A simple model for heterogeneous flows of yield stress fluids

Details A simple model for heterogeneous flows of yield stress fluids A simple model for heterogeneous flows of yield stress fluids

2002-06-14

arxiv.org/abs/cond-mat/0206260v2

Physics

Condensed Matter

Soft Condensed Matter

13 pages, 13 figures

Scientific paper

10.1103/PhysRevE.66.051501

Various experiments evidence spatial heterogeneities in sheared yield stress fluids. To account for heterogeneities in the velocity gradient direction, we use a simple model corresponding to a non-monotonous local constitutive curve and study a simple shear geometry. Different types of boundary conditions are considered. Under controlled macroscopic shear stress $\Sigma$, we find homogeneous flow in the bulk and a hysteretic macroscopic stress - shear rate curve. Under controlled macroscopic shear rate $\dot{\Gamma}$, shear banding is predicted within a range of values of $\dot{\Gamma}$. For small shear rates, stick slip can also be observed. These qualitative behaviours are robust when changing the boundary conditions.

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