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Granular discharge and clogging for tilted hoppers

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Abstract

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 clogging phase diagram of flow state vs tilt angle and ratio of hole to grain size.

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Authors and Affiliations

  1. Department of Physics and Astronomy, University of Pennsylvania, 209 South 33rd Street, Philadelphia, PA, 19104-6396, USA

    Hannah G. Sheldon & Douglas J. Durian

Authors
  1. Hannah G. Sheldon
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  2. Douglas J. Durian
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Correspondence to Douglas J. Durian.

Additional information

This work was supported by the National Science Foundation through grant DMR-0704147 and by the University of Pennsylvania through its work-study program for undergraduate students.

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Sheldon, H.G., Durian, D.J. Granular discharge and clogging for tilted hoppers. Granular Matter 12, 579–585 (2010). https://doi.org/10.1007/s10035-010-0198-3

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