Viscoelastic flow in a 3D square/square contraction: Visualizations and simulations

Journal of Rheology

Volumn 52, Issue 6, 2008, Pages 1347-1368

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

^a UNIVERSITY OF PORTO   (Portugal)

^b UNIVERSITY OF BEIRA INTERIOR   (Portugal)

Author keywords

3D 4:1 contraction flow; Computational rheology; Multimode PTT model; Viscoelastic fluid

Indexed keywords

CHANNEL FLOW; COLLOIDS; ELASTICITY; FLUID DYNAMICS; FORECASTING; LIQUIDS; NEWTONIAN LIQUIDS; PLASTICITY; REYNOLDS NUMBER; RHEOLOGY; SHRINKAGE; STEADY FLOW; THREE DIMENSIONAL; VISCOSITY; VISUALIZATION; VORTEX FLOW;

3D 4:1 CONTRACTION FLOW; COMPUTATIONAL RHEOLOGY; DYNAMIC PROCESSES; FLOW REVERSALS; FLUID ELASTICITIES; FLUID PARTICLES; FLUID RHEOLOGIES; INELASTIC FLUIDS; MULTIMODE; MULTIMODE PTT MODEL; NEWTONIAN FLUIDS; NON NEWTONIANS; NUMERICAL PREDICTIONS; ON FLOWS; PERIODIC FLOWS; VISCOELASTIC FLOWS; VISCOELASTIC FLUID; VISCOELASTIC MODELS;

FLUIDS;

EID: 56049125061     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.2982514     Document Type: Article

References (41)

1. Alves, M. A., P. J. Oliveira, and F. T. Pinho, " A convergent and universally bounded interpolation scheme for the treatment of advection.," Int. J. Numer. Methods Fluids 41, 47-75 (2003a).
2. Alves, M. A., P. J. Oliveira, and F. T. Pinho, " Benchmark solutions for the flow of Oldroyd-B and PTT fluids in planar contractions.," J. Non-Newtonian Fluid Mech. 110, 45-75 (2003b).
3. Alves, M. A., D. Torres, M. P. Goņalves, P. J. Oliveira, and F. T. Pinho, " Visualization studies of viscoelastic flow in a 4:1 square/square contraction.," COBEM 2003, 17th International Congress of Mechanical Engineering, São Paulo, Brazil 2003, 2003c.
4. Alves, M. A., P. J. Oliveira, and F. T. Pinho, " On the effect of contraction ratio in viscoelastic flow through abrupt contractions.," J. Non-Newtonian Fluid Mech. 122, 117-130 (2004).
5. Alves, M. A., F. T. Pinho, and P. J. Oliveira, " Visualizations of Boger fluid flows in a 4:1 square-square contraction.," AIChE J. 51, 2908-2922 (2005).
6. Alves, M. A., and R. J. Poole, " Divergent flow in contractions.," J. Non-Newtonian Fluid Mech. 144, 140-148 (2007).
7. Boger, D. V., " Viscoelastic flows through contractions.," Annu. Rev. Fluid Mech. 19, 157-182 (1987).
8. Boger, D. V., and K. Walters, Rheological Phenomena in Focus (Elsevier, Amsterdam, 1993).
9. Boger, D. V., D. U. Hur, and R. J. Binnington, " Further observations of elastic effects in tubular entry flows.," J. Non-Newtonian Fluid Mech. 20, 31-49 (1986).
10. Brown, R. A., and G. H. McKinley, " Report on the VIIIth International Workshop on Numerical-Methods in Viscoelastic Flows.," J. Non-Newtonian Fluid Mech. 52, 407-413 (1994).
11. Cable, P. J., and D. V. Boger, " A comprehensive experimental investigation of tubular entry flow of viscoelastic fluids: Part I. Vortex characteristics in stable flow.," AIChE J. 24, 868-879 (1978a).
12. Cable, P. J., and D. V. Boger, " A comprehensive experimental investigation of tubular entry flow of viscoelastic fluids: Part II. The velocity fields in stable flow.," AIChE J. 24, 992-999 (1978b).
13. Cable, P. J., and D. V. Boger, " A comprehensive experimental investigation of tubular entry flow of viscoelastic fluids: Part III. Unstable flow.," AIChE J. 25, 152-159 (1979).
14. Carvalho, J. R. F. G., J. M. P. Q. Delgado, and M. A. Alves, " Diffusion cloud around and downstream of active sphere immersed in granular bed through which fluid flows.," Chem. Eng. Sci. 62, 2813-2820 (2007).
15. Coates, P. J., R. C. Armstrong, and R. A. Brown, " Calculation of steady-state viscoelastic flow through axisymmetrical contractions with the EEME formulation.," J. Non-Newtonian Fluid Mech. 42, 141-188 (1992).
16. Collis, M. W., A. K. Lee, M. R. Mackley, R. S. Graham, D. J. Groves, A. E. Likhtman, T. M. Nicholson, O. G. Harlen, T. C. B. McLeish, L. R. Hutchings, C. M. Fernyhough, and R. N. Young, " Constriction flows of monodisperse linear entangled polymers: Multiscale modeling and flow visualization.," J. Rheol. 49, 501-522 (2005).
17. Crochet, M. J., A. R. Davies, and K. Walters, Numerical Simulation of Non-Newtonian Flow (Elsevier, New York, 1984).
18. Evans, R. E., and K. Walters, " Flow characteristics associated with abrupt changes in geometry in the case of highly elastic liquids.," J. Non-Newtonian Fluid Mech. 20, 11-29 (1986).
19. Evans, R. E., and K. Walters, " Further remarks on the lip-vortex mechanism of vortex enhancement in planar contraction flows.," J. Non-Newtonian Fluid Mech. 32, 95-105 (1988).
20. Ferreira, V. G., C. M. Oishi, F. A. Kurokawa, M. K. Kaibara, J. A. Cuminato, A. Castelo, N. Mangiavacchi, M. F. Toḿ, and S. McKee, " A combination of implicit and adaptative upwind tools for the numerical solution of incompressible free surface flows.," Commun. Numer. Methods Eng. 23, 419-445 (2007).
21. Hassager, O., " Working group on numerical techniques. Fifth International Workshop on Numerical Methods in Non-Newtonian Flows, Lake Arrowhead, USA.," J. Non-Newtonian Fluid Mech. 29, 2-5 (1988).
22. Khosla, P. K., and S. G. Rubin, " A diagonally dominant second-order accurate implicit scheme.," Comput. Fluids 2, 207-209 (1974).
23. Lee, K., M. R. Mackley, T. C. B. McLeish, T. M. Nicholson, and O. G. Harlen, " Experimental observation and numerical simulation of transient stress fangs within flowing molten polyethylene.," J. Rheol. 45, 1261-1277 (2001).
24. McKinley, G. H., W. P. Raiford, R. A. Brown, and R. C. Armstrong, " Nonlinear dynamics of viscoelastic flow in axisymmetric abrupt contractions.," J. Fluid Mech. 223, 411-456 (1991).
25. Mompean, G., and M. Deville, " Unsteady finite volume simulation of Oldroyd-B fluid through a three-dimensional planar contraction.," J. Non-Newtonian Fluid Mech. 72, 253-279 (1997).
26. Oliveira, P. J., and F. T. Pinho, " Numerical procedure for the computation of fluid flow with arbitrary stress-strain relationships.," Numer. Heat Transfer, Part B 35, 295-315 (1999).
27. Oliveira, P. J., F. T. Pinho, and G. A. Pinto, " Numerical simulation of non-linear elastic flows with a general collocated finite-volume method.," J. Non-Newtonian Fluid Mech. 79, 1-43 (1998).
28. Oliveira, M. S. N., F. T. Pinho, P. J. Oliveira, and M. A. Alves, " Effect of contraction ratio upon viscoelastic flow in contractions: The axisymmetric case.," J. Non-Newtonian Fluid Mech. 147, 92-108 (2007).
29. Owens, R. G., and T. N. Phillips, Computational Rheology (Imperial College Press, London, 2002).
30. Phan-Thien, N., and R. I. Tanner, " A new constitutive equation derived from network theory.," J. Non-Newtonian Fluid Mech. 2, 353-365 (1977).
31. Poole, R. J., M. A. Alves, and P. J. Oliveira, " Purely-elastic flow asymmetries.," Phys. Rev. Lett. 99, 164503 (2007).
32. Purnode, B., and M. J. Crochet, " Flows of polymer solutions through contractions. Part 1: Flows of polyacrylamide solutions through planar contractions.," J. Non-Newtonian Fluid Mech. 65, 269-289 (1996).
33. Quinzani, L. M., R. C. Armstrong, and R. A. Brown, " Birefringence and laser-Doppler velocimetry (LDV) studies of viscoelastic flow through a planar contraction.," J. Non-Newtonian Fluid Mech. 52, 1-36 (1994).
34. Rothstein, J. P., and G. H. McKinley, " Extensional flow of a polystyrene Boger fluid through a 4:1:4 axisymmetric contraction/expansion., " J. Non-Newtonian Fluid Mech. 86, 61-88 (1999).
35. Santos, J. C., P. Cruz, M. A. Alves, P. J. Oliveira, F. D. Magalhães, and A. Mendes, " Adaptive multiresolution approach for two-dimensional PDEs.," Comput. Methods Appl. Mech. Eng. 193, 405-425 (2004).
36. Sirakov, I., A. Ainser, M. Haouche, and J. Guillet, " Three-dimensional numerical simulation of viscoelastic contraction flows using the Pom-Pom differential constitutive model.," J. Non-Newtonian Fluid Mech. 126, 163-173 (2005).
37. Walters, K., and D. M. Rawlinson, " On some contraction flows for Boger fluids.," Rheol. Acta 21, 547-552 (1982).
38. Walters, K., and M. F. Webster, " On dominating elastico-viscous response in some complex flows.," Philos. Trans. R. Soc. London, Ser. A 308, 199-218 (1982).
39. Walters, K., and M. F. Webster, " The distinctive CFD challenges of computational rheology.," Int. J. Numer. Methods Fluids 43, 577-596 (2003).
40. Xue, S. C., N. Phan-Thien, and R. I. Tanner, " Three dimensional numerical simulations of viscoelastic flows through planar contractions.," J. Non-Newtonian Fluid Mech. 74, 195-245 (1998a).
41. Xue, S. C., N. Phan-Thien, and R. I. Tanner, " Numerical investigations of Lagrangian unsteady extensional flows of viscoelastic fluids in 3-D rectangular ducts with sudden contractions.," Rheol. Acta 37, 158-169 (1998b).