论文标题

粘性颗粒流的粘度

Viscosity of Cohesive Granular Flows

论文作者

Macaulay, Matthew, Rognon, Pierre

论文摘要

湿砂,雪和粉末等有粘性的颗粒材料可以像粘性液体一样流动。然而,这种Athermal颗粒流体中动量转运的基本机制是难以捉摸的。结果,现有的粘性颗粒粘度模型仍然是现象学和辩论。在这里,我们使用平面剪切流的离散元件模拟来测量粘性颗粒材料的粘度,同时调整粒子粘附的强度。我们确定两个与粘附有关的无量纲数控制了它们的粘度。这些数字比较了与流动中特征应力和动能分解键所需的力和能量。这是一种普遍接受的观点,即只有一个无量纲的数字可以控制粘附的效果。由此产生的缩放定律捕获了粘度的强烈,非牛顿的变化,从而统一了几种现有的粘度模型。然后,我们将这些变化的粘度直接连接到流程微结构和接触网络中的粘附诱导的修饰。该分析揭示了动量转运的两种模式,涉及晶粒微型加速或平衡的接触力,并且表明粘附只会影响更晚的。这可以提高我们对颗粒材料和其他软材料(例如乳液和悬浮液)的流变学模型的理解,这也可能涉及颗粒间粘合力。

Cohesive granular materials such as wet sand, snow, and powders can flow like a viscous liquid. However, the elementary mechanisms of momentum transport in such athermal particulate fluids are elusive. As a result, existing models for cohesive granular viscosity remain phenomenological and debated. Here we use discrete element simulations of plane shear flows to measure the viscosity of cohesive granular materials, while tuning the intensity of inter-particle adhesion. We establish that two adhesion-related, dimensionless numbers control their viscosity. These numbers compare the force and energy required to break a bond to the characteristic stress and kinetic energy in the flow. This progresses the commonly accepted view that only one dimensionless number could control the effect of adhesion. The resulting scaling law captures strong, non-Newtonian variations in viscosity, unifying several existing viscosity models. We then directly link these variations in viscosity to adhesion-induced modifications in the flow micro-structure and contact network. This analysis reveals the existence of two modes of momentum transport, involving either grain micro-acceleration or balanced contact forces, and shows that adhesion only affects the later. This advances our understanding of rheological models for granular materials and other soft materials such as emulsions and suspensions, which may also involve inter-particle adhesive forces.

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