Abstract

We present the results of both experimental and numerical investigations of the silo discharge for a cohesive granular material. In our study, thanks to a cohesion-controlled granular material (CCGM) we propose to investigate the effect of the cohesive length lc, on the discharge of a silo for two different configurations, one axisymmetrical, and one quasi-2D rectangular silo. In both configurations, an adjustable bottom is used to control the size of the orifice. As observed for cohesionless granular material by previous studies, the mass flow rate and the density through an orifice are mostly controlled by the diameter of the orifice D. The experimental results of the quasi-2D silo are compared with continuum numerical simulations.

Highlights

  • We present the results of both experimental and numerical investigations of the silo discharge for a cohesive granular material

  • We recently developed a cohesion-controlled granular material (CCGM) [7] where the cohesion originates from a polymer coating of glass 2 Experimental and numerical methods particles

  • For lc/d > 1, the threshold is given by D = 4lc. It appears that for cohesive granular material, the cohesive length is replacing the size of the grains for the threshold of flowability

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Summary

Numerical simulations

The experimental measurements of the quasi-2D silo are compared to a numerical model based on a 2D NavierStokes solver (Basilisk [14, 15]) including a simple cohesive granular rheology. The granular rheology is modelled with the classical μ(I) constitutive law, where the friction coefficient is a function of the dimensionless inertial number I. Where μs is the friction coefficient of the granular material and P is the pressure. In our model, this rheology is enhanced with the cohesion between particles which is represented as a yield stress τc so that the tangential stress τ is τ = τc + μ(I)P. The numerical cohesive length is defined lnum = τc/ρgLnum. This dimensionless cohesive length is used as the parameter to control the cohesion in the simulations

Axisymmetric silo
Quasi-2D silo
Conclusion
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