Probing shear-banding transitions of the VCM model for entangled wormlike micellar solutions using large amplitude oscillatory shear (LAOS) deformations

▶ Probe shear-banding dynamics of models under LAOS (Large Amplitude Oscillatory Shear). ▶ LAOS predictions of a two-species model of entangled wormlike micellar mixtures. ▶ Assemble responses of shear-banded wormlike micelles to LAOS in Pipkin diagram. ▶ Lissajous phase planes for the VCM (Vasquez,...

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Bibliographic Details
Published in:Journal of non-Newtonian fluid mechanics 2010-11, Vol.165 (21), p.1462-1472
Main Authors: Zhou, Lin, Cook, L.Pamela, McKinley, Gareth H.
Format: Article
Language:English
Subjects:
Amplitudes
Breakage
Chemistry
Colloidal state and disperse state
Constitutive relationships
Deformation
Exact sciences and technology
General and physical chemistry
LAOS
Mathematical models
Micelles. Thin films
Networks
Nonlinear dynamics
Pipkin diagram
Shear
Shear banding
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Summary:▶ Probe shear-banding dynamics of models under LAOS (Large Amplitude Oscillatory Shear). ▶ LAOS predictions of a two-species model of entangled wormlike micellar mixtures. ▶ Assemble responses of shear-banded wormlike micelles to LAOS in Pipkin diagram. ▶ Lissajous phase planes for the VCM (Vasquez, Cook, McKinley) two-species models. ▶ Comparison of elastic/viscous Chebyshev coefficient response for a VCM model. We explore the use of large amplitude oscillatory shear (LAOS) deformation to probe the dynamics of shear-banding in soft entangled materials, primarily wormlike micellar solutions which are prone to breakage and disentanglement under strong deformations. The state of stress in these complex fluids is described by a class of viscoelastic constitutive models which capture the key linear and nonlinear rheological features of wormlike micellar solutions, including the breakage and reforming of an entangled network. At a frequency-dependent critical strain, the imposed deformation field localizes to form a shear band, with a phase response that depends on the frequency and amplitude of the forcing. The different material responses are compactly represented in the form of Lissajous (phase plane) orbits and a corresponding strain-rate and frequency-dependent Pipkin diagram. Comparisons between the full network model predictions and those of a simpler, limiting case are presented.
ISSN:0377-0257
1873-2631
DOI:10.1016/j.jnnfm.2010.07.009