Azéma Emilien, Descantes Yannick, Roquet Nicolas, Roux Jean-Noël, Chevoir François
UNAM, IFSTTAR, Route de Bouaye, CS4, 44344 Bouguenais Cedex, France.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Sep;86(3 Pt 1):031303. doi: 10.1103/PhysRevE.86.031303. Epub 2012 Sep 20.
The influence of grain angularity on the properties of dense flows down a rough inclined plane are investigated. Three-dimensional numerical simulations using the nonsmooth contact dynamics method are carried out with both spherical (rounded) and polyhedral (angular) grain assemblies. Both sphere and polyhedra assemblies abide by the flow start and stop laws, although much higher tilt angle values are required to trigger polyhedral grain flow. In the dense permanent flow regime, both systems show similarities in the bulk of the material (away from the top free surface and the substrate), such as uniform values of the solid fraction, inertial number and coordination number, or linear dependency of the solid fraction and effective friction coefficient with the inertial number. However, discrepancies are also observed between spherical and polyhedral particle flows. A dead (or nearly arrested) zone appears in polyhedral grain flows close to the rough bottom surface, reflected by locally concave velocity profiles, locally larger coordination number and solid fraction values, smaller inertial number values. This dead zone disappears for smooth bottom surfaces. In addition, unlike sphere assemblies, polyhedral grain assemblies exhibit significant normal stress differences, which increase close to the substrate.
研究了颗粒棱角对粗糙倾斜平面上密集流特性的影响。采用非光滑接触动力学方法对球形(圆形)和多面体(有棱角)颗粒集合体进行了三维数值模拟。球形和多面体颗粒集合体均遵循流动起始和停止规律,尽管触发多面体颗粒流动需要更高的倾斜角度值。在密集永久流动状态下,两个系统在材料主体部分(远离顶部自由表面和基底)表现出相似性,如固体分数、惯性数和配位数的均匀值,或固体分数和有效摩擦系数与惯性数的线性相关性。然而,球形和多面体颗粒流之间也存在差异。在靠近粗糙底面的多面体颗粒流中出现一个停滞(或几乎停滞)区域,表现为局部凹形速度剖面、局部较大的配位数和固体分数值以及较小的惯性数值。对于光滑底面,这个停滞区域消失。此外,与球形颗粒集合体不同,多面体颗粒集合体表现出显著的法向应力差异,且在靠近基底处增大。