We develop a rheological model to approximate the nonlinear rheology of wormlike micelles using two constitutive models to represent a structural transition at high shear rates. The model is intended to describe the behavior of semidilute wormlike micellar solutions over a wide range of shear rates whose parameters can be determined mainly from small-amplitude equilibrium measurements. Length evolution equations are incorporated into reactive Rolie-Poly entangled-polymer rheology and dilute reactive-rod rheology, with a kinetic exchange between the two models. Although the micelle length is remarkably reduced during flow, surprisingly, we propose that they are not shortened by stress-enhanced breakage, which remains thermally driven. Instead, we hypothesize that stretching energy introduces a linear potential that decreases the rate of recombination and reduces the mean micelle length. This stress-hindered recombination approach accurately describes transient stress-growth upon start-up shear flow, and it predicts a transition of shear viscosity and alignment response observed at high shear rates. The proposed mechanism applies only when self-recombination occurs frequently. The effect of varying the relative rate of self-recombination on the rheology of wormlike micelles at high shear rates is yet to be explored.
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November 2024
Research Article|
October 08 2024
Two-species model for nonlinear flow of wormlike micelle solutions. Part I: Model
Paul F. Salipante
;
Paul F. Salipante
a)
1
Polymers and Complex Fluids Group, National Institute of Standards and Technology
, Gaithersburg, Maryland 20899a)Authors to whom correspondence should be addressed; electronic mail: paul.salipante@nist.gov; mec2sma@rit.edu; and steven.hudson@nist.gov
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Michael Cromer
;
Michael Cromer
a)
2
School of Mathematics and Statistics, Rochester Institute of Technology
, Rochester, New York 14623a)Authors to whom correspondence should be addressed; electronic mail: paul.salipante@nist.gov; mec2sma@rit.edu; and steven.hudson@nist.gov
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Steven D. Hudson
Steven D. Hudson
a)
1
Polymers and Complex Fluids Group, National Institute of Standards and Technology
, Gaithersburg, Maryland 20899a)Authors to whom correspondence should be addressed; electronic mail: paul.salipante@nist.gov; mec2sma@rit.edu; and steven.hudson@nist.gov
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a)Authors to whom correspondence should be addressed; electronic mail: paul.salipante@nist.gov; mec2sma@rit.edu; and steven.hudson@nist.gov
J. Rheol. 68, 873–894 (2024)
Article history
Received:
October 06 2023
Accepted:
September 14 2024
Citation
Paul F. Salipante, Michael Cromer, Steven D. Hudson; Two-species model for nonlinear flow of wormlike micelle solutions. Part I: Model. J. Rheol. 1 November 2024; 68 (6): 873–894. https://doi.org/10.1122/8.0000775
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