Volume 85, Number 2, January 2009
|Number of page(s)||5|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||22 January 2009|
On the dependence of the avalanche angle on the granular layer thickness
School of Engineering and Applied Sciences, Harvard University - 29 Oxford Street, Cambridge, MA 02138, USA and Janelia Farm, HHMI - 19700 Helix Drive, Ashburn, VA 20147, USA
Corresponding author: firstname.lastname@example.org
Accepted: 16 December 2008
A layer of sand of thickness h flows down a rough surface if the inclination is larger than some threshold value which decreases with increasing h. A tentative microscopic model for the dependence of on h is proposed for rigid frictional grains, based on the following hypothesis: i) a horizontal layer of sand has some coordination z larger than a critical value zc, where mechanical stability is lost ii) as the tilt angle is increased, the configurations visited present a growing proportion zs of sliding contacts. Instability with respect to flow occurs when . This criterion leads to a prediction for in good agreement with empirical observations.
PACS: 45.70.Ht – Avalanches / 47.57.Gc – Granular flow
© EPLA, 2009
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