Two dimensional mechanical correlation analysis on nonlinear oscillatory shear flow of yield stress fluids

Kai Yang; Jun Wang; Wei Yu

Korea-Australia Rheology Journal, Vol.28, No.3, 175-180, August, 2016

DOI10.1007/s13367-016-0017-4 Export Citation

Two dimensional mechanical correlation analysis on nonlinear oscillatory shear flow of yield stress fluids

Kai Yang^{1, 2}, Jun Wang^{1, 3}, and Wei Yu^{1, 3, †}

¹Advanced Rheology Institute, Shanghai Key Laboratory of Electrical Insulation and Thermal Ageing, Department of Polymer Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, P.R. China
²Malvern Instruments, Shanghai 200233, P.R. China
³, China

E-mail:

Large amplitude oscillation shear (LAOS) is used to investigate the yielding and flow behavior of yield stress materials. Considering the problems in determination of the yield stress from the apparent dynamic moduli and relative harmonic intensity using Fourier Transform Rheology, we proposed a new approach based on 2D mechanical correlation spectra (2D-MCS) to quantify the yield stress. We have proved that the nonlinear synchronous self-correlation intensity as functions of stress/strain amplitude can be used to determine the yield stress unambiguously from the change of scaling exponent. The yield stresses from 2D-MCS analysis are well consistent with those from the stress ramp experiments.

Keywords:yield stress;2D mechanical correlation spectra (2D-MCS);LAOS;nonlinearity

[References]

Barnes HA, J. Non-Newton. Fluid Mech., 81(1-2), 133 (1999)
Coussot P, Nguyen QD, Huynh HT, Bonn D, J. Rheol., 46(3), 573 (2002)
Dimitriou CJ, Ewoldt RH, McKinley GH, J. Rheol., 57(1), 27 (2013)
Evans ID, J. Rheol., 36, 1313 (1992)
Gibaud T, Frelat D, Manneville S, Soft Matter, 6, 3482 (2010)
He P, Shen W, Yu W, Zhou CX, Macromolecules, 47(2), 807 (2014)
He Q, Yu W, Wu YJ, Zhou CX, Soft Matter, 8, 2992 (2012)
Hyun K, Wilhelm M, Klein CO, Cho KS, Nam JG, Ahn KH, Lee SJ, Ewoldt RH, McKinley GH, Prog. Polym. Sci, 36, 1697 (2011)
Hyun K, Kim SH, Ahn KH, Lee SJ, J. Non-Newton. Fluid Mech., 107(1-3), 51 (2002)
Noda I, Ozaki Y, 2004, Two-Dimensional Correlation Spectroscopy-Applications in Vibrational and Optical Spectroscopy, John Wiley & Sons, Chichester, England.
Piau JM, J. Non-Newton. Fluid Mech., 144(1), 1 (2007)
Renou F, Stellbrink J, Petekidis G, J. Rheol., 54(6), 1219 (2010)
Rogers SA, Erwin BM, Vlassopoulos D, Cloitre M, J. Rheol., 55(2), 435 (2011)
Walls HJ, Caines SB, Sanchez AM, Khan SA, J. Rheol., 47(4), 847 (2003)
Wang J, Guo Y, Yu W, Zhou CX, Steeman P, Rheol. Acta, 55(1), 37 (2016)
Wilhelm M, Maring D, Spiess HW, Rheol. Acta, 37(4), 399 (1998)
Yu W, Du Y, Zhou CX, J. Rheol., 57(4), 1147 (2013)

[1] Barnes HA, J. Non-Newton. Fluid Mech., 81(1-2), 133 (1999)

[2] Coussot P, Nguyen QD, Huynh HT, Bonn D, J. Rheol., 46(3), 573 (2002)

[3] Dimitriou CJ, Ewoldt RH, McKinley GH, J. Rheol., 57(1), 27 (2013)

[4] Evans ID, J. Rheol., 36, 1313 (1992)

[5] Gibaud T, Frelat D, Manneville S, Soft Matter, 6, 3482 (2010)

[6] He P, Shen W, Yu W, Zhou CX, Macromolecules, 47(2), 807 (2014)

[7] He Q, Yu W, Wu YJ, Zhou CX, Soft Matter, 8, 2992 (2012)

[8] Hyun K, Wilhelm M, Klein CO, Cho KS, Nam JG, Ahn KH, Lee SJ, Ewoldt RH, McKinley GH, Prog. Polym. Sci, 36, 1697 (2011)

[9] Hyun K, Kim SH, Ahn KH, Lee SJ, J. Non-Newton. Fluid Mech., 107(1-3), 51 (2002)

[10] Noda I, Ozaki Y, 2004, Two-Dimensional Correlation Spectroscopy-Applications in Vibrational and Optical Spectroscopy, John Wiley & Sons, Chichester, England.

[11] Piau JM, J. Non-Newton. Fluid Mech., 144(1), 1 (2007)

[12] Renou F, Stellbrink J, Petekidis G, J. Rheol., 54(6), 1219 (2010)

[13] Rogers SA, Erwin BM, Vlassopoulos D, Cloitre M, J. Rheol., 55(2), 435 (2011)

[14] Walls HJ, Caines SB, Sanchez AM, Khan SA, J. Rheol., 47(4), 847 (2003)

[15] Wang J, Guo Y, Yu W, Zhou CX, Steeman P, Rheol. Acta, 55(1), 37 (2016)

[16] Wilhelm M, Maring D, Spiess HW, Rheol. Acta, 37(4), 399 (1998)

[17] Yu W, Du Y, Zhou CX, J. Rheol., 57(4), 1147 (2013)