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Polymer diffusive instability leading to elastic turbulence in plane Couette flow

Accepted version
Peer-reviewed

Type

Article

Change log

Abstract

Elastic turbulence is a chaotic flow state observed in dilute polymer solutions in the absence of inertia. It was discovered experimentally in circular geometries and has long been thought to require a finite amplitude perturbation in parallel flows. Here we demonstrate, within the commonly-used Oldroyd-B and FENE-P models, that a self-sustaining chaotic state can be initiated via a linear instability in a simple inertialess shear flow caused by the presence of small but non-zero diffusivity of the polymer stress. Numerical simulations show that the instability leads to a three-dimensional self- sustaining chaotic state, which we believe is the first reported in a wall-bounded, parallel, inertialess viscoelastic flow.

Description

Keywords

4012 Fluid Mechanics and Thermal Engineering, 40 Engineering

Journal Title

Physical Review Fluids

Conference Name

Journal ISSN

2469-990X
2469-990X

Volume Title

Publisher

American Physical Society (APS)
Sponsorship
EPSRC (EP/V027247/1)