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Shear banding and interfacial instability in planar Poiseuille flow

Fielding, SM; Wilson, HJ; (2010) Shear banding and interfacial instability in planar Poiseuille flow. J NON-NEWTON FLUID , 165 (5-6) 196 - 202. 10.1016/j.jnnfm.2009.12.001. Green open access

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Abstract

Motivated by the need for a theoretical study in a planar geometry that can easily be implemented experimentally, we study the pressure driven Poiseuille flow of a shear banding fluid. After discussing the "basic states" predicted by a one-dimensional calculation that assumes a flat interface between the bands, we proceed to demonstrate such an interface to be unstable with respect to the growth of undulations along it. We give results for the growth rate and wavevector of the most unstable mode that grows initially, as well as for the ultimate flow patterns to which the instability leads. We discuss the relevance of our predictions to the present state of the experimental literature concerning interfacial instabilities of shear banded flows, in both conventional rheometers and microfluidic channels. (C) 2009 Elsevier B.V. All rights reserved.

Type: Article
Title: Shear banding and interfacial instability in planar Poiseuille flow
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.jnnfm.2009.12.001
Keywords: Shear banding, Interfacial instability, Poiseuille flow, WORMLIKE MICELLES, EQUILIBRIUM POLYMERS, SURFACTANT SOLUTIONS, NEMATIC TRANSITION, TRANSIENT-BEHAVIOR, CHAOTIC DYNAMICS, PHASE-TRANSITION, LAMELLAR PHASE, COUETTE-FLOW, BANDED FLOW
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/20235
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