On the modelling of a PIB/PB Boger fluid in extensional flow

Journal of Non-Newtonian Fluid Mechanics

Volumn 80, Issue 2-3, 1999, Pages 155-182

  Verhoef, M R J ^a   Van Den Brule, B H A A ^a   Hulsen, M A ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Constitutive equations; Dumbbell model; Extensional viscosity; Filament stretching device; PIB PB Boger fluid

Indexed keywords

MATHEMATICAL MODELS; STRAIN RATE; STRESS ANALYSIS; VISCOSITY OF LIQUIDS;

BOGER FLUID; DUMBBELL MODEL; FILAMENT STRETCHING DEVICE;

NON NEWTONIAN LIQUIDS;

MODELING; NON-NEWTONIAN FLUID; VISCOSITY;

EID: 0032921807     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0257(98)00080-9     Document Type: Article

References (21)

1. van Nieuwkoop J., Muller von Czernicki M.M.O. Elongation and subsequent relaxation measurements on dilute polymer solutions. J. Non-Newtonian Fluid Mech. 67:1996;105-123.
2. Tirtaatmadja V., Sridhar T. A filament stretching device for measurement of extensional viscosity. J. Rheol. 37:1993;1081-1102.
3. Spiegelberg S.H., Ables D.C., McKinley G.H. Measurement of extensional viscosity for viscous polymer solutions with a filament stretching rheometer. J. Non-Newtonian Fluid Mech. 64:1996;229-267.
4. Solomon M.J., Muller S.J. The transient extensional behavior of polystyrene-based boger fluids of varying quality and molecular weight. J. Rheol. 40:1996;837-856.
5. Tirtaatmadja V., Sridhar T. Comparison of constitutive equations for polymer solutions in uniaxial extension. J. Rheol. 39:1995;1133-1160.
6. R.B. Bird, C.F. Curtiss, R.C Armstrong, O. Hassager, Dynamics of Polymer Liquids, 2nd ed., vol. 2, Wiley, New York, 1987.
7. Hinch E.J. Uncoiling a polymer molecule in a strong extensional flow. J. Non-Newtonian Fluid Mech. 54:1994;209-230.
8. Orr N.V., Sridhar T. Stress relaxation in uniaxial extension. J. Non-Newtonian Fluid Mech. 67:1996;77-103.
9. Kolte M.I., Rasmussen H.K., Hassager O. Transient filament stretching rheometer II: numerical simulation. Rheol. Acta. 36:1997;285-302.
10. Sizaire R., Legat V. Finite element simulation of a filament stretching extensional rheometer. J. Non-Newtonian Fluid Mech. 71:1997;89-107.
11. James D.F., Sridhar T. Molecular conformation during steady-state measurements of extensional viscosity. J. Rheol. 39:1995;713-724.
12. Spiegelberg S.H., McKinley G.H. Stress relaxation and elastic decohesion of viscoelastic solutions in extensional flow. J. Non-Newtonian Fluid Mech. 67:1996;49-76.
13. Giesekus H. A unified approach to a variety of constitutive models for polymer fluids based on the concept of configuration-dependent molecular mobility. Rheol. Acta. 21:1982;366-375.
14. Wedgewood L.E., Bird R.B. From molecular models to the solution of flow problems. Ind. Eng. Chem. Res. 27:1988;1313-1320.
15. Rallison J.M. Dissipative stresses in dilute polymer solutions. J. Non-Newtonian Fluid Mech. 68:1997;61-83.
16. Chilcott M.D., Rallison J.M. Creeping flow of dilute polymer solutions past cylinders and spheres. J. Non-Newtonian Fluid Mech. 29:1988;381-432.
17. Quinzani L.M., McKinley G.H., Brown R.A., Armstrong R.C. Modeling the rheology of polyisobutylene solutions. J. Rheol. 34:1990;705-748.
18. 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., 1997, in press.
19. van den Brule B.H.A.A. Brownian dynamics simulation of finite extensible bead-spring chains. J. Non-Newtonian Fluid Mech. 47:1993;357-378.
20. H.C. Ottinger, Stochastic Processes in Polymeric Fluids, Springer, Berlin, 1996.
21. Hulsen M.A., van Heel A.P.G., van den Brule B.H.A.A. Simulation of viscoelastic flows using Brownian configuration fields. J. Non-Newtonian Fluid Mech. 70:1997;79-101.