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Phys. Rev. Lett. 95, 134501 (2005) [4 pages]

Linear Instability of Planar Shear Banded Flow

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S. M. Fielding*
Polymer IRC and School of Physics & Astronomy, University of Leeds, Leeds LS2 9JT, United Kingdom

Received 21 January 2005; published 20 September 2005

We study the linear stability of planar shear banded flow with respect to perturbations with wave vector in the plane of the banding interface, within the nonlocal Johnson-Segalman model. We find that perturbations grow in time, over a range of wave vectors, rendering the interface linearly unstable. Results for the unstable eigenfunction are used to discuss the nature of the instability. We also comment on the stability of phase separated domains to shear flow in model H.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.134501
DOI:
10.1103/PhysRevLett.95.134501
PACS:
47.50.+d, 47.55.Kf, 61.25.Hq, 83.60.Wc

*Present address: School of Mathematics, University of Manchester, Booth St. East, Manchester M13 9EP, U.K.

Electronic address: suzanne.fielding@manchester.ac.uk