Applied Mathematics and Mechanics

, Volume 35, Issue 12, pp 1565–1572 | Cite as

Packing induced bistable phenomenon in granular flow: analysis from complex network perspective

  • Mao-bin Hu (胡茂彬)
  • Qi-yi Liu (刘启一)
  • Wang-ping Sun (孙王平)
  • Rui Jiang (姜 锐)
  • Qing-song Wu (吴清松)
Article
First Online:
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Revised:

Abstract

The effects of packing configurations on the phase transition of straight granular chute flow with two bottlenecks are studied. The granular flow shows a dilute-to-dense flow transition when the channel width is varied, accompanied with a peculiar bistable phenomenon. The bistable phenomenon is induced by the initial packing configuration of particles. When the packing is dense, the initial flux is small and will induce a dense flow. When the packing is loose, the initial flux is large and will induce a dilute flow. The fabric network of granular packing is analyzed from a complex network perspective. The degree distribution shows quantitatively different characteristics for the configurations. A two-dimensional (2D) packing clustering coefficient is defined to better quantify the fabric network.

Key words

granular flow complex network phase transition bistable phenomenon 

Chinese Library Classification

O369 

2010 Mathematics Subject Classification

76T25 76E30 
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Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Mao-bin Hu (胡茂彬)
    • 1
  • Qi-yi Liu (刘启一)
    • 1
  • Wang-ping Sun (孙王平)
    • 1
  • Rui Jiang (姜 锐)
    • 1
  • Qing-song Wu (吴清松)
    • 1
  1. 1.School of Engineering ScienceUniversity of Science and Technology of ChinaHefeiP. R. China

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