Transient Shear Banding in Time-dependent Fluids
arXiv:1302.3335 · doi:10.1103/PhysRevE.87.022307
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 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.
6 pages, 5 figures
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Cited by in corpus (5)
- Yield Stress Materials in Soft Condensed Matter
- Unified theoretical and experimental view on transient shear banding
- A Small-gap Effective-Temperature Model of Transient Shear Band Formation During Flow
- Start-up inertia as an origin for heterogeneous flow
- Transient start-up dynamics and shear banding in aging soft glassy materials: Rate-controlled flow field