A thermodynamic approach to rheology of complex fluids: The generalized BMP model

Journal of Non-Newtonian Fluid Mechanics

Volumn 146, Issue 1-3, 2007, Pages 22-29

  Manero, O ^a   Perez Lopez J H ^b   Escalante, J I ^b   Puig, J E ^b   Bautista, F ^b  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

^b UNIVERSITY OF GUADALAJARA   (Mexico)

Author keywords

Fluids with internal structure; Irreversible thermodynamics; Non linear viscoelasticity; Rheological equation of state; Shear banding flow; Shear thickening transition

Indexed keywords

CONSTITUTIVE EQUATIONS; EQUATIONS OF STATE; FLUID MECHANICS; MATHEMATICAL MODELS; RHEOLOGY; SHEAR FLOW; THERMODYNAMICS; VISCOELASTICITY;

COMPLEX FLUIDS; IRREVERSIBLE THERMODYNAMICS; NONLINEAR VISCOELASTICITY; SHEAR-BANDING FLOW; SHEAR-THICKENING TRANSITION;

POLYMER SOLUTIONS;

CONSTITUTIVE EQUATIONS; EQUATIONS OF STATE; FLUID MECHANICS; MATHEMATICAL MODELS; POLYMER SOLUTIONS; RHEOLOGY; SHEAR FLOW; THERMODYNAMICS; VISCOELASTICITY;

EID: 34249699889     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2007.02.012     Document Type: Article

References (56)

1. Larson R.G. Flow-induced mixing, demixing, and phase transitions in polymeric fluids. Rheol. Acta 31 (1994) 497-520
2. Yang J. Viscoelastic wormlike micelles and their applications. Curr. Opin. Colloid Interf. Sci. 7 (2002) 276-281
3. Rosen M.J., and Dahanayake M. Industrial Utilization of Surfactants: Principle and Practice (2000), AOCS Press, Champaign, IL
4. Kadoma I.A., and van Egmond J.W. Shear-enhanced orientation and concentration fluctuations in wormlike micelles: effect of salt. Langmuir 13 (1997) 4551-4561
5. Seng W.P., Tam K.C., and Jenkins R.D. Rheological properties of model alkali-soluble associative (HASE) polymer in ionic and nonionic surfactant solutions. Colloids Surf. A: Physicochem. Eng. Aspects 154 (1999) 365-382
6. English R.J., Raghavan S.R., Jenkins R.D., and Khan S.A. Associative polymers bearing n-alkyl hydrophobes: rheological evidence for microgel-like behavior. J. Rheol. 43 (1999) 1175-1194
7. Maestro A., González C., and Gutiérrez J. Rheological behavior of hydrophobically modified hydroxyethyl cellulose solutions: a linear viscoelastic model. J. Rheol. 46 (2002) 127-143
8. Escalante J.I., Gradzielski M., Hoffmann H., and Mortensen K. Shear-induced transition of originally undisturbed lamellar phase to vesicle phase. Langmuir 16 (2000) 8363-8653
9. Berret J.-F., Porte G., and Decruppe J.-P. Inhomogeneus shear flows of wormlike micelles: a master dynamic phase diagram. Phys. Rev. E 55 (1997) 1668-1676
10. Berret J.-F., and Porte G. Metastable versus instable transients at the onset of a shear-induced phase transition. Phys. Rev. E 60 (1999) 4268-4271
11. Spenley N.A., Cates M.E., and McLeish T.C.B. Nonlinear rheology of wormlike micelles. Phys. Rev. Lett. 71 (1993) 939-942
12. Cates M.E. Nonlinear viscoelasticity of wormlike micelles (and other reversibly breakable polymers). J. Phys. Chem. 94 (1990) 371-375
13. Hu Y.T., Boltenhagen P., and Pine D.J. Shear thickening in low-concentration solutions of wormlike micelles. I. Direct visualization of transient behavior and phase transitions. J. Rheol. 42 (1998) 1185-1208
14. Hu Y.T., Boltenhagen P., Matthys E., and Pine D.J. Shear thickening in low-concentration solutions of wormlike micelles. II. Slip, fracture, and stability of the shear-induced Phase. J. Rheol. 42 (1998) 1209-1226
15. Berret J.-F. Rheology of wormlike micelles: equilibrium properties and shear banding transition. In: Weiss R.G., and Terech P. (Eds). Molecular Gel. Materials with Self-Assembled Fibrillar Network (2006), Springer, Secaucus
16. Prigogine I., and Nicolis G. Self Organization in Non-Equilibrium Systems (1977), Wiley, New York
17. Bagley E.G., Cabot I.M., and West D.C. Discontinuity in the flow curve of polyethylene. J. Appl. Phys. 29 (1958) 109-110
18. Vinogradov G.V. Critical regimes of deformation of liquid polymeric systems. Rheol. Acta 12 (1973) 357-373
19. Doi M., and Edwards S.F. The Theory of Polymer Dynamics (1986), Clarendon Press, Oxford
20. Larson R.G. Constitutive Equations for Polymer Melts and Solutions (1988), Butterworths, Boston
21. Cates M.E., McLeish T.C.B., and Marrucci G. The rheology of entangled polymers at very high shear rates. Europhys. Lett. 21 (1993) 451-456
22. Bautista F., Soltero J.F.A., Pérez-López J.H., Puig J.E., and Manero O. On the shear banding flow of elongated micellar solutions. J. Non-Newtonian Fluid Mech. 94 (2000) 57-66
23. Schmitt V., Marques C.M., and Lequeux F. Shear-induced phase separation of complex fluids: the role of the flow-concentration coupling. Phys. Rev. E 52 (1995) 4009-4015
24. Olmsted P.D., and Lu C.Y.D. Coexistence and phase separation in sheared complex fluids. Phys. Rev. E 56 (1997) R55-R58
25. Callaghan P.T., Cates M.E., Rofe C.F., and Smeulders J.B.A.F. A study of the "spurt effect" in wormlike micelles using nuclear magnetic resonance microscopy. J. Phys. II France 6 (1996) 375-393
26. Mair R.W., and Callaghan P.T. Shear flow of wormlike micelles in pipe and cylindrical Couette geometries as studied by nuclear magnetic resonance microscopy. J. Rheol. 41 (1997) 901-924
27. Britton M.M., Mair R.W., Lambert R.K., and Callaghan P.T. Transition to shear banding in pipe and couette flow of wormlike micellar solutions. J. Rheol. 43 (1999) 897-910
28. Decruppe J.-P., Cressely R., Makhloufi R., and Cappelaere E. Flow birefringence experiments showing a shear-banding structure in a CTAB solution. Colloid Polym. Sci. 273 (1995) 346-351
29. Makhloufi R., Decruppe J.-P., Ait-Ali A., and Cressely R. Rheooptical study of worm-like micelles undergoing a shear banding flow. Europhys. Lett. 32 (1995) 253-258
30. Shikata T., and Pearson D.S. Rheoptical behavior of wormlike micellar systems. In: Craig H., and Prud'Homme R.K. (Eds). Structure and Flow in Surfactant Solutions (1994), ASC Symposium Series, Oxford University Press, NY
31. Schmitt V., Lequeux F., Pousse A., and Roux D. Flow behavior and shear induced transition near an isotropic/nematic transition in equilibrium polymers. Langmuir 10 (1994) 955-961
32. McLeish T.C.B., and Ball R.C. A molecular approach of the spurt effect in polymer melt flow. J. Polym. Sci. Polym. Phys. 24 (1986) 1735-1745
33. Hu Y.T., and Lips A. Kinetics and mechanism of shear banding in an entangled micellar solution. J. Rheol. 49 (2005) 1001-1027
34. Volkova O., Cutillas S., and Bossis G. Shear banded flows and nematic-to-isotropic transition in ER and MR fluids. Phys. Rev. Lett. 82 (1999) 233-236
35. Berret J.-F., Roux D.C., and Lindner P. Structure and rheology of concentrated wormlike micelles at the shear-induced isotropic-to-nematic transition. Eur. Phys. J. B 5 (1998) 67-77
36. Boger D.V. Viscoelastic flows through contractions. Ann. Rev. Fluid Mech. 19 (1987) 157-182
37. McKinley G.H., Raiford W.P., Brown R.A., and Armstrong R.C. Nonlinear dynamics of viscoelastic flow in axisymmetrical abrupt contractions. J. Fluid Mech. 223 (1991) 411-426
38. Fielding S.M., and Olmsted P.D. Flow phase diagrams for concentration-coupled shear-banding. Eur. Phys. J. E 11 (2003) 65-83
39. Manero O., and Rodríguez R.F. A thermodynamic description of coupled flow and diffusion in a viscoelastic binary mixture. Non-Equilib. Thermodyn. 24 (1999) 177-195
40. Bautista F., Soltero J.F.A., Macías E.R., Puig J.E., and Manero O. Irreversible thermodynamics approach and modeling of shear-banding flow of wormlike micelles. J. Phys. Chem. B 106 (2002) 13018-13026
41. Escalante J.I., Macias E.R., Bautista F., Pérez-López J.H., Soltero J.F.A., Puig J.E., and Manero O. Shear banded flow and transient rheology of cationic wormlike micellar solutions. Langmuir 19 (2003) 6620-6626
42. Blakey B.C., and James D.F. Characterizing the rheology of laterite slurries. Int. J. Miner. Proc. 70 (2003) 23-39
43. Boek E.S., Padding J.T., Anderson V.J., Tardy P.M.J., Crawshaw J.P., and Pearson J.R.A. Constitutive equations for extensional flow of wormlike micelles: stability analysis of the Bautista-Manero model. J. Non-Newtonian Fluid Mech. 126 (2005) 39-46
44. Marin-Santibanez B.M., Perez-Gonzalez J., de Vargas L., Rodriguez-Gonzalez F., and Huelsz G. Rheometry-PIV of shear-thickening wormlike micelles. Langmuir 22 9 (2006) 4015-4026
45. Jou D., Criado-Sancho M., and Casas-Vázquez J. Non-equilibrium chemical potential and stress-induced migration of polymers in tubes. Polymer 43 (2002) 1599-1605
46. Jou D., Criado-Sancho M., del Castillo L.F., and Casas-Vázquez J. A thermodynamic model for shear induced concentration banding and macromolecular separation. Polymer 42 (2001) 6239-6245
47. Jou D., Casas-Vázquez J., and Criado-Sancho M. Thermodynamics of Fluids Under Flow (2000), Springer-Verlag, Berlin
48. Bandyopadhyay R., and Sood A.K. Effect of screening of intermicellar interactions on the linear and nonlinear rheology of a viscoelastic gel. Langmuir 19 (2003) 3121-3127
49. Berret J.-F., Gámez-Corrales R., Lerouge S., and Decruppe J.-P. Shear-thickening transition in surfactant solutions: new experimental feactures from rheology and flow birefringence. Eur. Phys. J. E. 2 (2000) 343-350
50. Macias E.R., Bautista F., Soltero J.F.A., Puig J.E., Attané P., and Manero O. On the shear thickening flow of diluted CTAT wormlike micellar solutions. J. Rheol. 47 (2003) 643-658
51. Hartmann V., and Cresseley R. Simple salts effects on the characteristics of the shear thickening exhibited by an aqueous micellar solution of CTAB/NaSal. Europhys. Lett. 40 (1997) 691-696
52. Hartmann V., and Cresseley R. Occurence of shear-thickening in aqueous micellar solutions of CTAB with some added organic counterions. Colloid Polym. Sci. 276 (1998) 169-175
53. Truong M.T., and Walker L.M. Quantifying the importance of micellar microstructure and electrostatic interactions on the shear-induced structural transition of cylindrical micelles. Langmuir 18 (2002) 2024-2031
54. Beris A.N., and Mavrantzas V.G. On the compatibility between various formalisms for the concentration and flow of dilute polymer solutions. J. Rheol. 38 (1994) 1235-1250
55. Ottinger H.C. Incorporation of polymer diffusivity and migration into constitutive equations. Rheol. Acta 31 (1992) 14-21
56. Grmela M., and Ottinger H.C. Dynamics and thermodynamics of complex fluids. I. Development of a general formalism. Phys. Rev. E 56 (1997) 6620-6632