Vorticity structuring and velocity rolls triggered by gradient shear bands

Fielding, S.M. (2007) Vorticity structuring and velocity rolls triggered by gradient shear bands. Physical Review E, 76. ISSN 0031-9007

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Official URL: http://link.aps.org/abstract/PRE/v76/e016311

Abstract

We suggest a mechanism by which vorticity structuring and velocity rolls can form in complex fluids, triggered by the linear instability of one-dimensional gradient shear banded flow. We support this with a numerical study of the diffusive Johnson-Segalman model. In the steady vorticity structured state, the thickness of the interface between the bands remains finite in the limit of zero stress diffusivity, presenting a possible challenge to the accepted theory of shear banding.

Item Type: Article
Additional Information: The first version of this article, which appeared online, included a few mistakes in equation numbering that the publisher corrected almost immediately. Their note about the correction is available above and at DOI 10.1103/PhysRevE.76.019904
Uncontrolled Keywords: vortices; shear flow; diffusion; flow instability
Subjects: PACS 2010, the AIP's Physics and Astronomy Classification Scheme > 30 ATOMIC AND MOLECULAR PHYSICS > 36 Exotic atoms and molecules; macromolecules; clusters
PACS 2010, the AIP's Physics and Astronomy Classification Scheme > 40 ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID MECHANICS > 47 Fluid dynamics
Depositing User: Ms Lucy van Russelt
Date Deposited: 04 Dec 2007
Last Modified: 20 Oct 2017 14:12
URI: http://eprints.maths.manchester.ac.uk/id/eprint/970

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