A simple constitutive model for a polymer flow near a polymer-grafted wall

Journal of Rheology

Volumn 49, Issue 5, 2005, Pages 1129-1151

  Stepanyan, R ^a   Slot, J J M ^a,b   Molenaar, J ^a,c   Tchesnokov, M ^a  

^a UNIVERSITY OF TWENTE   (Netherlands)

^b DSM RESEARCH   (Netherlands)

^c EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW OF FLUIDS; GRAFT COPOLYMERS; MATHEMATICAL MODELS; NON NEWTONIAN FLOW;

CONSTITUTIVE MODELS; GENERALIZATION; POLYMER FLOW;

POLYMERS;

EID: 30344438212     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.2000968     Document Type: Article

References (41)

1. Ajdari, A., F. Brochard-Wyart, C. Gay, P. G. de Gennes, and J. L. Viovy, "Drag on a tethered chain moving in a polymer melt," J. Phys. II 5, 491-495 (1995).
2. Ajdari, A., F. Brochard-Wyart, P. G. de Gennes, L. Leibler, J. L. Viovy, and M. Rubinstein, "Slippage of an entangled polymer melt on a grafted surface," Physica A 204, 17-39 (1994).
3. Ball, R. C., and T. C. B. McLeish, "Dynamic dilution and the viscosity of star-polymer melts," Macromolecules 22, 1911-1913 (1989).
4. Bird, R. B., R. C. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids (Wiley, New York, 1987), Vol. 1.
5. Brochard, F., and P. G. de Gennes, "Shear-dependent slippage at a polymer/solid interface," Langmuir 8, 3033-3037 (1992).
6. Brochard-Wyart, F., C. Gay, and P. G. de Gennes, "Slippage of polymer melts on grafted surfaces," Macromolecules 29, 377-382 (1996).
7. Colby, R. H., and M. Rubinstein, "Two-parameter scaling for polymers in Θ solvents," Macromolecules 23, 2753-2757 (1990).
8. Denn, M. M., "Extrusion instabilities and wall slip," Annu. Rev. Fluid Mech. 33, 265-287 (2001).
9. Doi, M., "Explanation for the 3.4-power law for viscosity of polymeric liquids on the basis of the tube model," J. Polym. Sci., Polym. Phys. Ed. 21, 667-684 (1983).
10. Doi, M., and S. Edwards, The Theory of Polymer Dynamics (Clarendon Press, Oxford, 1986).
11. Doi, M., and N. Y. Kuzuu, "Rheology of star polymers in concentrated solutions and melts," J. Polym. Sci., Polym. Lett. Ed. 18, 775-780 (1980).
12. Doi, M., W. W. Graessley, E. Helfand, and D. S. Pearson, "Dynamics of polymers in polydisperse melts," Macromolecules 20, 1900-1906 (1987).
13. Dubbeldam, J. L. A., and J. Molenaar, "Dynamics of the spurt instability in polymer extrusion," J. Non-Newtonian Fluid Mech. 112, 217-235 (2003).
14. Durliat, E., H. Hervet, and L. Léger, "Influence of grafting density on wall slip of a polymer melt on a polymer brush," Europhys. Lett. 38, 383-388 (1997).
15. Ferry, J. D., Viscoelastic Properties of Polymers (Wiley, New York, 1970).
16. Fetters, L. J., D. J. Lohse, D. Richter, T. A. Witten, and A. Zirkel, "Connection between polymer molecular weight, density, chain dimensions, and melt viscoelastic properties," Macromolecules 27, 4639-4647 (1994).
17. Gay, C., "New concepts for the slippage of an entangled polymer melt at a grafted solid interface," Eur. Phys. J. B 7, 251-262 (1999).
18. Goveas, J., and G. Fredrickson, "Apparent slip at a polymer-polymer interface," Eur. Phys. J. B 2, 79-92 (1998).
19. Graham, R. S., A. E. Likhtman, T. C. B. McLeish, and S. T. Milner, "Microscopic theory of linear, entangled polymer chains under rapid deformation including chain stretch and convective constraint release," J. Rheol. 47, 1171-1200 (2003).
20. Ianniruberto, G., and G. Marrucci, "A multi-mode CCR model for entangled polymers with chain stretch," J. Non-Newtonian Fluid Mech. 102, 383-395 (2002).
21. Joshi, Y. M., and A. K. Lele, "Dynamics of end-tethered chains at high surface coverage," J. Rheol. 46, 427-453 (2002).
22. Joshi, Y. M., A. K. Lele, and R. A. Mashelkar, "Molecular model for wall slip: Role of convective constraint release," Macromolecules 34, 3412-3420 (2001).
23. Lam, Y. C., L. Jiang, C. Y. Yue, K. C. Tam, L. Li, and X. Hu, "Interfacial slip between polymer melts studied by confocal microscopy and rheological measurements," J. Rheol. 47, 795-807 (2003).
24. Landau, L. D., and E. M. Lifshits, Fluid Mechanics (Pergamon, Oxford, 1987).
25. Larson, R. G., T. Sridhar, L. G. Leal, G. H. McKinley, A. E. Likhtman, and T. C. B. McLeish, "Definitions of entanglement spacing and time constants in the tube model," J. Rheol. 47, 809-818 (2003).
26. Léger, L., E. Raphaël, and H. Hervet, "Surface-anchored polymer chains: Their role in adhesion and friction," Adv. Polym. Sci. 138, 185-225 (1999).
27. Léger, L., H. Hervet, G. Massey, and E. Durliat, "Wall slip in polymer melts," J. Phys.: Condens. Matter 9, 7719-7740 (1997).
28. Léger, L., H. Hervet, P. Auroy, E. Boucher, and G. Massey, "The reptation model: Tests through diffusion measurements in linear polymer melts," in Rheology for Polymer Melt Processing, Rheology series 5, edited by M. Piau and J.-F. Agassant (Elsevier, Amsterdam, 1996), pp. 1-16.
29. Likhtman, A. E., and R. S. Graham, "Simple constitutive equation for linear polymer melts derived from molecular theory: Rolie-Poly equation," J. Non-Newtonian Fluid Mech. 114, 1-12 (2003).
30. Marrucci, G., and G. Ianniruberto, "Flow-induced orientation and stretching of entangled polymers," Philos. Trans. R. Soc. London, Ser. A 361, 677-687 (2003).
31. McLeish, T. C. B., and R. G. Larson, "Molecular constitutive equations for a class of branched polymers: The pom-pom polymer," J. Rheol. 42, 81-110 (1998).
32. Mead, D. W., R. G. Larson, and M. Doi, "A molecular theory for fast flows of entangled polymers," Macromolecules 31, 7895-7914 (1998).
33. Migler, K. B., H. Hervet, and L. Léger, "Slip transition of a polymer melt under shear stress," Phys. Rev. Lett. 70, 287-290 (1993).
34. Milner, S. T., and T. C. B. McLeish, "Parameter-free theory for stress relaxation in star polymer melts," Macromolecules 30, 2159-2166 (1997).
35. Milner, S. T., and T. C. B. McLeish, "Reptation and contour-length fluctuations in melts of linear polymers," Phys. Rev. Lett. 81, 725-728 (1998).
36. Milner, S. T., T. C. B. McLeish, R. N. Young, A. Hakiki, and J. M. Johnson, "Dynamic dilution, constraint-release, and star-linear blends," Macromolecules 31, 9345-9353 (1998).
37. Pearson, D. S., and E. Helfand, "Viscoelastic properties of star-shaped polymers," Macromolecules 17, 888-895 (1984).
38. Rubinstein, M., and R. H. Colby, "Self-consistent theory of polydisperse entangled polymers: Linear viscoelasticity of binary blends," J. Chem. Phys. 89, 5291-5306 (1988).
39. Wang, S.-Q., and P. A. Drda, "Stick-slip transition in capillary flow of polyethylene. 2. Molecular weight dependence and low-temperature anomaly," Macromolecules 29, 4115-4119 (1996a).
40. Wang, S.-Q., and P. A. Drda, "Superfluid-like stick-slip transition in capillary flow of linear polyethylene melts. 1. General features," Macromolecules 29, 2627-2632 (1996b).
41. Watanabe, H., "Viscoelasticity and dynamics of entangled polymers," Prog. Polym. Sci. 24, 1253-1403 (1999).