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  • Letter
  • Open Access

Polymer diffusive instability leading to elastic turbulence in plane Couette flow

Miguel Beneitez1, Jacob Page2, and Rich R. Kerswell1

  • 1DAMTP, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA, United Kingdom
  • 2School of Mathematics, University of Edinburgh, EH9 3FD, United Kingdom

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Phys. Rev. Fluids 8, L101901 – Published 13 October, 2023

DOI: https://doi.org/10.1103/PhysRevFluids.8.L101901

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 inertia-less shear flow caused by the presence of small but nonzero 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, inertia-less viscoelastic flow.

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Phys. Rev. Fluids 8, L101901– Published 13 October, 2023
  • Received 12 May 2023
  • Accepted 7 August 2023
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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