Instability and spatiotemporal rheochaos in a shear-thickening fluid model

Details Instability and spatiotemporal rheochaos in a shear-thickening fluid model Instability and spatiotemporal rheochaos in a shear-thickening fluid model

2004-10-20

arxiv.org/abs/cond-mat/0410509v1

Published in Europhysics Letters, vol. 70, pp. 397-403 (2005).

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

We model a shear-thickening fluid that combines a tendency to form inhomogeneous, shear-banded flows with a slow relaxational dynamics for fluid microstructure. The interplay between these factors gives rich dynamics, with periodic regimes (oscillating bands, travelling bands, and more complex oscillations) and spatiotemporal rheochaos. These phenomena, arising from constitutive nonlinearity not inertia, can occur even when the steady-state flow curve is monotonic. Our model also shows rheochaos in a low-dimensional truncation where sharply defined shear bands cannot form.

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