2006.191: Nonlinear dynamics of an interface between shear bands
2006.191: S.M. Fielding and P.D. Olmsted (2006) Nonlinear dynamics of an interface between shear bands. Physical Review Letters, 96. pp. 1-4. ISSN 0031-9007
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DOI: 10.1103/PhysRevLett.96.104502
Abstract
We study numerically the nonlinear dynamics of a shear banding interface in two-dimensional planar shear flow, within the nonlocal Johnson-Segalman model. Consistent with a recent linear stability analysis, we find that an initially flat interface is unstable with respect to small undulations for a sufficiently small ratio of the interfacial width center dot to cell length L-x. The instability saturates in finite amplitude interfacial fluctuations. For decreasing center dot/L-x these undergo a nonequilibrium transition from simple traveling interfacial waves with constant average wall stress, to periodically rippling waves with a periodic stress response. When multiple shear bands are present we find erratic interfacial dynamics and a stress response suggesting low dimensional chaos.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | JOHNSON-SEGALMAN MODEL; VISCOELASTIC FLUID; PHASE-SEPARATION; FLOW; INSTABILITY; DIFFUSION; STABILITY; MICELLES; BEHAVIOR |
| Subjects: | MSC 2000 > 76 Fluid mechanics MSC 2000 > 82 Statistical mechanics, structure of matter |
| MIMS number: | 2006.191 |
| Deposited By: | Miss Louise Stait |
| Deposited On: | 13 July 2006 |
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