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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/60723

Transient shear banding in time-dependent fluids

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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.

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ILLA I TORTÓS, Xavier, et al. Transient shear banding in time-dependent fluids. Physical Review E. 2013. Vol. 87, num. 022307, pags. 022307-1-022307-5. ISSN 1539-3755. [consulted: 14 of August of 2026]. Available at: https://hdl.handle.net/2445/60723

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