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.
Preview |
PDF
FieldingWilson2010.pdf Available under License : See the attached licence file. Download (518kB) |
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 |
Archive Staff Only
View Item |