Cost-effective multi-mode FENE bead-spring models for dilute polymer solutions

Journal of Non-Newtonian Fluid Mechanics

Volumn 116, Issue 2-3, 2004, Pages 269-300

  Zhou, Q ^a   Akhavan, R ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Constitutive models; FENE chains; Kinetic theory; Polymer drag reduction; Viscoelastic flows

Indexed keywords

APPROXIMATION THEORY; ELASTICITY; FLOW INTERACTIONS; KINEMATICS; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; POLYMERS; RHEOLOGY; SOLUTIONS;

FLOW KINEMATICS;

NON NEWTONIAN FLOW;

DRAG REDUCTION; KINETICS; MATHEMATICAL ANALYSIS; POLYMER SOLUTION; TURBULENT FLOW; VISCOELASTIC FLUID;

EID: 1642297447     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2003.09.004     Document Type: Article

References (33)

1. H.C. Öttinger, Stochastic processes in polymeric fluids: tools and examples for developing simulation algorithms, Springer-Verlag, Berlin, 1996.
2. Laso M.Öttinger H.C.Calculation of viscoelastic flow using molecular models: the CONNFFESSIT approach J. Non-Newtonian Fluid Mech. 47 1993 1-20
3. Feigl K.Laso M.Öttinger H.C.CONNFFESSIT approach for solving a two-dimensional viscoelastic fluid problem Macromolecules 28 1995 3261-3274
4. Laso M.Picasso M.Öttinger H.C.2D time-dependent viscoelastic flow calculations using CONNFFESSIT Am. Inst. Chem. Eng. J. 43 1997 877-892
5. 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
6. Öttinger H.C.van den Brule B.H.A.A.Hulsen M.A.Brownian configuration fields and variance reduced CONNFFESSIT J. Non-Newtonian Fluid Mech. 70 1997 255-261
7. Halin P.Lielens G.Keunings R.Legat V.The Lagrangian particle method for macroscopic and micro-macro viscoelastic flow computations J. Non-Newtonian Fluid Mech. 79 1998 387-403
8. Gallez X.Halin P.Lielens G.Keunings R.Legat V.The adaptive Lagrangian particle method for macroscopic and micro-macro computations of time-dependent viscoelastic flows J. Non-Newtonian Fluid Mech. 180 1999 345-364
9. Wapperom P.Keunings R.Legat V.The backward-tracking Lagrangian particle method for transient viscoelastic flows J. Non-Newtonian Fluid Mech. 91 2000 273-295
10. R.B. Bird, C.F. Curtiss, R.C. Armstrong, O. Hassager, Dynamics of Polymeric Liquids: Kinetic Theory, vol. 2, second edition, Wiley, New York, 1987.
11. Doyle P.S.Shaqfeh E.S.G.Dynamic simulation of freely-draining, flexible bead-rod chains: start-up of extensional and shear flow J. Non-Newtonian Fluid Mech. 76 1998 43-78
12. Doyle P.S.Shaqfeh E.S.G.McKinley G.H.Spiegelberg S.H.Relaxation of dilute polymer solutions following extensional flow J. Non-Newtonian Fluid Mech. 76 1998 79-110
13. Verhoef M.R.J.van den Brule B.H.A.A.Hulsen M.A.On the modelling of a PIB/PB Boger fluid in extensional flow J. Non-Newtonian Fluid Mech. 80 1999 155-182
14. Ghosh I.McKinley G.H.Brown R.A.Armstrong R.C.Deficiencies of FENE dumbbell models in describing the rapid stretching of dilute polymer solutions J. Rheol. 453 2001 721-758
15. Zhou Q.Akhavan R.A comparison of FENE and FENE-P dumbbell and chain models in turbulent flow J. Non-Newtonian Fluid Mech. 109 2003 115-155
16. Tirtaatmadja V.Sridhar T.Comparison of constitutive equations for polymer solutions in uniaxial extension J. Rheol. 396 1995 1133-1160
17. Orr N.V.Sridhar T.Strees relaxation in uniaxial extension J. Non-Newtonian Fluid Mech. 67 1996 77-103
18. Li L.Larson R.G.Sridhar T.Brownian dynamics simulations of dilute polystyrene solutions J. Rheol. 442 2000 291-322
19. Ghosh I.Joo Y.L.McKinley G.H.Brown R.A.Armstrong R.C.A new model for dilute polymer solutions in flows with strong extensional components J. Reol. 465 2002 1057-1089
20. Lielens G.Halin P.Juamain I.Keunings R.Legat V.New closure approximations for the kinetic theory of finitely extensible dumbbells J. Non-Newtonian Fluid Mech. 76 1998 249-279
21. Lielens G.Keunings R.Legat V.The FENE-L and FENE-LS closure approximations to kinetic theory of finitely extensible dumbbells J. Non-Newtonian Fluid Mech. 87 1999 179-196
22. Warner H.R.Kinetic theory and rheology of dilute suspensions of finitely extensible dumbbells Ind. Eng. Chem. Fundam. 11 1972 379-387
23. Wedgewood L.E.Ostrov D.N.Bird R.B.A finitely extensible bead-spring chain model for dilute polymer solutions J. Non-Newtonian Fluid Mech. 40 1991 119-139
24. Peterlin A.Hydrodynamics of macromolecules in a velocity field with longitudinal gradient J. Polym. Sci., Polym. Lett. 4B 1966 287-291
25. R.B. Bird, P.J. Dotson, N.L. Johnson, Polymer solution rheology based on finitely extensible bead-spring chain model, J. Non-Newtonian Fluid Mech. 7 (1980) 213-235; 8 (1981) 193; and 15 (1984) 225 (erratum).
26. Virk P.S.Drag reduction fundamentals Am. Inst. Chem. Eng. J. 21 1975 625-656
27. R.G. Larson, The Structure and Rheology of Complex Fluids, Oxford University Press, Oxford, 1999.
28. P.J. Flory, Principles of Polymer Chemistry, Cornell University Press, Ithaca, NY, 1953.
29. Wiest J.M.Birefringence in strong flows of polymer solutions Polymer 40 1999 1917-1922
30. Wiest J.M.Tanner R.I.Rheology of bead-nonlinear spring chain macromolecules J. Rheol. 332 1989 281-316
31. Sizaire R.Lielens G.Jaumain I.Keunings R.Legat V.On the hysteretic behaviour of dilute polymer solutions in relaxation following extensional flow J. Non-Newtonian Fluid Mech. 82 1999 233-253
32. Keunings R.On the Peterlin approximation of finitely extensible dumbbells J. Non-Newtonian Fluid Mech. 68 1997 85-100
33. Herrchen M.Öttinger H.C.A detailed comparison of various FENE dumbbell models J. Non-Newtonian Fluid Mech. 68 1997 17-42