Transient Shear Banding in Time-dependent Fluids
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 ob...
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| creator | Illa, Xavier Puisto, Antti Lehtinen, Arttu Mohtaschemi, Mikael Alava, Mikko J |
| description | 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 non-homogeneous 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. |
| doi_str_mv | 10.48550/arxiv.1302.3335 |
| format | Article |
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| subjects | Computational fluid dynamics Evolution Physics - Soft Condensed Matter Positive feedback Rheological properties Rheology Shear stress Shear thinning (liquids) Time dependence Viscosity |
| title | Transient Shear Banding in Time-dependent Fluids |
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