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受限颗粒流的缓慢动力学与老化

Slow dynamics and aging of a confined granular flow.

作者信息

Ovarlez G, Clément E

机构信息

Laboratoire des Milieux Désordonnés et Hétérogènes, UMR 7603, Université Pierre et Marie Curie, Boîte 86, 4 Place Jussieu, F-75252 Paris, France.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Sep;68(3 Pt 1):031302. doi: 10.1103/PhysRevE.68.031302. Epub 2003 Sep 3.

Abstract

We present experimental results on slow flow properties of a granular assembly confined in a vertical column and driven upwards at a constant velocity V. The wall roughness is much lower than the typical grain size. For monodisperse assemblies this study evidences at low velocities (1<V<100 microm/s) a stiffening behavior, i.e., the stress necessary to obtain a steady-state velocity increases roughly logarithmically with velocity. On the other hand, at very low driving velocity (V<1 microm/s), we evidence a discontinuous and hysteretic transition to a stick-slip regime characterized by a strong divergence of the maximal blockage force when the velocity goes to zero. We show that all this phenomenology is strongly influenced by surrounding humidity. We also present an attempt to establish a link between the granular rheology and the solid friction forces between the wall and the grains. We base our discussions on a simple theoretical model and independent grain/wall tribology measurements. We also use finite element numerical simulations to compare experimental results with isotropic elasticity. A second system made of polydisperse assemblies of glass beads is investigated. We emphasize the onset of a new dynamical behavior, i.e., the large distribution of blockage forces evidenced in the stick-slip regime.

摘要

我们展示了关于限制在垂直柱体中并以恒定速度V向上驱动的颗粒集合体缓慢流动特性的实验结果。壁面粗糙度远低于典型颗粒尺寸。对于单分散集合体,本研究表明在低速度(1<V<100微米/秒)下存在硬化行为,即获得稳态速度所需的应力随速度大致呈对数增加。另一方面,在极低驱动速度(V<1微米/秒)下,我们证明了向粘滑状态的不连续且滞后的转变,其特征是当速度趋于零时最大阻塞力强烈发散。我们表明所有这些现象都受到周围湿度的强烈影响。我们还尝试在颗粒流变学与壁面和颗粒之间的固体摩擦力之间建立联系。我们基于一个简单的理论模型和独立的颗粒/壁面摩擦学测量进行讨论。我们还使用有限元数值模拟将实验结果与各向同性弹性进行比较。研究了由玻璃珠多分散集合体制成的第二个系统。我们强调了一种新的动力学行为的出现,即在粘滑状态下阻塞力的大分布。

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