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Power-law flow statistics in anisometric (wedge) hoppers.

Authors :
Saraf S
Franklin SV
Source :
Physical review. E, Statistical, nonlinear, and soft matter physics [Phys Rev E Stat Nonlin Soft Matter Phys] 2011 Mar; Vol. 83 (3 Pt 1), pp. 030301. Date of Electronic Publication: 2011 Mar 03.
Publication Year :
2011

Abstract

We find the probability for N particles to exit an anisometric (having unequal dimensions) hopper before jamming to have a broad power-law decay with exponent α = -2, in marked contrast to the exponential decay seen in hoppers with symmetric apertures. The transition from exponential to power law is explained by amodel that assumes particle motion is correlated over a distinct length scale. Hoppers with lengths larger than this length are modeled as a series of adjacent, statistically independent "cells." Experiments with apertures 27-37 particle diameters D long are well fit by a three-cell model, implying that the correlation length is ≈ 9-12D.

Details

Language :
English
ISSN :
1550-2376
Volume :
83
Issue :
3 Pt 1
Database :
MEDLINE
Journal :
Physical review. E, Statistical, nonlinear, and soft matter physics
Publication Type :
Academic Journal
Accession number :
21517440
Full Text :
https://doi.org/10.1103/PhysRevE.83.030301