Transient shear banding in time-dependent fluids
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© 2013 American Physical Society (APS). This is the accepted version of the following article: Illa, Xavier & Puisto, Antti & Lehtinen, Arttu & Mohtaschemi, Mikael & Alava, Mikko J. 2013. Transient shear banding in time-dependent fluids. Physical Review E. Volume 87, Issue 2. 022307/1-5. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.87.022307, which has been published in final form at http://journals.aps.org/pre/abstract/10.1103/PhysRevE.87.022307.
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en
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022307/1-5
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Physical Review E, Volume 87, Issue 2
Abstract
We study the dynamics of shear-band formation and evolution using a simple rheological model. The description couples the local structure and viscosity to the applied shear stress. We consider in detail the Couette geometry, where the model is solved iteratively with the Navier-Stokes equation to obtain the time evolution of the local velocity and viscosity fields. It is found that the underlying reason for dynamic effects is the nonhomogeneous shear distribution, which is amplified due to a positive feedback between the flow field and the viscosity response of the shear thinning fluid. This offers a simple explanation for the recent observations of transient shear banding in time-dependent fluids. Extensions to more complicated rheological systems are considered.Description
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Illa, Xavier & Puisto, Antti & Lehtinen, Arttu & Mohtaschemi, Mikael & Alava, Mikko J. 2013. Transient shear banding in time-dependent fluids. Physical Review E. Volume 87, Issue 2. 022307/1-5. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.87.022307.