Determination of the non-linear parameter (mobility factor) of the Giesekus constitutive model using LAOS procedure

Journal of Non-Newtonian Fluid Mechanics

Volumn 165, Issue 23-24, 2010, Pages 1564-1577

  Calin, Andreea ^a   Wilhelm, Manfred ^b   Balan, Corneliu ^c  

^a PROCTER AND GAMBLE COMPANY   (United States)

^b KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

^c UNIVERSITY POLITEHNICA OF BUCHAREST   (Romania)

Author keywords

FT rheology; Giesekus model; LAOS; Polymer solutions

Indexed keywords

CONSTITUTIVE RELATIONS; FLUID RHEOLOGY; FOURIER SPECTRA; FT-RHEOLOGY; GIESEKUS MODEL; LAOS; LARGE AMPLITUDE OSCILLATORY SHEAR; MATERIAL RESPONSE; MOBILITY FACTORS; NON-LINEAR; NON-LINEAR PARAMETERS; NON-LINEARITY; NONLINEAR EFFECT; NUMERICAL SOLUTION; OSCILLATORY SHEAR; POLYACRY LAMIDE; QUANTITATIVE MEASURES; SHEAR THINNING; STRESS RESPONSE; THIRD HARMONIC; VISCOELASTIC POLYMERS;

ELASTICITY; POLYMER BLENDS; RHEOLOGY; SHEAR STRESS; STEADY FLOW;

VISCOSITY;

EID: 78149469031     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2010.08.008     Document Type: Review

References (43)

1. Giacomin J., Dealy J.M. Large amplitude oscillatory shear. Techniques in Rheological Measurements 1993, 99-120. Chapman and Hall, London. A.A. Collyer, D.W. Clegg (Eds.).
2. Carreau P.J., De Kee D.C.R., Chhabra R.P. Rheology of Polymeric Systems: Principles and Applications 1997, Hanser Publ, Cincinnati.
3. Macdonald I.F. Large amplitude oscillatory shear flow of viscoelastic materials. Rheol. Acta 1975, 14:801-811.
4. Isayev A.I., Wong C.M. Parallel superposition of small- and large-amplitude oscillations upon steady shear flow of polymer fluids. J. Polymer Sci: Part B: Polymer Phys. 1988, 26:2303-2327.
5. Graham M.D. Wall slip and the nonlinear dynamics of large amplitude oscillatory shear flows. J. Rheol. 1995, 39:697-712.
6. Yziquel F., Carreau P.J., Tanguy P.A. Non-linear viscoelastic behavior of fumed silica suspensions. Rheol. Acta 1999, 38:14-25.
7. Wilhelm M., Reinheimer P., Ortseifer M., Neidhoefer T., Spiess H.W. The crossover between linear and non-linear mechanical behaviour in polymer solutions as detected by Fourier-transform rheology. Rheol. Acta 2000, 39:241-246.
8. Wilhelm M. Fourier-transform rheology. Macromol. Mater. Eng. 2002, 287:83-105.
9. Debbaut B., Burhin H. Large amplitude oscillatory shear and Fourier transform rheology for a high-density polyethylene: experiments and numerical simulation. J. Rheol. 2002, 46:1155-1176.
10. Hyun K., Kim S.H., Ahn K.H., Lee S.J. Large amplitude oscillatory shear as a way to classify the complex fluids. J. Non-Newtonian Fluid Mech. 2002, 107:51-65.
11. Cho K.S., Ahn K.H., Lee S.J. A geometrical interpretation of large amplitude oscillatory shear response. J. Rheol. 2005, 49:747-758.
12. Yao N.Y., Larsen R.J., Weitz D.A. Probing nonlinear rheology with inertio-elastic oscillations. J. Rheol. 2008, 52:1013-1025.
13. Yu W., Wang P., Zhou C. General stress decomposition in nonlinear oscillatory shear flow. J. Rheol. 2009, 53:215-238.
14. Neidhofer T., Wilhelm M., Debbaut B. Fourier-transform rheology experiments and finite-element simulations on linear polystyrene solutions. J. Rheol. 2003, 47:1351-1371.
15. Hyun K., Wilhelm M. Establishing a new mechanical nonlinear coefficient Q from FT-rheology: first investigation of entangled linear and comb polymer model systems. Macromolecules 2009, 42:411-422.
16. Kim S.H., Sim H.G., Ahn K.H., Lee S.J. Large amplitude oscillatory shear behavior of the networkmodel for associating polymer systems. Korea-Aust. Rheol. J. 2002, 14:49-55.
17. Jeyaseelan R.S., Giacomin A.J. Network theory for polymer solutions in large amplitude oscillatory shear. J. Non-Newtonian Fluid Mech. 2008, 148:24-32.
18. Karis T.E., Kono R.-N., Jhon M.S. Harmonic analysis in grease rheology. J. Appl. Polymer Sci. 2003, 90:334-343.
19. Stastna J., Jorshari K., Zanzotto L. Nonlinear dynamic moduli in asphalt. Mater. Struct. 2002, 35:59-63.
20. Craciun L., Carreau P.J., Heuzey M.-C., van de Ven T.G.M., Moan M. Rheological properties of concentrated latex suspensions of poly(styrene-butadiene). Rheol. Acta 2003, 42:410-420.
21. Hyun K., Hofl S., Kahle S., Wilhelm M. Polymer motion as detected via dielectric spectra of 1,4-cis-polyisoprene under large amplitude oscillatory shear (LAOS). J. Non-Newtonian Fluid Mech. 2009, 160:93-103.
22. Ewoldt R.H., Clasen C., Hosoi A.E., McKinley G.H. Rheological fingerprinting of gastropod pedal mucus and synthetic complex fluids for biomimicking adhesive locomotion. Soft Mater. 2007, 3:634-643.
23. Ewoldt R.H., Hoso A.E., McKinley G.H. New measures for characterizing nonlinear viscoelasticity in large amplitude oscillatory shear. J. Rheol. 2008, 52:1427-1458.
24. Ewoldt R.H., Winter P., Maxey J., McKinley G.H. Large amplitude oscillatory shear of pseudoplastic and elastoviscoplastic materials. Rheol. Acta 2010, 49:191-212.
25. Klein C.O., Spiess H.W., Calin A., Balan C., Wilhelm M. Separation of the nonlinear oscillatory response into a superposition of linear, strain hardening, strain softening, and wall slip response. Macromolecules 2007, 40:4250-4259.
26. Calin A., Balan C., Wilhelm M. A new approach to determine the nonlinear parameter of the Giesekus constitutive model. XVth Int. Congress Rheology - Monterey 2008, 1372-1374. A. Co, I.G. Leal, R.H. Colby, A.J. Giacomin (Eds.).
27. Giesekus H. A unified approach to a variety of constitutive models for polymer fluids based on the concept of configuration-dependent molecular mobility. Rheol. Acta 1982, 21:366-375.
28. Giesekus H. A simple constitutive equation for polymeric fluids based on the concept of configuration-dependent tensorial mobility. J. Non-Newtonian Fluid Mech. 1982, 11:69-109.
29. A. Calin, Modeling the flow of polymeric fluids in complex geometries, Ph.D. thesis, Politehnica University of Bucharest, 2008.
30. Larson R.G. The Structure and Rheology of Complex Fluids 1999, Oxford University Press, New York.
31. Ewoldt R.H., McKinley G.H. On secondary loops in LAOS via self-intersection of Lissajous-Bowditch curves. Rheol. Acta 2010, 49:213-219.
32. D'Avino G., Hulsen M.A., Greco F., Maffettone P.L. Rheology of a dilute suspension of spheres in a viscoelastic fluid under large amplitude oscillations. J. Comput. Theor. Nanosci. 2010, 7:780-786.
33. Atalik K., Keunings R. On the occurrence of even harmonics in the shear stress response of viscoelastic fluids in large amplitude oscillatory shear. J. Non-Newtonian Fluid Mech. 2004, 122:107-116.
34. Wapperom P., Leygue A., Keunings R. Numerical simulation of large amplitude oscillatory shear of a high-density polyethylene melt using the MSF model. J. Non-Newtonian Fluid Mech. 2005, 130:63-76.
35. Klein C.O., Naue I.F.C., Nijman J., Wilhelm M. Addition of the force measurement capability to a commercially available extensional rheometer (CaBER). Soft Mater. 2009, 7:242-257.
36. van Dusschoten D., Wilhelm M. Increased torque transducer sensitivity via oversampling. Rheol. Acta 2001, 40:395-399.
37. Baumgaertel M., Winter H.H. Determination of discrete relaxation and retardation time spectra from dynamic mechanical data. Rheol. Acta 1989, 28:511-519.
38. Vlassopoulos D., Hatzikiriakos S.G. A generalized Giesekus constitutive model with retardation time and its association to the spurt effect. J. Non-Newtonian Fluid Mech. 1995, 57:119-136.
39. Fischer P. The nonlinear rheological response of viscoelastic surfactant solutions and its quantitative description by the Giesekus model. Appl. Rheol. 1997, 7:58-66.
40. Langouche F., Debbaut B. Rheological characterization of a high-density polyethylene with a multi-mode differential viscoelastic model and numerical simulation of transient elongational recovery. Rheol. Acta 1999, 38:48-64.
41. Nam J.G., Hyun K., Ahn K.H., Lee S.J. Prediction of normal stresses under large amplitude oscillatory shear flow. J. Non-Newtonian Fluid Mech. 2008, 150:1-10.
42. Läuger J., Stettin H. Differences between stress and strain control in the non-linear behavior of complex fluids. Rheol. Acta 2000, 10.1007/s00397-010-0450-0.
43. ***Constrained optimization (Tutorial in Wolfram Mathematica), Wolfram Research Inc., 2008.