Periodic “stick-slip” transition within a continuum model for entangled supramolecular polymers

Abstract

Article:Boudara, VAH orcid.org/0000-0001-8156-0402 and Read, DJ orcid.org/0000-0003-1194-9273 (2018) Periodic "stick-slip" transition within a continuum model for entangled supramolecular polymers. Journal of Rheology, 62 (1). pp. [249][250][251][252][253][254][255][256][257][258][259][260][261][262][263][264] https://doi.org/10.1122/1.5000454 © 2017 by The Society of Rheology, Inc. This is an author produced version of a paper accepted for publication in Journal of Rheology. Uploaded in accordance with the publisher's self-archiving policy. This is an author produced version of a paper accepted for publication in Journal of Rheology. Uploaded in accordance with the publisher's self-archiving policy.eprints@whiterose.ac.uk https://eprints.whiterose.ac.uk/ Reuse Unless indicated otherwise, fulltext items are protected by copyright with all rights reserved. The copyright exception in section 29 of the Copyright, Designs and Patents Act 1988 allows the making of a single copy solely for the purpose of non-commercial research or private study within the limits of fair dealing. The publisher or other rights-holder may allow further reproduction and re-use of this version -refer to the White Rose Research Online record for this item. Where records identify the publisher as the copyright holder, users can verify any specific terms of use on the publisher's website. TakedownIf you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing eprints@whiterose.ac.uk including the URL of the record and the reason for the withdrawal request. AbstractWe investigate shear flow instabilities using a recently-derived constitutive law, designed for describing the rheology of entangled telechelic polymers. The continuum model displays shear banding, often accompanied by a strong elastic recoil in the transient response, which appears as an "apparent" wall slip. For certain parameters, the model also displays a novel "apparent" stick-slip behavior, giving rise to strong nonlinear oscillations in the stress response driven by a repeating cycle of elastic recoil followed by diffusive rehomogenization of the flow. We elucidate the detailed mechanism behind this oscillatory response, demonstrating that it arises from a competition between shear-induced breaking of sticky bonds, which leads to recoil and banding, and a diffusive rehomogenization of the flow. We discuss the relation between the apparent stick-slip in our continuum model with similar behavior in "true" wall slip. * d.j.read@leeds.ac.uk