Laminar flow in three-dimensional square-square expansions

Journal of Non-Newtonian Fluid Mechanics

Volumn 166, Issue 17-18, 2011, Pages 1033-1048

  Sousa, P C ^a   Coelho, P M ^a   Oliveira, M S N ^a   Alves, M A ^a  

^a UNIVERSITY OF PORTO   (Portugal)

Author keywords

3D expansion flow; Boger fluid; Flow visualization; Numerical simulations; PIV; Viscoelastic fluid

Indexed keywords

BOGER FLUIDS; EXPANSION FLOW; EXPANSION RATIO; FLOW INERTIA; HELICAL FLOWS; NEWTONIAN FLUID FLOW; NEWTONIANS; NON-NEWTONIAN FLUIDS; NUMERICAL PREDICTIONS; NUMERICAL RESULTS; OLDROYD-B; PARTICLE IMAGE VELOCIMETRIES; PIV; PRESSURE DROP MEASUREMENTS; RECIRCULATIONS; SHEAR THINNING; SIMPLE GEOMETRIES; THREE-DIMENSIONAL FLOW; THREE-DIMENSIONAL LAMINAR FLOWS; THREE-DIMENSIONAL STRUCTURE; VELOCITY FIELD; VISCO-ELASTIC FLUID; VORTEX SIZE;

CONSTITUTIVE EQUATIONS; ELASTICITY; EXPANSION; FLUID DYNAMICS; FLUIDS; INVESTMENTS; LAMINAR FLOW; NON NEWTONIAN FLOW; NON NEWTONIAN LIQUIDS; PRESSURE DROP; SHEAR FLOW; THREE DIMENSIONAL; VELOCITY; VELOCITY MEASUREMENT; VORTEX FLOW;

FLOW VISUALIZATION;

EID: 79960608007     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2011.06.002     Document Type: Article

References (46)

1. Boger D.V. Viscoelastic flows through contractions. Ann. Rev. Fluid Mech. 1987, 19:157-182.
2. Rothstein J.P., McKinley G.H. Extensional flow of a polystyrene Boger fluid through a 4:1:4 axisymmetric contraction/expansion. J. Non-Newt. Fluid Mech. 1999, 86:61-88.
3. Mompean G., Deville M. Corrigendum to " Unsteady finite volume simulation of Oldroyd-B fluid through a three-dimensional planar contraction" J. Non-Newt. Fluid Mech. 2002, 103:271-272. J. Non-Newt. Fluid Mech. 72 (1997) 253-279.
4. Nigen S., Walters K. Viscoelastic contraction flows: comparison of axisymmetric and planar configurations. J. Non-Newt. Fluid Mech. 2002, 102:343-359.
5. Alves M.A., Oliveira P.J., Pinho F.T. On the effect of contraction ratio in viscoelastic flow through abrupt contractions. J. Non-Newt. Fluid Mech. 2004, 122:117-130.
6. Rodd L.E., Scott T.P., Boger D.V., Cooper-White J.J., McKinley G.H. The inertio-elastic planar entry flow of low-viscosity elastic fluids in micro-fabricated geometries. J. Non-Newt. Fluid Mech. 2005, 129:1-22.
7. Oliveira M.S.N., Oliveira P.J., Pinho F.T., Alves M.A. Effect of contraction ratio upon viscoelastic flow in contractions: the axisymmetric case. J. Non-Newt. Fluid Mech. 2007, 147:92-108.
8. Sousa P.C., Coelho P.M., Oliveira M.S.N., Alves M.A. Three-dimensional flow of a Newtonian and Boger fluids in square-square contractions. J. Non-Newt. Fluid Mech. 2009, 160:122-139.
9. Cogswell F.N. Converging flow and stretching flow: a compilation. J. Non-Newt. Fluid Mech. 1978, 4:23-38.
10. Binding D.M. An approximate analysis for contraction and converging flows. J. Non-Newt. Fluid Mech. 1988, 27:173-189.
11. Hung T.-K., Macagno E.O. Laminar eddies in a two-dimensional conduit expansion. La Houille Blanche 1966, 21:391-401.
12. Macagno E.O., Hung T.-K. Computational and experimental study of a captive annular eddy. J. Fluid Mech. 1967, 28:43-64.
13. Durst F., Melling A., Whitelaw J.H. Low Reynolds number flow over a plane symmetric sudden expansion. J. Fluid Mech. 1974, 64:111-128.
14. Moffatt H.K. Viscous and resistive eddies near a sharp corner. J. Fluid Mech. 1964, 18:1-18.
15. Acrivos A., Schrader M.L. Steady flow in a sudden expansion at high Reynolds number. J. Phys. Fluids 1982, 25:923-930.
16. Milos F.S., Acrivos A., Kim J. Steady flow past sudden expansion at large Reynolds number-II. Navier-Stokes solutions for the cascade expansion. J. Phys. Fluids 1987, 30:7-18.
17. Towsend P., Walters K. Expansion flows of non-Newtonian liquids. Chem. Eng. Sci. 1994, 49:749-763.
18. Baloch A., Townsend P., Webster M.F. On two- and three-dimensional expansion flows. Computers and Fluids 1995, 24:863-882.
19. Baloch A., Townsend P., Webster M.F. On vortex development in viscoelastic expansion and contraction flows. J. Non-Newt. Fluid Mech. 1996, 65:133-149.
20. Phan-Thien N., Tanner R.I. A new constitutive equation derived from network theory. J. Non-Newt. Fluid Mech. 1977, 2:353-365.
21. Phan-Thien N. A non-linear network viscoelastic model. J. Rheol. 1978, 22:259-283.
22. Halmos A.L., Boger D.V. Flow of viscoelastic polymer solutions through an abrupt 2-to-1 expansion. Trans. Soc. Rheol. 1976, 20:253-264.
23. Poole R.J., Alves M.A., Oliveira P.J., Pinho F.T. Plane sudden expansion flows of viscoelastic liquids. J. Non-Newt. Fluid Mech. 2007, 146:79-91.
24. Poole R.J., Pinho F.T., Alves M.A., Oliveira P.J. The effect of expansion ratio for creeping expansion flows of UCM fluids. J. Non-Newt. Fluid Mech. 2009, 163:35-44.
25. Cherdron W., Durst F., Whitelaw J.H. Asymmetric flows and instabilities in symmetric ducts with sudden expansions. J. Fluid Mech. 1978, 84:13-31.
26. Fearn R.M., Mullin T., Cliffe K.A. Nonlinear phenomena in a symmetric sudden expansion. J. Fluid Mech. 1990, 211:595-608.
27. Manica R., De Bortoli A.L. Simulation of sudden expansion flows for power-law fluids. J. Non-Newt. Fluid Mech. 2004, 121:35-40.
28. Neofytou P. Transition to asymmetry of generalised Newtonian fluid flows through a symmetric sudden expansion. J. Non-Newt. Fluid Mech. 2006, 133:132-140.
29. Oliveira P.J. Asymmetric flows of viscoelastic fluids in symmetric planar expansion geometries. J. Non-Newt. Fluid Mech. 2003, 114:33-63.
30. Rocha G.N., Poole R.J., Oliveira P.J. Bifurcation phenomema in viscoelastic flows through a symmetric 1:4 expansion. J. Non-Newt. Fluid Mech. 2007, 141:1-17.
31. Oliveira M.S.N., Rodd L.E., McKinley G.H., Alves M.A. Simulations of extensional flow in microrheometric devices. Microfluid Nanofluid 2008, 5:809-826.
32. Dales C., Escudier M.P., Poole R.J. Asymmetry in the turbulent flow of a viscoelastic liquid through an axisymmetric sudden expansion. J. Non-Newt. Fluid Mech. 2005, 125:61-70.
33. Mullin T., Seddon J.R.T., Mantle M.D., Sederman A.J. Bifurcation phenomena in the flow through a sudden expansion in a circular pipe. Phys. Fluids 2009, 21:14106-14110.
34. Burgos G., Alexandrou N.A. Flow development of Herschel-Bulkley fluids in sudden 3-D expansion. J. Rheol. 1999, 43:485-498.
35. Alexandrou N.A., McGilvreay T.M., Burgos G. Steady Herschel-Bulkley fluid flow in three-dimensional expansions. J. Non-Newt. Fluid Mech. 2001, 100:77-96.
36. Keane R.D., Adrian R.J. Theory of cross-correlation analysis of PIV images. Appl. Sci. Res. 1992, 49:191-215.
37. Dealy J., Plazek D. Time-temperature superposition - a users guide. Rheol. Bull. 2009, 78:16-31.
38. Oliveira P.J., Pinho F.T., Pinto G.A. Numerical simulation of non-linear elastic flows with a general collocated finite-volume method. J. Non-Newt. Fluid Mech. 1998, 79:1-43.
39. Coates P.J., Armstrong R.C., Brown R.A. Calculation of steady-state viscoelastic flow through axisymmetric contractions with the EEME formulation. J. Non-Newt. Fluid Mech. 1992, 42:141-188.
40. Oliveira P.J., Miranda A.I.P. A numerical study of steady and unsteady viscoelastic flow past bounded cylinders. J. Non-Newt. Fluid Mech. 2005, 127:51-66.
41. Sousa P.C., Coelho P.M., Oliveira M.S.N., Alves M.A. Effect of the contraction ratio upon viscoelastic fluid flow in three-dimensional square-square contractions. Chem. Eng. Sci. 2011, 66:998-1009.
42. Alves M.A., Oliveira P.J., Pinho F.T. A convergent and universally bounded interpolation scheme for the treatment of advection. Int. J. Numer. Methods Fluids 2003, 41:47-75.
43. Alves M.A., Pinho F.T., Oliveira P.J. Visualizations of Boger fluid flows in a 4:1 square-square contraction. AIChE J. 2005, 51:2908-2922.
44. Alves M.A., Pinho F.T., Oliveira P.J. Viscoelastic flow in a 3D square/square contraction: visualizations and simulations. J. Rheol. 2008, 52:1347-1368.
45. Rothstein J.P., McKinley G.H. The axisymmetric contraction-expansion: the role of extensional rheology on vortex growth dynamics and the enhanced pressure drop. J. Fluid Mech. 2001, 98:33-63.
46. Bird R.B., Armstrong R.C., Hassager O. Dynamics of polymeric liquids, (vol. 1), Fluid Dynamics 1987, John Wiley & Sons, New York.