Nonlinear dynamics of an interface between shear bands

Fielding, S.M. and Olmsted, P.D. (2006) Nonlinear dynamics of an interface between shear bands. Physical Review Letters, 96. pp. 1-4. ISSN 0031-9007

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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 2010, the AMS's Mathematics Subject Classification > 76 Fluid mechanics MSC 2010, the AMS's Mathematics Subject Classification > 82 Statistical mechanics, structure of matter
Depositing User:	Ms Lucy van Russelt
Date Deposited:	13 Jul 2006
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/378

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