Tapia-McClung Horacio, Zenit Roberto
Instituto de Investigaciones en Materiales, Universidad Nacional Autónoma de México, Apdo. Postal 70-360, Ciudad Universitaria, Coyoacán D.F. 04510, México.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Jun;85(6 Pt 1):061304. doi: 10.1103/PhysRevE.85.061304. Epub 2012 Jun 7.
A numerical investigation of the collapse of granular columns has been conducted. In particular, we address the effect of the grain shape on the properties of the collapse. We show that the final runout and height of the deposits scale as a power law of the initial aspect ratio of the column, a, independently of the elongation of the grains used. We describe this process in terms of an energy balance, and construct an "inertial number" that can be used to describe the flow in terms of a recently proposed granular rheology. We argue that an effective friction that results from this dimensionless quantity explains why the shape of the grains is irrelevant for the final properties of the collapse.
对颗粒柱坍塌进行了数值研究。特别地,我们研究了颗粒形状对坍塌特性的影响。我们表明,沉积物的最终滑行距离和高度与柱体初始纵横比a呈幂律关系,与所用颗粒的伸长率无关。我们根据能量平衡来描述这一过程,并构建了一个“惯性数”,该惯性数可用于根据最近提出的颗粒流变学来描述流动。我们认为,由这个无量纲量产生的有效摩擦力解释了为什么颗粒形状与坍塌的最终特性无关。