Dasan, J and Ramamohan, TR and Singh, Anugrah and Nott, Prabhu R (2002) Stress fluctuations in sheared Stokesian suspensions. In: Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 66 (2). 021409/1-14.
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Abstract
We report an analysis, using the tools of nonlinear dynamics and chaos theory, of the fluctuations in the stress determined from simulations of shear flow of Stokesian suspensions. The simulations are for shear between plane parallel walls of a suspension of rigid identical spheres in a Newtonian fluid, over a range of particle concentration. By analyzing the time series of the stress, we find that the dynamics underlying these fluctuations is deterministic, low-dimensional, and chaotic. We use the dynamic and metric invariants of the underlying dynamics as a means of characterizing suspension behavior. The dimension of the chaotic attractor increases with particle concentration, indicating the increasing influence of multiple-body interactions on the rheology of the suspension with rise in particle concentration. We use our analysis to make accurate predictions of the short-term evolution of a stress component from its preceding time series, and predict the evolution of one component of the stress using the time series of another. We comment on the physical origin of the chaotic stress fluctuations, and on the implications of our results on the relation between the microstructure and the stress.
| Item Type: | Journal Article |
|---|---|
| Publication: | Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) |
| Publisher: | American Physical Society (APS) |
| Additional Information: | The DOI is currently only displayed. Copyright for this article belongs to American Physical Society (APS) |
| Department/Centre: | Division of Mechanical Sciences > Chemical Engineering |
| Date Deposited: | 23 Jun 2004 |
| Last Modified: | 19 Sep 2010 04:12 |
| URI: | http://eprints.iisc.ac.in/id/eprint/423 |
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