deformation history in entry flows. AIChE J 39(5):895
17. Galante SR, Frattni PL (1993b) Spatially resolved birefringence studies of planar entry flow. J Non-Newtonian Fluid Mech 47:289
18. Hassager O (1988) Working group on numerical techniques, fifth international workshop on numerical methods in Non-Newtonian flows, Lake Arrowhead, USA. J Non-Newtonian Fluid Mech 29:2
19. Ma CY, White JL, Weissert FC, Min K (1985) Flow patterns in carbon black filled Polyethylene at the entrance to a die. J Non-Newtonian Fluid Mech 17:275
20. McKinley GH, Raiford WP, Brown RA, Armstrong RC (1991) Nonlinear dynamics of viscoelastic flow in axisymmetric abrupt contractions. J Fluid Mech 223:411
21. Nguyen H, Boger DV (1979) The kinematics and stability of die entry flows. J Non-Newtonian Fluid Mech 5:353
22. Patankar SV (1980) Numerical heat transfer and fluid flow. McGraw-Hill, New York
23. Phan-Thien N, Tanner RI (1977) A new constitutive equation derived from network theory. J Non-Newtonian Fluid Mech 2:353
24. Quinzani LM, Armstrong RC, Brown RA (1994) Birefringence and laser-Doppler velocimetry (LDV) studies of viscoelastic flow through a planar contraction. J Non-Newtonian Fluid Mech 52:1
25. Quinzani LM, Armstrong RC, Brown RA (1995) Use of coupled birefringence and LDV studies of flow though a planar contraction to test constitutive equations for concentration polymer solutions. J Rheol 39:1201
26. Rajagopalan D, Armstrong RC, Brown RA (1990) Finite element methods for calculation of steady viscoelastic flow using constitutive equations with a Newtonian viscosity. J Non-Newtonian Fluid Mech 36:159
27. Saramito P (1995) Efficient simulation of nonlinear viscoelastic fluid flows. J Non-Newtonian Fluid Mech 60:199
28. Tanner RI (1988) Engineering rheology, revised edition. Oxford University Press
29. Tanner RI (1989) Paper presented at the 6th Workshop on Numerical Methods. Denmark
30. Upadhyay RK, Isayev AI (1986) Simulation of two-dimensional planar flow of viscoelastic fluids. Rheol Acta 25:80
31. White SA, Baird DG (1986) The importance of extensional flow properties on planar entry flow patterns of polymer melts. J Non-Newtonian Fluid Mech 20:93
32. White SA, Baird DG (1988a) Flow visualization and birefringence studies on planar entry flow behavior of polymer melts. J Non-Newtonian Fluid Mech 29:245
33. White SA, Baird DG (1988b) Numerical simulation studies of the planar entry flow of polymer melts. J Non-Newtonian Fluid Mech 30:47
34. White SA, Gotsis AD, Baird DG (1987) Review of the entry flow problem: experimental and numerical. J Non-Newtonian Fluid Mech 24:121
35. White JL, Kondo A (1977/1978) Flow patterns in polyethylene and polystyrene melts during extrusion through a die entry region: measurement and interpretation. J Non-Newtonian Fluid Mech 3:41
36. Walters K, Rawlinson DM (1982) On some contraction flow for Boger fluids. Rheol Acta 21:547
37. Xue SC, Phan-Thien N, Tanner RI (1995) Numerical study of secondary flows of viscoelastic fluid in straight pipes by an implicit finite volume method. J Non-Newtonian Fluid Mech 59:191
38. Xue SC, Phan-Thien N, Tanner RI (1997) Three dimensional numerical simulations of viscoelastic flows through planar contractions. J Non-Newtonian Fluid Mech, in press