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

doi:10.1007/s10483-014-1886-6

Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (12): 1565-1572.doi: https://doi.org/10.1007/s10483-014-1886-6

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

胡茂彬, 刘启一, 孙王平, 姜锐, 吴清松

School of Engineering Science, University of Science and Technology of China, Hefei 230026, P. R. China

收稿日期:2014-01-16 修回日期:2014-05-21 出版日期:2014-12-01 发布日期:2014-12-01
通讯作者: Mao-bin HU, Associate Professor, Ph.D., E-mail: humaobin@ustc.edu.cn E-mail:humaobin@ustc.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos.11034010 and 71171185)

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

Mao-bin HU, Qi-yi LIU, Wang-ping SUN, Rui JIANG, Qing-song WU

School of Engineering Science, University of Science and Technology of China, Hefei 230026, P. R. China

Received:2014-01-16 Revised:2014-05-21 Online:2014-12-01 Published:2014-12-01
Supported by:
Project supported by the National Natural Science Foundation of China (Nos.11034010 and 71171185)

摘要/Abstract

摘要： The effects of packing configurations on the phase transition of straight granular chute flow with two bottlenecks are studied. The granular flow shows a diluteto-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.

关键词: phase transition, bistable phenomenon, complex network, granular flow

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 diluteto-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

中图分类号:

O369

胡茂彬;刘启一;孙王平;姜锐;吴清松. Packing induced bistable phenomenon in granular flow: analysis from complex network perspective[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(12): 1565-1572.

Mao-bin HU;Qi-yi LIU;Wang-ping SUN;Rui JIANG;Qing-song WU. Packing induced bistable phenomenon in granular flow: analysis from complex network perspective[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(12): 1565-1572.

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

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

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