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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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