On the effect of contraction ratio in viscoelastic flow through abrupt contractions

Journal of Non-Newtonian Fluid Mechanics

Volumn 122, Issue 1-3, 2004, Pages 117-130

  Alves, Manuel A ^a   Oliveira, Paulo J ^b   Pinho, Fernando T ^c  

^a UNIVERSITY OF PORTO   (Portugal)

^b UNIVERSITY OF BEIRA INTERIOR   (Portugal)

^c UNIVERSITY OF MINHO   (Portugal)

Author keywords

Contraction ratio; Planar contraction; PTT model; Viscoelastic flow

Indexed keywords

CREEP; DIFFERENTIAL EQUATIONS; FINITE ELEMENT METHOD; FLOW VISUALIZATION; NUMERICAL METHODS; OPTICAL RESOLVING POWER; ROBUSTNESS (CONTROL SYSTEMS); VISCOELASTICITY; VORTEX FLOW;

HIGH-RESOLUTION SCHEMES; STREAMLINE PATTERNS; VISCOELASTIC FLOW;

CONFINED FLOW;

CREEP; MATHEMATICAL ANALYSIS; VISCOELASTIC FLOW; VISCOELASTICITY;

EID: 7744232579     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2004.01.022     Document Type: Article

References (24)

1. M.A. Alves P.J. Oliveira F.T. Pinho A convergent and universally bounded interpolation scheme for the treatment of advection Int. J. Numer. Meth. Fluids 41 2003 47-75
2. O. Hassager in: Working group on numerical techniques in: Proceedings of the Fifth Workshop on Numerical Methods in Non-Newtonian Flow J. Non-Newton. Fluid Mech. 29 1988 2-5
3. S. Nigen K. Walters Viscoelastic contraction flows: Comparison of axisymmetric and planar configurations J. Non-Newton. Fluid Mech. 102 2002 343-359
4. H. Nguyen D.V. Boger The kinematics and stability of die entry flows J. Non-Newton. Fluid Mech. 5 1979 353-368
5. D.V. Boger Viscoelastic Flows through contractions Ann. Rev. Fluid Mech. 19 1987 157-182
6. R.E. Evans K. Walters Flow characteristics associated with abrupt changes in geometry in the case of highly elastic liquids J. Non-Newton. Fluid Mech. 20 1986 11-29
7. M.A. Alves P.J. Oliveira F.T. Pinho Benchmark solutions for the flow of Oldroyd-B and PTT fluids in planar contractions J. Non-Newton. Fluid Mech. 110 2003 45-75
8. N. Phan-Thien R.I. Tanner A new constitutive equation derived from network theory J. Non-Newton. Fluid Mech. 2 1977 353-365
9. D.V. Boger D.U. Hur R.J. Binnington Further observations of elastic effects in tubular entry flows J. Non-Newton. Fluid Mech. 20 1986 31-49
10. R.E. Evans K. Walters Further remarks on the lip-vortex mechanism of vortex enhancement in planar-contraction flows J. Non-Newton. Fluid Mech. 32 1989 95-105
11. G.H. McKinley W.P. Raiford R.A. Brown R.C. Armstrong Nonlinear dynamics of viscoelastic flow in axisymmetric abrupt contractions J. Fluid Mech. 223 1991 411-456
12. J.M. Maia D. Binding Influence of elongational properties on the contraction flow of polyisobutylene in a mixed solvent Rheol. Acta 38 1999 160-171
13. M.A. Alves F.T. Pinho P.J. Oliveira Effect of a high-resolution differencing scheme on finite-volume predictions of viscoelastic flows J. Non-Newton. Fluid Mech. 93 2000 287-314
14. C. Béraudo A. Fortin T. Coupez Y. Demay B. Vergnes J.F. Agassant A finite element method for computing the flow of multi-mode viscoelastic fluids: Comparison with experiments J. Non-Newton. Fluid Mech. 75 1998 1-23
15. P.J. Coates R.C. Armstrong R.A. Brown Calculation of steady-state viscoelastic flow through axisymmetric contractions with the EEME formulation J. Non-Newton. Fluid Mech. 42 1992 141-188
16. M. Aboubacar H. Matallah M.F. Webster Highly elastic solutions for Oldroyd-B and Phan-Thien/Tanner fluids with a finite volume/element method: Planar contraction flows J. Non-Newton. Fluid Mech. 103 2002 65-103
17. L.M. Quinzani R.C. Armstrong R.A. Brown Use of coupled birefringence and LDV studies of flow through a planar contraction to test constitutive equations for concentrated polymer solutions J. Rheol. 39 1995 1201-1228
18. P.J. Oliveira F.T. Pinho G.A. Pinto Numerical simulation of non-linear elastic flows with a general collocated finite-volume method J. Non-Newton. Fluid Mech. 79 1998 1-43
19. B.P. Leonard Bounded higher-order upwind multidimensional finite-volume convection-diffusion algorithms in: W.J. Minkowycz E.M. Sparrow (Eds.) Advances in Numerical Heat Transfer 1 1996 Taylor and Francis 1-57
20. A. Harten High-resolution schemes for hyperbolic conservation laws J. Comput. Phys. 49 1983 357-393
21. P.H. Gaskell A.K.C. Lau Curvature compensated convective transport: SMART, a new boundedness preserving transport algorithm Int. J. Numer. Meth. Fluids 8 1988 617-641
22. B.P. Leonard A stable and accurate convective modelling procedure based on quadratic interpolation Comput. Meth. Appl. Mech. Eng. 19 1979 59-98
23. P.J. Oliveira F.T. Pinho Analytical solution for fully developed channel and pipe flow of Phan-Thien-Tanner fluids J. Fluid Mech. 387 1999 271-280
24. D.V. Boger M.J. Crochet R.A. Keiller On viscoelastic flows through abrupt contractions J. Non-Newton. Fluid Mech. 44 1992 267-279