A thermodynamically consistent model for the thixotropic behavior of concentrated star polymer suspensions

Journal of Non-Newtonian Fluid Mechanics

Volumn 152, Issue 1-3, 2008, Pages 76-85

  Beris, A N ^a   Stiakakis, E ^b,c   Vlassopoulos, D ^b,c  

^a UNIVERSITY OF DELAWARE   (United States)

^b INSTITUTE OF ELECTRONIC STRUCTURE AND LASER   (Greece)

^c UNIVERSITY OF CRETE   (Greece)

Author keywords

Johnson Segalman; Multiarm star polymer suspensions; Non affine; Thixotropy; Viscoplasticity

Indexed keywords

CONSTITUTIVE EQUATIONS; DEFORMATION; RHEOLOGY; SHEAR FLOW; STRAIN RATE; SUSPENSIONS (FLUIDS); THERMODYNAMICS; VISCOELASTICITY; VISCOPLASTICITY;

JOHNSON-SEGALMAN EQUATIONS; MULTIARM STAR POLYMERS; NON-EQUILIBRIUM THERMODYNAMICS; POLYMER SUSPENSION; THIXOTROPHY;

POLYMER SOLUTIONS;

CONSTITUTIVE EQUATIONS; DEFORMATION; POLYMER SOLUTIONS; RHEOLOGY; SHEAR FLOW; STRAIN RATE; SUSPENSIONS (FLUIDS); THERMODYNAMICS; VISCOELASTICITY; VISCOPLASTICITY;

EID: 43649104732     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2007.10.016     Document Type: Article

References (39)

1. Barnes H.A. Thixotropy-a review. J. Non-Newtonian Fluid Mech. 70 (1997) 1-33
2. Barnes H.A. The yield stress - a review of "πάνταρεί" - everything flows?. J. Non-Newtonian Fluid Mech. 81 (1999) 133-178
3. Mujumdar A., Beris A.N., and Metzner A.B. Transient phenomena in thixotropic systems. J. Non-Newtonian Fluid Mech. 102 (2002) 157-178
4. Dullaert K., and Mewis J. Stress jumps on weakly flocculated dispersions: steady state and transient results. JCIS 287 (2005) 542-551
5. Dullaert K., and Mewis J. Thixotropy: build-up and breakdown curves during flow. J. Rheol. 49 (2005) 1213-1230
6. Bekkour K., Leyama M., Benchabane A., and Scrivener O. Time-dependent rheological behavior of bentonite suspensions: an experimental study. J. Rheol. 49 (2005) 1329-1345
7. Coussot P., Tabuteau H., Chateau X., Tocquer L., and Ovarlez G. Aging and solid or liquid behavior in pastes. J. Rheol. 50 (2006) 975-994
8. Likos C.N. Soft matter with soft particles. Soft Matter 2 (2006) 478-498
9. Vlassopoulos D. Colloidal star polymers: models for studying dynamically arrested states in soft matter. J. Polym. Sci.: Part B: Polym. Phys. 42 (2004) 2931-2941
10. Loppinet B., Stiakakis E., Vlassopoulos D., Fytas G., and Roovers J. Reversible thermal gelation in star polymers: an alternative route to jamming of soft matter. Macromolecules 34 (2001) 8216-8223
11. Stiakakis E., Petekidis G., Vlassopoulos D., Likos C.N., Iatrou H., Hadjichristidis N., and Roovers J. Depletion and cluster formation in soft colloid-polymer mixtures. Europhys. Lett. 72 (2005) 664-670
12. Zaccarelli E., Mayer C., Asteriadi A., Likos C.N., Sciortino F., Roovers J., Iatrou H., Hadjichristidis N., Tartaglia P., Löwen H., and Vlassopoulos D. Tailoring the flow of soft glasses. Phys. Rev. Lett. 95 (2005) 268301-268304
13. Helgeson M.E., Wagner N.J., and Vlassopoulos D. Viscoelasticity and shear melting of colloidal star polymer glasses. J. Rheol. 51 (2007) 297-316
14. Holmes W.M., Callaghan P.T., Vlassopoulos D., and Roovers J. Shear banding phenomena in ultrasoft colloidal glasses. J. Rheol. 48 (2004) 1085-1102
15. Bird R.B., Curtiss C.F., Armstrong R.C., and Hassager O. Dynamics of Polymeric Liquids. second ed. vol. 2 (1987), John Wiley and Sons, New York
16. Doi M., and Edwards S.F. The Theory of Polymer Dynamics (1986), Clarendon Press, Oxford
17. Beris A.N., and Edwards B.J. Thermodynamics of Flowing Systems (1994), Oxford University Press, New York
18. Treloar L.R.G. The Physics of Rubber Elasticity. third ed. (1975), Oxford University Press, London
19. Prigogine I. Introduction to Thermodynamics of Irreversible Processes (1955), Interscience Publishers, New York
20. de Groot S.R., and Mazur P. Non-Equilibrium Thermodynamics (1962), North-Holland Publishing Company, Amsterdam (Also available in Paperback, Dover, New York, 1984)
21. Öttinger H.C. Beyond Equilibrium Thermodynamics (2005), Wiley-Interscience, Hoboken, New Jersey
22. Johnson M.W., and Segalman D. A model for viscoelastic fluid behavior which allows non-affine deformation. J. Non-Newtonian Fluid Mech. 2 (1977) 225-270
23. Gordon R.J., and Schowalter W.R. Anisotropic fluid theory: a different approach to the dumbbell theory of dilute polymer solutions. Trans. Soc. Rheol. 16 (1972) 79-97
24. Roovers J., Zhou L.-L., Toporowski P.M., van der Zwan M., Iatrou H., and Hadjichristidis N. Regular star polymers with 64 and 128 arms. Models for polymeric micelles. Macromolecules 26 (1993) 4324-4331
25. Stiakakis E., Vlassopoulos D., Loppinet B., Roovers J., and Meier G. Kinetic arrest of crowded soft spheres in solvents of varying quality. Phys. Rev. E 66 (2002) 051804-1-9
26. Mason T.G., and Weitz D.A. Linear viscoelasticity of colloidal hard spheres near the glass transition. Phys. Rev. Lett. 75 (1995) 2770-2773
27. Kalyon D.M. Apparent slip and viscoplasticity of concentrated suspensions. J. Rheol. 49 (2005) 621-640
28. Rissanou A.N., Vlassopoulos D., and Bitsanis I.A. Thermal vitrification in suspensions of "soft colloids:" molecular dynamics simulations and comparison with experiments. Phys. Rev. E. 71 (2005) 011402-1-12
29. S. Rogers, P.T. Callaghan, G. Petekidis, D. Vlassopoulos, manuscript in preparation.
30. Derec C., Ducouret G., Ajdari A., and Lequeux F. Aging and nonlinear rheology in suspensions of polyethylene-oxide protected silica nanoparticles. Phys. Rev. E 67 (2003) 061403
31. Jeffery G.B. The motion of ellipsoidal particles immersed in a viscous fluid. Proc. R. Soc. Lond. A 102 (1922) 161-179
32. Doi M. Molecular dynamics and rheological properties of concentrated solutions of rodlike polymers in isotropic and liquid crystalline phases. J. Polym. Sci.: Polym. Phys. Ed. 19 (1981) 229-243
33. B.J. Edwards, The dynamical continuum theory of liquid crystals, Ph.D. Dissertation, University of Delaware, Newark, Delaware, USA, 1991.
34. Larson R.G. Arrested tumbling in shearing flows of liquid crystal polymers. Macromolecules 23 (1990) 3983-3992
35. Marrucci G., and Maffettone P.L. Nematic phase of rodlike polymers. 1. Prediction of transient-behavior at high shear rates. J. Rheol. 34 (1990) 1217-1230
36. Fyrillas M.M., Georgiou G.C., and Vlassopoulos D. Time-dependent plane Poiseuille flow of a Johnson-Segalman fluid. J. Non-Newtonian Fluid Mech. 82 (1999) 105-123
37. Lu C.-Y.D., Olmsted P.D., and Ball R.C. Effect of non-local stress on the determination of shear banding flow. Phys. Rev. Lett. 84 (2000) 642-645
38. Olmsted P.D., Radulescu O., and Lu C.-Y.D. The Johnson-Segalman model with a diffusion term: a mechanism for stress selection. J. Rheol. 44 (2000) 257-275
39. Mewis J., and Moldenaers P. Transient rheological behavior of a lyotropic polymeric liquid-crystal. Mol. Cryst. Liquid Cryst. 153 (1987) 291-300