斜面颗粒流非bagnold过渡时力链网络的增长及其离散元模拟

IF 1.5 4区 工程技术 Q3 MECHANICS
Cheng-Ting Tsai, Chih-Ying Cheng, F-L Yang
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引用次数: 0

摘要

摘要沿倾斜表面的稳定颗粒流是研究干颗粒流动力学的重要流态。本文采用二维离散元模拟的方法,研究了除了基于碰撞的动量输运之外,晶粒间摩擦如何在动量输运中发挥作用,从而诱发文献中报道的非bagnold流速分布。利用图论和鲁万贪心算法,应用网络科学的知识,从粒子动力学信息中识别接触力链网络。我们研究了当流动比例速度分布从Bagnold流退化到非Bagnold流时,力链网络中出生的晶粒数量是如何增长的。同时,当流动弗劳德数大致低于2.15时,在非bagnold流动过渡阶段,这些摩擦触点所携带的应力加载比急剧上升。这两种现象都表明,当足够的晶粒被限制在力链网络中以辅助应力传递,取代碰撞传递时,就会发生非局部的Bagnold速度剖面退化现象。因此,未来需要一个精细的流变模型来解释这种摩擦辅助动量输运,在介观上,但与流动相关的长度尺度,就像目前研究的力网络一样。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Growth of force chain network upon non-Bagnold Transition of Inclined Surface Granular Flows via Discrete Element Simulation
Abstract A steady granular flow down an inclined surface is an important flow configuration to study the dynamic of dry granular flow. This work adopts two-dimensional discrete element simulation to study how inter-grain friction may play a role in momentum transport, in addition to the collision-based transport, to induce the non-Bagnold flow velocity profile reported in the literature. Special efforts were made to apply the knowledge of network science to identify the contact force chain network from particle dynamics information using the graph theory with the Louvain greedy algorithm. We studied how the number of grains born in the force chain network grows when the flow scaled velocity profile degrades from Bagnold to non-Bagnold flows. Concurrently, the stress loading ratio carried by these frictional contacts rises abruptly upon the non-Bagnold flow transition identifies when the flow Froude number falls roughly below 2.15. Both phenomena suggest that the non-local phenomenon of Bagnold velocity profile degradation occurs when sufficient grains are confined in the force chain network to assist the stress transport, replacing the collisional transport. Hence, a refined rheology model is needed in the future to account for this friction-assisted momentum transport at a mesoscopic yet flow-dependent length scale like that of the currently investigated force network.
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来源期刊
Journal of Mechanics
Journal of Mechanics 物理-力学
CiteScore
3.20
自引率
11.80%
发文量
20
审稿时长
6 months
期刊介绍: The objective of the Journal of Mechanics is to provide an international forum to foster exchange of ideas among mechanics communities in different parts of world. The Journal of Mechanics publishes original research in all fields of theoretical and applied mechanics. The Journal especially welcomes papers that are related to recent technological advances. The contributions, which may be analytical, experimental or numerical, should be of significance to the progress of mechanics. Papers which are merely illustrations of established principles and procedures will generally not be accepted. Reports that are of technical interest are published as short articles. Review articles are published only by invitation.
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