THE PATHOLOGICAL BEHAVIOUR OF SHEARED HARD SPHERES WITH HYDRODYNAMIC INTERACTIONS
THE PATHOLOGICAL BEHAVIOUR OF SHEARED HARD SPHERES WITH HYDRODYNAMIC INTERACTIONS
复制标题
剪切硬球与流体动力学相互作用的病理行为
DOI：
10.1209/0295-5075/32/6/013
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发表时间：
1995
期刊：
影响因子：
1.8
通讯作者：
R. Ball
中科院分区：
文献类型：
--
作者：
J. Melrose;R. Ball
我们给出了数值证据，证明仅具有水动力相互作用的剪切浓缩硬球的理想模型不能达到稳态。随着应变从静止状态增加，直至问题在数值上变得难以解决，颗粒之间的间隙分布会逐渐减小。雷诺润滑相互作用的情况在更一般的模型族中是边缘的，其中粘性相互作用作为逆粒子间间隙的幂律发散。非平衡硬球模型代表了真实胶体的极限病理学。
We present numerical evidence that the ideal model of sheared concentrated hard spheres with just hydrodynamic interactions does not reach a steady state. The distribution of gaps between particles collapses to ever smaller values as strain is increased from rest until the problem becomes numerically intractable. The case of the Reynolds lubrication interaction is marginal in a more general family of models in which viscous interactions diverge as a power law of the inverse interparticle gap. The non-equilibrium hard-sphere model represents a limiting pathology for real colloids.