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