Excess pressure-drop estimation in contraction and expansion flows for constant shear-viscosity, extension strain-hardening fluids

Journal of Non-Newtonian Fluid Mechanics

Volumn 153, Issue 2-3, 2008, Pages 157-176

  Aguayo, J P ^a   Tamaddon Jahromi, H R ^a   Webster, M F ^a  

^a SWANSEA UNIVERSITY   (United Kingdom)

Author keywords

4:1:4 constriction rounded corner; Boger fluid; Excess pressure drop; Hybrid finite element volume; Viscoelasticity

Indexed keywords

DROPS; FLUID DYNAMICS; FLUID MECHANICS; HARDENING; HYDRODYNAMICS; NEWTONIAN LIQUIDS; NUMERICAL ANALYSIS; PRESSURE; SHEAR STRAIN; SHEARING MACHINES; SHRINKAGE; VISCOSITY;

AXISYMMETRIC; BOGER FLUIDS; CONSTANT SHEAR; ELSEVIER (CO); EXCESS PRESSURE; EXPERIMENTAL OBSERVATIONS; FLOW GEOMETRIES; MATERIAL PARAMETERS; NEWTONIAN FLUIDS; OLDROYD B FLUIDS; OLDROYD MODELS; PLANAR CONFIGURATIONS; PREDICTIVE CAPABILITIES; STRAIN-HARDENING; TIME-STEPPING; VISCOSITY FLUIDS; VISCOSITY RATIOS;

FLUIDS;

EID: 47049107760     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2008.05.004     Document Type: Article

References (28)

1. Aboubacar M., Matallah H., Tamaddon-Jahromi H.R., and Webster M.F. Numerical prediction of extensional flows in contraction geometries: hybrid finite volume element method. J. Non-Newton. Fluid Mech. 104 (2002) 125-164
2. Aboubacar M., Matallah H., and Webster M.F. 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
3. Aboubacar M., Phillips T.N., Tamaddon-Jahromi H.R., Webster M.F., and Williams A.J. Numerical simulation of contraction flows for Boger fluids using finite volume methods. In: Münstedt H., Kaschta J., and Merten A. (Eds). Proceedings of the Sixth European Conference on Rheology (2002), Erlangen, Germany 279-280
4. Szabo P., Rallison J.M., and Hinch E.J. Start-up of flow of a FENE-fluid through a 4:1:4 constriction in a tube. J. Non-Newton. Fluid Mech. 72 (1997) 73-86
5. Chilcott M.D., and Rallison J.M. Creeping flow of dilute polymer solutions past cylinders and spheres. J. Non-Newton. Fluid Mech. 29 (1988) 381-432
6. Cartalos U., and Piau J.M. Creeping flow regimes of low concentration polymer solutions in thick solvents through an orifice die. J. Non-Newton. Fluid Mech. 45 (1992) 231-285
7. Wapperom P., and Keunings R. Numerical simulation of branched polymer melts in transient complex flow using pom-pom models. J. Non-Newton. Fluid Mech. 97 (2001) 267-281
8. Binding D.M., Phillips P.M., and Phillips T.N. Contraction/expansion flows: the pressure drop and related issue. J. Non-Newton. Fluid Mech. 137 (2006) 31-38
9. Nigen S., and Walters K. Viscoelastic contraction flows: comparison of axisymmetric and planar configurations. J. Non-Newton. Fluid Mech. 102 (2002) 343-359
10. Boger D.V. A highly elastic constant-viscosity fluid. J. Non-Newton. Fluid Mech. 3 (1977) 87-91
11. Rothstein J.P., and McKinley G.H. The axisymmetric contraction-expansion: the role of extensional rheology on vortex growth dynamics and the enhanced pressure drop. J. Non-Newton. Fluid Mech. 98 (2001) 33-63
12. Rothstein J.P., and McKinley G.H. Extensional flow of a polystyrene Boger fluid through a 4:1:4 axisymmetric contraction/expansion. J. Non-Newton. Fluid Mech. 86 (1999) 61-88
13. Maia J.M., and Binding D. Influence of elongational properties on the contraction flow of polyisobutylene in a mixed solvent. Rheol. Acta 38 (1999) 160-171
14. Maia J.M. Theoretical modelling of fluid S1: a comparative study of constitutive models in sample and complex flows. J. Non-Newton. Fluid Mech. 85 (1999) 107-125
15. Rodd L.E., Scott T.P., Boger D.V., Cooper-White J.J., and McKinley G.H. The inertio-elastic planar entry flow of low-viscosity elastic fluids in micro-fabricated geometries. J. Non-Newton. Fluid Mech. 129 (2005) 1-22
16. Perera M.G.N., and Walters K. Long range memory effects in flows involving abrupt changes in geometry. Part 1. Flows associated with L-shaped and T-shaped geometries. J. Non-Newton. Fluid Mech. 2 (1977) 49-81
17. Perera M.G.N., and Walters K. Long range memory effects in flows involving abrupt changes in geometry. Part 2. The expansion/contraction/expansion problem. J. Non-Newton. Fluid Mech. 2 (1977) 191-204
18. Keiller R.A. Entry-flow calculations for the Oldroyd-B and FENE equations. J. Non-Newton. Fluid Mech. 46 (1993) 143-178
19. Webster M.F., Tamaddon-Jahromi H.R., and Aboubacar M. Transient viscoelastic flows in planar contractions. J. Non-Newton. Fluid Mech. 118 (2004) 83-101
20. Webster M.F., Tamaddon-Jahromi H.R., and Aboubacar M. Time-dependent algorithms for viscoelastic flow-finite element/volume schemes. Numer. Methods Part. Diff. Eqns. 121 (2005) 272-296
21. Donea J. A Taylor Galerkin method for convective transport problems. Int. J. Numer. Methods Eng. 20 (1984) 101-119
22. Zienkiewicz O.C., Morgan K., Peraire J., Vandati M., and Löhner R. Finite elements for compressible gas flow and similar systems. Proceedings of the Seventh International Conference on Comput. Meth. Appl. Sci. Eng (1985), Versailles, France
23. Van Kan J. A second-order accurate pressure-correction scheme for viscous incompressible flow. SIAM J. Sci. Stat. Comput. 7 (1986) 870-891
24. Guermond J.L., and Quartapelle L. On stability and convergence of projection methods based on pressure Poisson equation. Int. J. Numer. Methods Fluids 26 (1998) 1039-1053
25. P.M. Phillips, The characterisation of some non-Newtonian fluids and experimental measurements and observations in a contraction expansion geometry, Technical report, Department of Mathematics, University of Wales, Aberystwyth, 2005.
26. Alves M.A., Oliveira P.J., and Pinho F.T. Benchmark solutions for the flow of Oldroyd-B and PTT fluids in planar contractions. J. Non-Newton. Fluid Mech. 110 (2003) 45-75
27. Binding D.M., Blythe A.R., Gunter S., Mosquera A.A., Townsend P., and Webster M.F. Modelling polymer melt flows in wirecoating processes. J. Non-Newton. Fluid Mech. 64 (1996) 191-206
28. Mompean G. On predicting abrupt contraction flows with differential and algebraic viscoelastic models. Comput. Fluids 31 (2002) 935-956