Stability of clogging arches in a silo submitted to vertical vibrations.

We present experimental results on the endurance of arches that block the outlet of a two-dimensional silo when subjected to vertical vibration. In a recent paper [C. Lozano et al., Phys. Rev. Lett. 109, 068001 (2012)], it was shown that the arch resistance against vibrations is determined by the maximum angle among those formed between each particle in the bridge and its two neighbors: the larger the maximum angle is, the weaker the bridge. It has also been reported that the breaking time distribution shows a power-law tail with an exponent that depends on the outlet size, the vibration intensity, and the load [I. Zuriguel et al., Sci. Rep. 4, 7324 (2014)]. Here we connect these previous works, demonstrating the importance of the maximum angle in the arch on the exponent of the breaking time distribution. Besides, we find that the acceleration needed to break an arch does not depend on the ramp rate of the applied acceleration, but it does depend on the outlet size above which the arch is formed. We also show that high frequencies of vibration reveal a change in the behavior of the arches that endure very long times. These arches have been identified as a subset with special geometrical features. Therefore, arches that cannot be broken by means of a given external excitation might exist.

[1]  Pak,et al.  Jamming of Granular Flow in a Two-Dimensional Hopper. , 2001, Physical review letters.

[2]  On-and-off dynamics of a creeping frictional system , 2014, The European physical journal. E, Soft matter.

[3]  Angel Garcimartín,et al.  Role of vibrations in the jamming and unjamming of grains discharging from a silo. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  I Zuriguel,et al.  Flow and clogging of a sheep herd passing through a bottleneck. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  Mukul M. Sharma,et al.  Role of flying buttresses in the jamming of granular matter through multiple rectangular outlets , 2014 .

[6]  Andreas Schadschneider,et al.  Critical bottleneck size for jamless particle flows in two dimensions. , 2014, Physical review letters.

[7]  Angel Garcimartín,et al.  Jamming during the discharge of granular matter from a silo. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  Daniel R. Parisi,et al.  “Faster Is Slower” Effect in Granular Flows , 2013 .

[9]  Angel Garcimartín,et al.  Silo clogging reduction by the presence of an obstacle. , 2011, Physical review letters.

[10]  Angel Garcimartín,et al.  Jamming during the discharge of grains from a silo described as a percolating transition. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  É. Clément,et al.  Unjamming a granular hopper by vibration , 2009, 0907.0114.

[12]  D. Durian,et al.  Geometry dependence of the clogging transition in tilted hoppers. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  Summer N. Saraf,et al.  Power-law flow statistics in anisometric (wedge) hoppers. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  Anita Mehta,et al.  Spatial, dynamical and spatiotemporal heterogeneities in granular media , 2010 .

[15]  Julio R. Valdes,et al.  Clogging: bridge formation and vibration-based destabilization , 2008 .

[16]  Phillip G. Armour.  When faster is slower , 2013, Commun. ACM.

[17]  R P Behringer,et al.  How granular materials jam in a hopper. , 2011, Chaos.

[18]  Angel Garcimartín,et al.  Shape of jamming arches in two-dimensional deposits of granular materials. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[19]  I. Zuriguel,et al.  Force analysis of clogging arches in a silo , 2013 .

[20]  M. A. Aguirre,et al.  Evolution of pressure profiles during the discharge of a silo. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  Mark E. J. Newman,et al.  Power-Law Distributions in Empirical Data , 2007, SIAM Rev..

[22]  Angel Garcimartín,et al.  Breaking arches with vibrations: the role of defects. , 2012, Physical review letters.

[23]  D J Durian,et al.  Fraction of clogging configurations sampled by granular hopper flow. , 2014, Physical review letters.

[24]  K. To.  Jamming transition in two-dimensional hoppers and silos. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  Ignacio Pagonabarraga,et al.  Clogging transition of many-particle systems flowing through bottlenecks , 2014, Scientific Reports.

[26]  M. Cates,et al.  Jamming, Force Chains, and Fragile Matter , 1998, cond-mat/9803197.

[27]  E. Eisenberg,et al.  Jamming , 1990, Encyclopedia of Wireless Networks.