Column collapse of granular rods
Autor: | Melissa Trepanier, Scott V. Franklin |
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Rok vydání: | 2010 |
Předmět: |
Physics
FOS: Physical sciences Collapse (topology) Radius Condensed Matter - Soft Condensed Matter 01 natural sciences Power law Rod 010305 fluids & plasmas Condensed Matter::Soft Condensed Matter 0103 physical sciences Calculus Soft Condensed Matter (cond-mat.soft) Astrophysics::Earth and Planetary Astrophysics Atomic physics 010306 general physics |
Zdroj: | Physical Review E. 82 |
ISSN: | 1550-2376 1539-3755 |
DOI: | 10.1103/physreve.82.011308 |
Popis: | 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 $3L/4$ 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 $\tilde H$, agreeing with previous experiments on ordinary sand. For low piles the scaling is linear, with $r_f\sim \tilde H^{1.2\pm 0.1}$. Above a critical pile aspect ratio (pile height/radius) this switches to a square-root scaling, with $H^{0.6\pm0.1}$. Comment: Submitted to Physical Review E, 6/2010 |
Databáze: | OpenAIRE |
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