Computations with viscoplastic and viscoelastoplastic fluids

Rheologica Acta

Volumn 50, Issue 4, 2011, Pages 343-360

  Belblidia, Fawzi ^a   Tamaddon Jahromi, Hamid Reza ^a   Webster, Michael Francis ^a   Walters, Ken ^b  

^a SWANSEA UNIVERSITY   (United Kingdom)

^b ABERYSTWYTH UNIVERSITY   (United Kingdom)

Author keywords

Bingham; Papanastasiou models; Viscoelastoplastic; Viscoplastic; Yield stress

Indexed keywords

EID: 79960958467     PISSN: 00354511     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00397-010-0481-6     Document Type: Article

References (41)

1. Abdali SS, Mitsoulis E, Markatos NC (1992) Entry and exit flows of Bingham fluids. J Rheol 36: 389-407.
2. Aboubacar M, Webster MF (2001) A cell-vertex finite volume/element method on triangles for abrupt contraction viscoelastic flows. J Non-Newton Fluid Mech 98: 83-106.
3. Aguayo JP, Tamaddon-Jahromi HR, Webster MF (2006) Extensional response of the pom-pom model through planar contraction flows for branched polymer melts. J Non-Newton Fluid Mech 134: 105-126.
4. Aguayo JP, Tamaddon-Jahromi HR, Webster MF (2008) Excess pressure-drop estimation in contraction and expansion flows for constant shear-viscosity, extension strain-hardening fluids. J Non-Newton Fluid Mech 153: 157-176.
5. Azouz I, Shirazi SA, Pilehvari A, Azar JJ (1993) Numerical simulation of laminar flows of yield-power-law fluids in conduits of arbitrary cross-section. J Fluids Eng 115: 710-716.
6. Balmforth NJ, Craster RV (2001) Geophysical aspects of non-newtonian fluid mechanics. In: Lecture notes in physics, vol 582/2001, Springer, Berlin/Heidelberg, pp 34-51.
7. Baloch A, Webster MF (1995) A computer simulation of complex flows of fibre suspensions. Comput Fluids 24: 135-151.
8. Barnes HA (1999) The yield stress-a review or 'πανταρι'-everything flows? J Non-Newton Fluid Mech 81: 133-178.
9. Barnes HA, Walters K (1985) The yield stress myth? Rheol Acta 24: 323-326.
10. Bingham EC (1922) Fluidity and plasticity. McGraw Hill, New York.
11. Bonn D (2009) Yield stress fluids: to flow or not to flow, that is the question. Viscoplastic fluids: from theory to application, Cyprus.
12. Burgos GR, Alexandrou AN, Entov V (1999) On the determination of yield surfaces in Herschel-Bulkley fluids. J Rheol 43: 463-483.
13. Carter RE, Warren RC (1987) Extrusion stresses, die swell, and viscous heating effects in double-base propellants. J Rheol 31: 151-173.
14. de Souza Mendes PR, Naccache MF, Varges PR, Marchesini FH (2007) Flow of viscoplastic liquids through axisymmetric expansions-contractions. J Non-Newton Fluid Mech 142: 207-217.
15. Dimakopoulos Y, Tsamopoulos J (2003) Transient displacement of viscoplastic fluids by air in straight or suddenly constricted tubes. J Non-Newton Fluid Mech 112: 43-75.
16. Dimakopoulos Y, Tsamopoulos J (2007) Transient displacement of Newtonian and viscoplastic liquids by air from complex conduits. J Non-Newton Fluid Mech 142: 162-182.
17. Donea J (1984) A Taylor-Galerkin method for convective transport problems. Int J Numer Methods Eng 20: 101-119.
18. Ellwood KRJ, Georgiou GC, Papanastasiou TC, Wilkes JO (1990) Laminar jets of Bingham-plastic liquids. J Rheol 34: 787-812.
19. Frigaard IA, Nouar C (2005) On the usage of viscosity regularization methods for viscoplastic fluid flow computation. J Non-Newton Fluid Mech 127: 1-26.
20. Hartnett JP, Hu RYZ (1989) Technical note: the yield stress-an engineering reality. J Rheol 33: 671-679.
21. Hawken DM, Tamaddon-Jahromi HR, Townsend P, Webster MF (1990) A Taylor-Galerkin based algorithm for viscous incompressible flow. Int J Numer Methods Fluids 10: 327-351.
22. Matallah H, Townsend P, Webster MF (1998) Recovery and stress-splitting schemes for viscoelastic flows. J Non-Newton Fluid Mech 75: 139-166.
23. Mitsoulis E (2007) Annular extrude swell of pseudoplastic and viscoelastic fluids. J Non-Newton Fluid Mech 141: 138-147.
24. Mitsoulis E, Huilgol RR (2004) Entry flows of Bingham plastics in expansions. J Non-Newton Fluid Mech 122: 45-54.
25. Mitsoulis E, Abdali SS, Markatos NC (1993) Flow simulation of Herschel-Bulkley fluids through extrusion dies 71: 147-160.
26. Møllera PCF, Mewisb J, Bonn D (2006) Yield stress and thixotropy: on the difficulty of measuring yield stresses in practice. Soft Matter 2: 274-283.
27. Papanastasiou TC (1987) Flows of materials with yield. J Rheol 31: 385-404.
28. Rothstein JP, McKinley GH (1999) Extensional flow of a polystyrene Boger fluid through a 4: 1: 4 axisymmetric contraction/expansion. J Non-Newton Fluid Mech 86: 61-88.
29. Rothstein JP, McKinley GH (2001) The axisymmetric contraction-expansion: the role of extensional rheology on vortex growth dynamics and the enhanced pressure drop. J Non-Newton Fluid Mech 98: 33-63.
30. Saramito P (2007) A new constitutive equation for elastoviscoplastic fluid flows. J Non-Newton Fluid Mech 145: 1-14.
31. Szabo P, Rallison JM, Hinch EJ (1997) Start-up of flow of a FENE-fluid through a 4: 1: 4 constriction in a tube. J Non-Newton Fluid Mech 72: 73-86.
32. Tamaddon-Jahromi HR, Webster MF, Walters K (2010) Predicting numerically the large increases in extra pressure drop when Boger fluids flow through axisymmetric contractions. J Nat Sci 2: 1-11.
33. Walters K (2009) The yield stress concept-then and now. Plenary lecture given at the YPF 2009 Conference.
34. Walters K, Webster MF, Tamaddon-Jahromi HR (2009a) The numerical simulation of some contraction flows of highly elastic liquids and their impact on the relevance of the Couette correction in extensional rheology. Chem Eng Sci 64: 4632-4639.
35. Walters K, Webster MF, Tamaddon-Jahromi HR (2009b) The White-Metzner model-then and now. The 25th annual meeting of the polymer processing society, Goa.
36. Walters K, Tamaddon-Jahromi HR, Webster MF, Tomé MF, McKee S (2009c) The competing roles of extensional viscosity and normal stress differences in complex flows of elastic liquids. In: 20th anniversary symp., Korean society of rheology, Korea, pp 3-32.
37. Wapperom P, Webster MF (1998) A second-order hybrid finite-element/volume method for viscoelastic flows. J Non-Newton Fluid Mech 79: 405-431.
38. Wapperom P, Webster MF (1999) Simulation for viscoelastic flow by a finite volume/element method. Comput Methods Appl Mech Eng 180: 281-304.
39. Webster MF, Tamaddon-Jahromi HR, Aboubacar M (2004) Transient viscoelastic flows in planar contractions. J Non-Newton Fluid Mech 118: 83-101.
40. Webster MF, Tamaddon-Jahromi HR, Aboubacar M (2005) Time-dependent algorithm for viscoelastic flow-finite element/volume schemes. Numer Methods Partial Differ Equ 21: 272-296.
41. Zienkiewicz OC, Morgan K, Peraire J, Vandati M, LÄohner R (1985) Finite elements for compressible gas flow and similar systems. In: 7th int. conf. comput. meth. appl. sci. eng., Versailles, France.