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The granular silo as a visco-plastic flow (or why sandglasses do not flow like water-clocks)

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If you have a question about this talk, please contact Dr Ed Brambley.

Granular matter is well-known for its ability to flow like a viscous fluid or resist shear like a solid, evolving from one state to the other over a few grain diameters. These complex flow properties are perhaps best illustrated during the discharge of a silo, where rapid motion, slow shear and static equilibrium co-exist at all times. This makes the silo configuration a stringent test for continuum modeling of granular matter.

Implementing a plastic rheology in a 2D Navier-Stokes solver, we simulate the continuum counterpart of the granular silo. Doing so, we obtain a behavior in agreement with experimental observation. Focussing on the role of the plastic yield stress in the flow characteristics, we discuss the difference between the discharge of granular matter (as in a sandglass) and of a viscous fluid (as in a clepsydra). The strengths and limitations of the plastic rheology implemented (the “mu(I)” flow-law) are then discussed in the light of discrete element simulations.

This talk is part of the Fluid Mechanics (DAMTP) series.

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