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Phys. Rev. Lett. 62, 2825–2828 (1989)

Pattern formation in flowing sand

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G. William Baxter and R. P. Behringer
Department of Physics and Center for Nonlinear Studies, Duke University, Durham, North Carolina 27706

Timothy Fagert and G. Allan Johnson
Department of Radiology, Duke University Medical Center, Durham, North Carolina 27706

Received 23 November 1988; published in the issue dated 12 June 1989

Using digital subtraction radiography, we study the basic modes of a granular material (here sand) flowing through a flat hopper. These modes take the form of density waves whose formation and propagation is controlled by several parameters, including the mass flow rate M and the hopper angle θ. We consider the effect of roughness on pattern formation in this system using mixtures of smooth and faceted sand and show the existence of a bifurcation at a mass fraction of faceted sand X≊0.2. Propagating patterns form in faceted sand but not in smooth sand of the same size.

© 1989 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.62.2825
DOI:
10.1103/PhysRevLett.62.2825
PACS:
47.35.+i, 47.50.+d, 62.90.+k