Slippage and migration in models of dilute wormlike micellar solutions and polymeric fluids

Journal of Non-Newtonian Fluid Mechanics

Volumn 116, Issue 2-3, 2004, Pages 347-369

  Cook, L Pamela ^a   Rossi, Louis F ^a  

^a UNIVERSITY OF DELAWARE   (United States)

Author keywords

Dumbbell models with slippage; Inhomogeneous fluids; Mathematical modeling; Wormlike micellar solutions

Indexed keywords

FLOW INTERACTIONS; MATHEMATICAL MODELS; POLYMERS; SHEAR FLOW; SOLUTIONS; STRESS ANALYSIS; VISCOSITY;

SHEAR BANDING; SHEAR THINNING;

MICELLES;

INHOMOGENEOUS MEDIUM; MATHEMATICAL MODELING; NON-NEWTONIAN FLUID; SHEAR FLOW; SHEAR THINNING;

EID: 1642414333     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2003.09.005     Document Type: Article

References (25)

1. Apostolakis M.V.Mavrantzas V.G.Beris A.N.Stress gradient-induced migration effects in the Taylor-Couette flow of a dilute polymer solution J. Non-Newtonian Fluid Mech. 1022 2002 409-445
2. Ball R.C.Greco F.Shear-band formation in a non-Newtonian fluid model with a constitutive instability J. Non-Newtonian Fluid Mech. 69 1997 195-206
3. A.N. Beris, B.J. Edwards, Thermodynamics of Flowing Systems with Internal Microstructure, Oxford University Press, Oxford, 1994.
4. Beris A.N.Mavrantzas V.G.On the compatibility between various macroscopic formalisms for the concentration and flow of dilute polymer solutions J. Rheol. 385 1994 1235-1250
5. Berret J.-F.Roux D.C.Porte G.Isotropic-to-nematic transition in wormlike micelles under shear J. Phys. II (France) 4 1994 1261-1279
6. Bhave A.V.Armstrong R.C.Brown R.A.Kinetic theory and rheology of dilute, non-homogeneous polymer solutions Chem. Phys. 9514 1991 2988-3000
7. R.B. Bird, C.F. Curtiss, R.C. Armstrong, O. Hassager, Dynamics of Polymeric Liquids: Kinetic Theory, vol. 2, 2nd ed., Wiley, New York, 1987.
8. Espanol P.Yuan X.Ball R.Shear banding flow in the Johnson-Segalman fluid J. Non-Newtonian Fluid Mech. 65 1996 93-109
9. S.M. Fielding, P.D. Olmsted, Early stage kinetics in a unified model of shear-induced demixing and mechanical shear banding instabilities, Phys. Rev. Lett. 90 (22) (2003) 224501-1-224501-4.
10. Fielding S.M.Olmsted P.D.Flow phase diagrams for concentration-coupled shear banding Eur. Phys. J. E. 11 2003 65-83
11. Grand C.Arrault J.Cates M.E.Slow transients and metastability in wormlike micelle rheology J. Phys. II (France) 7 1997 1071-1086
12. Greco F.Ball R.Shear-band formation in a non-Newtonian fluid model with a constitutive instability J. Non-Newtonian Fluid Mech. 69 1997 195-206
13. Kierzenka J.Shampine L.F.A BVP solver based on residual control and the Matlab PSE ACM Trans. Math. Software 273 2001 299-316
14. R.G. Larson, Constitutive Equations for Polymer Melts and Solutions, Butterworths, 1988.
15. R.G. Larson, The Structure and Rheology of Complex Fluids, Oxford University Press, New York, NY, 1999.
16. Malkus D.S.Nohel J.A.Plohr B.J.Dynamics of shear flow of a non-Newtonian fluid J. Comput. Phys. 87 1990 464
17. Mavrantzas V.G.Beris A.N.Modeling of rheology and flow-induced concentration changes in polymer solutions Phys. Rev. Lett. 692 1992 273-276
18. Mavrantzas V.G.Beris A.N.Theoretical study of wall effects on rheology of dilute polymer solutions J. Rheol. 361 1992 175-213
19. G. McKinley, private communication, 2003.
20. Öttinger H.C.Incorporation of polymer diffusivity and migration into constitutive equations Rheol. Acta 31 1992 14-21
21. Radulescu O.Olmsted P.D.Matched asymptotic solutions for the steady banded flow of the diffusive Johnson-Segalman model in various geometries J. Non-Newtonian Fluid Mech. 91 2000 143-164
22. J. Rothstein, private communication, 2003.
23. L.F. Shampine, J. Kierzenka, M.W. Reichelt, Solving boundary value problems for ordinary differential equations in Matlab with bvp4c, Technical report, The MathWorks, 2000, ftp://ftp.mathworks.com/pub/doc/papers/bvp/.
24. J. Yerushalmi, S. Katz, R. Shinnar, The stability of steady shear flows of some viscoelastic fluids. Chem. Eng. Sci. 25 (1891-1902) (1970).
25. Yuan X.-F.Jupp L.Interplay of flow-induced phase separations and rheological behavior of complex fluids in shearbanding flow Europhys. Lett. 605 2002 692-697