Column collapse of granular rods

M. Trepanier; Scott V. Franklin

doi:10.1103/PhysRevE.82.011308

paper

Column collapse of granular rods

arXiv:1005.0319 · doi:10.1103/PhysRevE.82.011308

Abstract

We find the collapse of columns of granular rods to show range of behaviors that depends on particle aspect ratio (length $L$ to diameter $d$ ) and initial pile geometry (height/radius). For all aspect ratios $L / d$ below 24 there exists a critical height at $L /4$ below which the pile acts as a solid, maintaining its initial shape, and a second critical height at $3 L /4$ above which the pile always collapses like an ordinary granular material. Separating the critical heights is a transition region in which the probability of collapse increases linearly from 0 to 1. This behavior is independent of particle length, width, or aspect ratio. When the pile does collapse, the runoff radius $r_{f}$ scales as a power-law with dimensionless height $H ~$ , agreeing with previous experiments on ordinary sand. For low piles the scaling is linear, with $r_{f} \sim H ~^{1.2 \pm 0.1}$ . Above a critical pile aspect ratio (pile height/radius) this switches to a square-root scaling, with $H^{0.6 \pm 0.1}$ .

Submitted to Physical Review E, 6/2010

Column collapse of granular rods

Abstract

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