论文标题

$μ$(i)倾斜飞机上颗粒状流的流变学的微观基础

Microscopic foundation of the $μ$(I) rheology for dense granular flows on inclined planes

论文作者

Dumont, Denis, Bonneau, Haggai, Salez, Thomas, Raphael, Elie, Damman, Pascal

论文摘要

流向倾斜平面的密集颗粒层的宏观和显微镜特性是从无摩擦和摩擦晶粒的离散元素方法模拟中获得的。 回收了密集颗粒流的三个基本观察结果,即临界应力的发生,巴格诺速度的特征以及定义明确的摩擦和膨胀定律。晶粒运动的微观方面突出了瞬态簇的形成。从这种微观图片中,我们得出了一个理论上的缩放模型,而没有任何经验输入,该模型在倾斜平面和剪切几何形状中定量解释了密集颗粒流的基本定律。模型和观察到的结果之间的充分性表明,可以将颗粒流视为来自硬球热流体的流。

Macroscopic and microscopic properties of dense granular layers flowing down inclined planes are obtained from Discrete-Element-Method simulations for both frictionless and frictional grains. Three fundamental observations for dense granular flows are recovered, namely the occurrence of a critical stress, the Bagnold velocity profile, as well as well-defined friction and dilatancy laws. The microscopic aspects of the grain motion highlight the formation of transient clusters. From this microscopic picture, we derive a theoretical scaling model without any empirical input that explains quantitatively the fundamental laws of dense granular flows in incline plane and shear geometries. The adequacy between the model and the observed results suggests that granular flows can be viewed as flows from thermal fluids of hard spheres.

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