The effect of expansion ratio for creeping expansion flows of UCM fluids

Journal of Non-Newtonian Fluid Mechanics

Volumn 163, Issue 1-3, 2009, Pages 35-44

  Poole, R J ^a   Pinho, F T ^b   Alves, M A ^b   Oliveira, P J ^c  

^a UNIVERSITY OF LIVERPOOL   (United Kingdom)

^b UNIVERSITY OF PORTO   (Portugal)

^c UNIVERSITY OF BEIRA INTERIOR   (Portugal)

Author keywords

Creeping flow; Expansion ratio effects; Planar sudden expansion; UCM

Indexed keywords

COMBINED EFFECT; COMPLEX INTERACTION; CONVECTED MAXWELL MODEL; COUETTE; CREEPING FLOW; CREEPING FLOWS; DEBORAH NUMBERS; DECREASING FUNCTIONS; EXPANSION FLOW; EXPANSION RATIO; EXPANSION RATIO EFFECTS; LARGE EXPANSION RATIO; NON-MONOTONIC VARIATION; NUMERICAL INVESTIGATIONS; PLANAR SUDDEN EXPANSION; RECIRCULATIONS; SUDDEN EXPANSION; UCM; UCM FLUID; VISCO-ELASTIC FLUID;

EXPANSION;

EID: 70350224136     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2009.06.004     Document Type: Article

References (32)

1. Restivo A.O., and Whitelaw J.H. Turbulence characteristics of the flow downstream of a symmetric, plane sudden expansion. ASME J. Fluids Eng. 100 (1978) 308-310
2. Devenport W.J., and Sutton E.P. An experimental study of two flows through an axisymmetric sudden expansion. Exp. Fluids 14 (1993) 423-432
3. Stevenson W.H., Thompson H.D., and Craig R.R. Laser velocimeter measurements in highly turbulent recirculating flows. ASME J. Fluids Eng. 106 (1984) 173-180
4. Poole R.J., and Escudier M.P. Turbulent flow of a viscoelastic shear-thinning liquid through a plane sudden expansion of modest aspect ratio. J. Non-Newt. Fluid Mech. 112 (2003) 1-26
5. Castro O.S., and Pinho F.T. Turbulent expansion flow of low molecular weight shear-thinning solutions. Exp. Fluids 20 (1995) 42-55
6. Pereira A.S., and Pinho F.T. Turbulent characteristics of shear-thinning fluids in recirculating flows. Exp. Fluids 28 (2000) 266-278
7. Poole R.J., and Escudier M.P. Turbulent flow of viscoelastic liquids through an axisymmetric sudden expansion. J. Non-Newt. Fluid Mech. 117 (2004) 25-46
8. Cherdron W., Durst F., and Whitelaw J.H. Asymmetric flows and instabilities in symmetric ducts with sudden expansions. J. Fluid Mech. 84 (1978) 13-31
9. Drikakis D. Bifurcation phenomena in incompressible sudden expansion flows. Phys. Fluids 9 (1997) 76-87
10. Schreck E., and Schäfer M. Numerical study of bifurcation in three-dimensional sudden channel expansions. Comput. Fluids 29 (2000) 583-593
11. Neofytou P., and Drikakis D. Non-Newtonian flow instability in a channel with a sudden expansion. J. Non-Newt. Fluid Mech. 111 (2003) 127-150
12. Oliveira P.J. Asymmetric flows of viscoelastic fluids in symmetric planar expansion geometries. J. Non-Newt. Fluid Mech. 114 (2003) 33-63
13. Poole R.J., Escudier M.P., and Oliveira P.J. Laminar flow of a viscoelastic shear-thinning liquid through a plane sudden expansion preceded by a gradual contraction. Proc. R. Soc. Lond. Ser. A: Math. Phys. Sci. 461 (2005) 3827-3845
14. Rocha G.N., Poole R.J., and Oliveira P.J. Bifurcation phenomena in viscoelastic flows through a symmetric 1:4 expansion. J. Non-Newt. Fluid Mech. 141 (2007) 1-17
15. Pinho F.T., Oliveira P.J., and Miranda J.P. Pressure losses in the laminar flow of shear-thinning power law fluids across a sudden axisymmetric expansion. Int. J. Heat Fluid Flow 24 (2003) 747-761
16. Poole R.J., Alves M.A., Oliveira P.J., and Pinho F.T. Plane sudden expansion flows of viscoelastic fluids. J. Non-Newt. Fluid Mech. 146 (2007) 79-91
17. Darwish M.S., Whiteman J.R., and Bevis M.J. Numerical modeling of viscoelastic liquids using a finite-volume method. J. Non-Newt. Fluid Mech. 45 (1992) 311-337
18. Missirlis K.A., Assimacopoulos D., and Mitsoulis E. A finite volume approach in the simulation of viscoelastic expansion flows. J. Non-Newt. Fluid Mech. 78 (1998) 91-118
19. Afonso A., and Pinho F.T. Numerical investigation of the velocity overshoots in the flow of viscoelastic fluids inside a smooth contraction. J. Non-Newt. Fluid Mech. 139 (2006) 1-20
20. Oldroyd J.G. On the formulation of rheological equations of state. Proc. R. Soc. Ser. A 200 (1950) 523-541
21. Oliveira P.J., Pinho F.T., and Pinto G.A. Numerical simulation of non-linear elastic flows with a general collocated finite-volume method. J. Non-Newt. Fluid Mech. 79 (1998) 1-43
22. Alves M.A., Oliveira P.J., and Pinho F.T. A convergent and universally bounded interpolation scheme for the treatment of advection. Int. J. Numer. Methods Fluids 41 (2003) 47-75
23. Hung T.-K., and Macagno E.O. Laminar eddies in a two-dimensional conduit expansion. La Houille Blanche 4 (1966) 391-401
24. Macagno E.O., and Hung T.-K. Study of a captive annular eddy. J. Fluid Mech. 28 (1967) 43-64
25. Alves M.A., Oliveira P.J., and Pinho F.T. On the effect of contraction ratio in viscoelastic flow through abrupt contractions. J. Non-Newt. Fluid Mech. 122 (2004) 117-130
26. Oliveira M.S.N., Pinho F.T., Oliveira P.J., and Alves M.A. Effect of contraction ratio upon viscoelastic flow in contractions: the axisymmetric case. J. Non-Newt. Fluid Mech. 147 (2007) 92-108
27. Sisavath S., Jing X.D., Pain C.C., and Zimmerman R.W. Creeping flow through an axisymmetric sudden contraction or expansion. Trans. ASME J. Fluids Eng. 124 (2002) 273-278
28. Pakdel P., and McKinley G.H. Elastic instability and curved streamlines. Phys. Rev. Lett. 77 (1996) 2459-2462
29. McKinley G.H., Pakdel P., and Öztekin A. Geometric and rheological scaling of purely elastic flow instabilities. J. Non-Newt. Fluid Mech. 67 (1996) 19-48
30. Öztekin A., Alakus B., and McKinley G.H. Stability of planar stagnation flow of a highly viscoelastic fluid. J. Non-Newt. Fluid Mech. 72 (1997) 1-29
31. Mompean G., Thompson R.L., and Souza Mendes P.R. A general transformation procedure for differential viscoelastic models. J. Non-Newt. Fluid Mech. 111 (2003) 151-174
32. Astarita G. Objective and generally applicable criteria for flow classification. J. Non-Newt. Fluid Mech. 6 (1979) 69-76