The Johnson-Segalman model with a diffusion term in Couette flow

Details The Johnson-Segalman model with a diffusion term in Couette flow The Johnson-Segalman model with a diffusion term in Couette flow

1998-05-22

arxiv.org/abs/cond-mat/9805286v2

Journal of Rheology 44 (2000) 257-275

Physics

Condensed Matter

Soft Condensed Matter

14 pp, to be published in Journal of Rheology

Scientific paper

10.1122/1.551085

We study the Johnson-Segalman (JS) model as a paradigm for some complex fluids which are observed to phase separate, or ``shear-band'' in flow. We analyze the behavior of this model in cylindrical Couette flow and demonstrate the history dependence inherent in the local JS model. We add a simple gradient term to the stress dynamics and demonstrate how this term breaks the degeneracy of the local model and prescribes a much smaller (discrete, rather than continuous) set of banded steady state solutions. We investigate some of the effects of the curvature of Couette flow on the observable steady state behavior and kinetics, and discuss some of the implications for metastability.

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