Granular discharge and clogging for tilted hoppers

Details Granular discharge and clogging for tilted hoppers Granular discharge and clogging for tilted hoppers

2008-10-02

arxiv.org/abs/0810.0495v3

Granular Matter 12, 579-58 (2010)

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1007/s10035-010-0198-3

We measure the flux of spherical glass beads through a hole as a systematic function of both tilt angle and hole diameter, for two different size beads. The discharge increases with hole diameter in accord with the Beverloo relation for both horizontal and vertical holes, but in the latter case with a larger small-hole cutoff. For large holes the flux decreases linearly in cosine of the tilt angle, vanishing smoothly somewhat below the angle of repose. For small holes it vanishes abruptly at a smaller angle. The conditions for zero flux are discussed in the context of a {\it clogging phase diagram} of flow state vs tilt angle and ratio of hole to grain size.

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