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arXiv 0901.0171cond-mat.soft
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软动力学仿真:2.在viscous fluid中经历T1工艺的弹性球

Soft Dynamics simulation: 2. Elastic spheres undergoing a T1 process in a viscous fluid

Pierre Rognon, Cyprien Gay

摘要:

基于单颗粒动力学的时间尺度,已将颗粒材料在空气或粘性流体中的鲁棒经验本构律表达为时间尺度。然而,一些行为,如粘度分叉或剪切局部化,也观察到在泡沫,乳液和嵌段共聚物立方相,似乎涉及其他微观时间尺度,这可能是有关的局部颗粒重组的动力学。在目前的工作中,我们考虑T1过程作为重排的一个例子。本文利用本系列第一篇文章中介绍的软动力学模拟方法,从理论和数值上描述了四个弹性球体在粘性流体中的运动。流体动力学的相互作用被描述在润滑水平(Poiffille挤压和Couette剪切流)和颗粒表面的弹性偏转被建模为赫兹。模拟的T1过程的持续时间可能会因初始分离的微小变化而发生很大变化,这与预测一致。第一次,集体行为,从而发现依赖于另一个参数比典型的体积分数的颗粒。

英文摘要:

Robust empirical constitutive laws for granular materials in air or in a viscous fluid have been expressed in terms of timescales based on the dynamics of a single particle. However, some behaviours such as viscosity bifurcation or shear localization, observed also in foams, emulsions, and block copolymer cubic phases, seem to involve other micro-timescales which may be related to the dynamics of local particle reorganizations. In the present work, we consider a T1 process as an example of a rearrangement. Using the Soft dynamics simulation method introduced in the first paper of this series, we describe theoretically and numerically the motion of four elastic spheres in a viscous fluid. Hydrodynamic interactions are described at the level of lubrication (Poiseuille squeezing and Couette shear flow) and the elastic deflection of the particle surface is modeled as Hertzian. The duration of the simulated T1 process can vary substantially as a consequence of minute changes in the initial separations, consistently with predictions. For the first time, a collective behaviour is thus found to depend on another parameter than the typical volume fraction in particles.

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