Volume 48, Number 6, December 1999
|Page(s)||706 - 706|
|Section||Interdisciplinary physics and related areas of science and technology|
|Published online||01 September 2002|
A phenomenological model for shear-thickening in wormlike micelle solutions
Department of Chemical Engineering - MS-362, Rice University, 6100 Main Street, Houston, TX 77005, USA
2 Department of Chemical Engineering and Materials Department, University of California - Santa Barbara, CA 93106, USA
Accepted: 18 October 1999
We present a simple phenomenological model to describe shear-thickening in a wormlike micelle solution. The solution is assumed to undergo a reaction above a critical shear stress, to form a gel-like phase. There is no flow within this "gel" phase, and it is insoluble in the solution. The amount of gel in the system is determined by a competition between a stress-dependent reaction rate, which creates gel, and a constant breakage rate, which destroys gel. We recover a re-entrant region in the stress-shear rate curve, which is only accessible under controlled stress conditions. When the apparent shear rate is fixed, the corresponding stress-shear rate relation is discontinuous. Our results are in qualitative agreement with the experimental observations of Pine et al.
PACS: 83.50.Qm – Thixotropy; thickening flows / 83.70.Hq – Heterogeneous liquids: suspensions, dispersions, emulsions, pastes, slurries, foams, block copolymers, etc / 83.20.Bg – Macroscopic (phenomenological) theories
© EDP Sciences, 1999
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