Superposition rheometry of a wormlike micellar fluid

Rheologica Acta

Volumn 52, Issue 8-9, 2013, Pages 727-740

  Kim, Sunhyung ^a   Mewis, Jan ^a   Clasen, Christian ^a   Vermant, Jan ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Giesekus model; Nonlinear rheology; Orthogonal superposition; Parallel superposition; Wormlike micellar solution

Indexed keywords

EID: 84880723463     PISSN: 00354511     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00397-013-0718-2     Document Type: Article

References (54)

1. Bernstein B (1972) A rheological relation between parallel and transverse superposed complex dynamic shear moduli. Rheol Acta11: 210-215.
2. Berret JF, Appell J, Porte G (1993) Linear rheology of entangled wormlike micelles. Langmuir9: 2851-2854.
3. Booij HC (1966a) Influence of superimposed steady shear flow on the dynamic properties of non-Newtonian fluids. Rheol Acta 5: 215-221.
4. Booij HC (1966b) Influence of superimposed steady shear flow on the dynamic properties of non-Newtonian fluids. Rheol Acta 5: 222-227.
5. Calin A, Wilhelm M, Balan C (2010) Determination of the non-linear parameter (mobility factor) of the Giesekus constitutive model using LAOS procedure. J Non-Newtonian Fluid Mech 165: 1564-1577.
6. Cates ME (1987) Reptation of living polymers: dynamics of entangled polymers in the presence of reversible chain-scission reactions. Macromolecules 20: 2289-2296.
7. Cates ME (1990) Nonlinear viscoelasticity of wormlike micelles (and other reversibly breakable polymers). J Phys Chem94: 371-375.
8. Cates ME, Candau SJ (1990) Statics and dynamics of worm-like surfactant micelles. J Phys-Condens Matter 2: 6869.
9. De Cleyn G, Mewis J (1981) Constitutive equation for polymer liquids: application to shear flow. J Non-Newton Fluid Mech 9: 91-105.
10. Dhont JKG, Nägele G (1998) Critical viscoelastic behavior of colloids. Phys Rev E 58: 7710-7732.
11. Dhont JKG, Wagner NJ (2001) Superposition rheology. Phys Rev E 63: 021406.
12. Fischer P, Rehage H (1997) Non-linear flow properties of viscoelastic surfactant solutions. Rheol Acta 36: 13-27.
13. Giesekus H (1982a) A simple constitutive equation for polymer fluids based on the concept of deformation-dependent tensorial mobility. J Non-Newtonian Fluid Mech 11: 69-109.
14. Giesekus H (1982b) A unified approach to a variety of constitutive models for polymer fluids based on the concept of configuration-dependent molecular mobility. Rheol Acta 21: 366-375.
15. Gurnon AK, Wagner NJ (2012) Large amplitude oscillatory shear (LAOS) measurements to obtain constitutive equation model parameters: Giesekus model of banding and nonbanding wormlike micelles. J Rheo l56: 333-351.
16. Helgeson ME, Vsquez PA, Kaler EW, Wagner NJ (2009) Rheology and spatially resolved structure of cetyltrimethylammonium bromide wormlike micelles through the shear banding transition. J Rheo l53: 727-756.
17. Holz T, Fischer P, Rehage H (1999) Shear relaxation in the nonlinear-viscoelastic regime of a Giesekus fluid. J Non-Newtonian Fluid Mech 88: 133-148.
18. Hyun K, Wilhelm M, Klein CO, Cho KS, Nam JG, Ahn KH, Lee SJ, Ewoldt RH, McKinley GH (2011) A review of nonlinear oscillatory shear tests: analysis and application of large amplitude oscillatory shear (LAOS). Prog Polym Sci 36: 1697-1753.
19. Kern F, Lequeux F, Zana R, Candau SJ (1994) Dynamic properties of salt-free viscoelastic micellar solutions. Langmuir 10: 1714-1723.
20. Kim NJ, Pipe CJ, Ahn KH, Lee SJ, McKinley GH (2010) Capillary breakup extensional rheometry of a wormlike micellar solution. Korea-Aust Rheol J 22: 31-41.
21. Kwon Y, Leonov AI (1993) Remarks on orthogonal superposition of small amplitude oscillations on steady shear flow. Rheol Acta 32: 108-112.
22. Larson RG (2012) The lengths of thread-like micelles inferred from rheology. J Rheol 56: 1363-1374.
23. Lerouge S, Berret JF (2010) Shear-induced transitions and instabilities in surfactant wormlike micelles, Adv Polym Sci, vol 230. Springer, Berlin, pp 1-71.
24. Liberatore MW, Nettesheim F, Vasquez PA, Helgeson ME, Wagner NJ, Kaler EW, Cook LP, Porcar L, Hu YT (2009) Microstructure and shear rheology of entangled wormlike micelles in solution. J Rheol 53: 441-458.
25. Macdonald IF (1973) Parallel superposition of simple shearing and small amplitude oscillatory motions. Trans Soc Rheol 17: 537-555.
26. Mewis J, Biebaut G (2001) Shear thickening in steady and superposition flows effect of particle interaction forces. J Rheol 45: 799-813.
27. Mewis J, Schoukens G (1978) Mechanical spectroscopy of colloidal dispersions. Faraday Discuss Chem Soc 65: 58-64.
28. Mewis J, Kaffashi B, Vermant J, Butera RJ (2001) Determining relaxation modes in flowing associative polymers using superposition flows. Macromolecules 34: 1376-1383.
29. Miller E, Rothstein JP (2007) Transient evolution of shear-banding wormlike micellar solutions. J Non-Newtonian Fluid Mech 143: 22-37.
30. Miller E, Clasen C, Rothstein J (2009) The effect of step-stretch parameters on capillary breakup extensional rheology (CaBER) measurements. Rheol Acta 48: 625-639.
31. Mobuchon C, Carreau PJ, Heuzey MC, Reddy NK, Vermant J (2009) Anisotropy of nonaqueous layered silicate suspensions subjected to shear flow. J Rheo l53: 517-538.
32. Moldenaers P, Mewis J (1993) On the nature of viscoelasticity in polymeric liquid crystals. J Rheo l37: 367-380.
33. Osaki K, Tamura M, Kurata M, Kotaka T (1965) Complex modulus of concentrated polymer solutions in steady shear1. J Phys Chem 69: 4183-4191.
34. Rehage H, Hoffmann H (1991) Viscoelastic surfactant solutions: model systems for rheological research. Mol Phys 74: 933-973.
35. Rogers S, Kohlbrecher J, Lettinga MP (2012) The molecular origin of stress generation in worm-like micelles, using a rheo-SANS LAOS approach. Soft Matter 8: 7831-7839.
36. Rubenstein M, Colby RH (2003) Polymer physics. Oxford University Press, New York.
37. Schubert BA, Kaler EW, Wagner NJ (2003) The microstructure and rheology of mixed cationic/anionic wormlike micelles. Langmuir 19: 4079-4089.
38. Simmons, JM (1966) A servo-controlled rheometer for measurement of the dynamic modulus of viscoelastic liquids. J Sci Instrum 43: 887.
39. Simmons, JM (1968) Dynamic modulus of polyisobutylene solutions in superposed steady shear flow. Rheol Acta 7: 184-188.
40. Snijkers F, D'Avino G, Maffettone PL, Greco F, Hulsen MA, Vermant J (2011) Effect of viscoelasticity on the rotation of a sphere in shear flow. J Non-Newtonian Fluid Mech 166: 363-372.
41. Somma E, Valentino O, Titomanlio G, Ianniruberto G (2007) Parallel superposition in entangled polydisperse polymer melts: experiments and theory. J Rheo l51: 987-1005.
42. Spenley NA, Cates ME, McLeish TCB (1993) Nonlinear rheology of wormlike micelles. Phys Rev Lett 71: 939-942.
43. Tanner, RI (1968) Comparative studies of some simple viscoelastic theories. Trans Soc Rheol 12: 155.
44. Tanner RI, Simmons JM (1967a) Combined simple and sinusoidal shearing in elastic liquids. Chem Eng Sci 22: 1803-1815.
45. Tanner RI, Simmons JM (1967b) An instability in some rate-type viscoelastic constitutive equations. Chem Eng Sci 22: 1079-1082.
46. Turner MS, Cates ME (1991) Linear viscoelasticity of living polymers: a quantitative probe of chemical relaxation times. Langmuir 7: 1590-1594.
47. van der Vorst B, van den Ende D, Tekin NA, Mellema J (1998) Viscoelastic behavior of an ordering latex suspension in a steady shear flow. Phys Rev E 57: 3115-3122.
48. Vermant J, Moldenaers P, Mewis J, Ellis M, Garritano R (1997) Orthogonal superposition measurements using a rheometer equipped with a force rebalanced transducer. Rev Sci Instrum 68: 4090-4096.
49. Vermant J, Walker L, Moldenaers P, Mewis J (1998) Orthogonal versus parallel superposition measurements. J Non-Newtonian Fluid Mech 79: 173-189.
50. Walker LM, Vermant J, Moldenaers P, Mewis J (2000) Orthogonal and parallel superposition measurements on lyotropic liquid crystalline polymers. Rheol Acta 39: 26-37.
51. Wong CM, Isayev AI (1989) Orthogonal superposition of small and large amplitude oscillations upon steady shear flow of polymer fluids. Rheol Acta 28: 176-189.
52. Yamamoto M (1971) Rate-dependent relaxation spectra and their determination. Trans Soc Rheol 15: 331-344.
53. Yesilata B, Clasen C, McKinley GH (2006) Nonlinear shear and extensional flow dynamics of wormlike surfactant solutions. J Non-Newtonian Fluid Mech 133: 73-90.
54. Zeegers J, Ende D, Blom C, Altena EG, Beukema GJ, Mellema J (1995) A sensitive dynamic viscometer for measuring the complex shear modulus in a steady shear flow using the method of orthogonal superposition. Rheol Acta 34: 606-621.