Extension of axisymmetric flow birefringence to a time-dependent stagnation flow

Journal of Non-Newtonian Fluid Mechanics

Volumn 108, Issue 1-3, 2002, Pages 257-273

  Bryant, J E ^a   Burghardt, W R ^a  

^a Northwestern University   (United States)

Author keywords

Flow birefringence; Stagnation flow; Uniaxial and Equibiaxial Extension

Indexed keywords

BIREFRINGENCE; BROWNIAN MOVEMENT; MOLECULAR WEIGHT; POLYSTYRENES; RHEOLOGY; VISCOELASTICITY;

POLYMER SOLUTION;

NON NEWTONIAN FLOW;

AXISYMMETRIC FLOW; FLOW MODELING; STAGNATION FLOW;

EID: 0037203450     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0257(02)00133-7     Document Type: Article

References (38)

1. F.P.T. Baaijens, Mixed finite element methods for viscoelastic flow analysis: A review, J. Non-Newtonian Fluid Mech. 79 (1998) 361-385.
2. H.P.W. Baaijens, G.W.M. Peters, F.P.T. Baaijens, H.E.H. Meijer, Viscoelastic flow past a confined cylinder of a polyisobutylene solution, J. Rheol. 39 (1995) 1243-1277.
3. F.P.T. Baaijens, S.H.A. Selen, H.P.W. Baaijens, G.W.M. Peters, H.E.H. Meijer, Viscoelastic flow past a confined cylinder of a low density polyethylene melt, J. Non-Newtonian Fluid Mech. 68 (1997) 173-203.
4. C. Beraudo, A. Fortin, T. Coupez, Y. Demay, B. Vergnes, J.F. Agassant, A finite element method for computing the flow of multi-mode viscoelastic fluids: Comparisons with experiments, J. Non-Newtonian Fluid Mech. 75 (1998) 1-23.
5. A.W. Liu, D.E. Bornside, R.C. Armstrong, R.A. Brown, Viscoelastic flow of polymer solutions around a periodic, linear array of cylinders: Comparison of predictions for microstructure and flow fields, J. Non-Newtonian Fluid Mech. 77 (1998) 187-201.
6. J.F.M. Schoonen, F.H.M. Swartjes, F.W.M. Peters, F.P.T. Baaijens, H.E.H. Meijer, A 3D numerical/experimental study on a stagnation flow of a polyisobutylene solution, J. Non-Newtonian Fluid Mech. 79 (1998) 529-561.
7. A.C.B. Bogaerds, W.M.H. Verbeeten, G.W.M. Paters, F.P.T. Baaijens, 3D viscoelastic analysis of a polymer solution in a complex flow, Comp. Methods Appl. Mech. Eng. 180 (1999) 413-430.
8. K. Feigl, H.C. Ottinger, The flow of a LDPE melt through an axisymmetric contraction: A numerical study and comparison to experimental results, J. Rheol. 38 (1994) 847-874.
9. G. Barakos, E. Mitsoulis, Numerical simulation of viscoelastic flowaround a cylinder using an integral constitutive equation, J. Rheol. 39 (1995) 1279-1292.
10. K. Feigl, H.C. Öttinger, A numerical study of the flow of a low-density-polyethylene melt in a planar contraction and comparison to experiments, J. Rheol. 40 (1996) 21-35.
11. O.G. Harlen, J.M. Rallison, P. Szabo, A split Lagrangian-Eulerian method for simulating transient viscoelastic flows, J. Non-Newtonian Fluid Mech. 60 (1995) 81-104.
12. H.K. Rasmussen, Time-dependent finite-element method for the simulation of three-dimensional viscoelastic flow with integral models, J. Non-Newtonian Fluid Mech. 84 (1999) 217-232.
13. R. Sureshkumar, M.D. Smith, R.C. Armstrong, R.A. Brown, Linear stability and dynamics of viscoelastic flows using time-dependent numerical simulations, J. Non-Newtonian Fluid Mech. 83 (1999) 57-104.
14. G.B. Bishko, O.G. Harlen, T.C.B. Mcleish, T.M. Nicholson, Numerical simulation of the transient flowof branched polymer melts through a planar contraction using the 'pom-pom' model, J. Non-Newtonian Fluid Mech. 82 (1999) 255-273.
15. H.K. Rasmussen, O. Hassager, The role of surface tension on the elastic decohesion of polymeric filaments, J. Rheol. 45 (2001) 527-537.
16. M. Laso, H.C. Ottinger, Calculation of viscoelastic flow using molecular models: The CONNFFESSIT approach, J. Non-Newtonian Fluid Mech. 47 (1993) 1-20.
17. C.C. Hua, J.D. Schieber, Application of kinetic theory models in spatiotemporal flows for polymer solutions, Chem. Eng. Sci. 51 (1996) 1473-1485.
18. M.A. Hulsen, A.P.G. van Heel, B.H.A.A. van den Brule, Simulation of viscoelastic flows using Brownian configuration fields, J. Non-Newtonian Fluid Mech. 70 (1997) 79-101.
19. E.A.J.F. Peters, A.P.G. van Heel, M.A. Hulsen, B.H.A.A. van den Brule, Generalization of the deformation field method to simulate advanced reptation models in complex flow, J. Rheol. 44 (2000) 811-829.
20. S.H. Spiegelberg, G.H. McKinley, Elastic and viscous contributions to stress in extensional rheometry of viscous polymer solutions, in: Proceedings of the XIth International Congress on Rheology, Quebec City, Canada, 1996, pp. 211-212.
21. P.S. Doyle, E.S.G. Shaqfeh, G.H. McKinley, S.H. Spiegelberg, Relaxation of dilute polymer solutions following extensional flow, J. Non-Newtonian Fluid Mech. 76 (1998) 79-110.
22. D.C.Venerus, S.H. Zhu, H.C. Ottinger, Stress and birefringence measurements during the uniaxial elongation of polystyrene melts, J. Rheol. 43 (1999) 795-813.
23. H.C. Ottinger, Letter to the editor: End effects in flow-birefringence experiments for polymer melts, J. Rheol. 43 (1999) 253-259.
24. 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.
25. J.-M. Li, W.R. Burghardt, Flow birefringence in axisymmetric geometries, J. Rheol. 39 (1995) 743-766.
26. J.-M. Li, W.R. Burghardt, B. Yang, B. Khomami, Flow birefringence and computational studies of a shear thinning polymer solution in axisymmetric stagnation flow, J. Non-Newtonian Fluid Mech. 74 (1998) 151-193.
27. W.R. Burghardt, J.-M. Li, B. Khomami, B. Yang, Uniaxial extensional characterization of a shear thinning fluid using axisymmetric flow birefringence, J. Rheol. 43 (1999) 147-165.
28. J.-M. Li, W.R. Burghardt, B. Yang, B. Khomami, Birefringence and computational studies of a polystyrene Boger fluid in axisymmetric stagnation flow, J. Non-Newtonian Fluid Mech. 91 (2000) 189-220.
29. D. Fabris, S.J. Muller, D. Liepmann, Wake measurements for flow around a sphere in a viscoelastic fluid, Phys. Fluids 11 (1999) 3599-3612.
30. J.P. Rothstein, G.H. McKinley, The axisymmetric contraction-expansion: The role of extensional rheology on vortex growth dynamics and the enhanced pressure drop, J. Non-Newtonian Fluid Mech. 98 (2001) 33-63.
31. R.G. Larson, Constitutive Equations for Polymer Melts and Solutions, Butterworths, New York, 1988.
32. G.G. Fuller, Optical Rheometry of Complex Fluids, Oxford, New York, 1995.
33. A.C. Pipkin, Lectures on Viscoelasticity Theory, Springer, New York, 1972.
34. G. Marrucci, Dynamics of entanglements: A nonlinear model consistent with the Cox-Merz rule, J. Non-Newtonian Fluid Mech. 62 (1996) 279-289.
35. D.W. Mead, R.G. Larson, M. Doi, A molecular theory for fast flows of entangled polymers, Macromolecules 31 (1998) 7895-7914.
36. C.C. Hua, J.D. Schieber, Segment connectivity, chain-length breathing, segmental stretch and constraint release in reptation models. 1. Theory and single-step strain predictions, J. Chem. Phys. 109 (1998) 10018-10027.
37. J. Fang, M. Kroger, H.C. Ottinger, A thermodynamically admissible reptation model for fast flows of entangled polymers. II. Model predictions for shear and extensional flows, J. Rheol. 44 (2000) 1293-1317.
38. G. Marrucci, F. Greco, G. Ianniruberto, Integral and differential constitutive equations for entangled polymers with simple versions of CCR and force balance on entanglements, Rheol. Acta 40 (2001) 98-103.