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arXiv 1808.01871cond-mat.soft
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非局部颗粒流中的剪切诱导扩散

Shear-induced diffusion in non-local granular flows

Prashidha Kharel, Pierre Rognon

摘要:

研究了具有应力梯度和惯性数梯度的非均匀稠密颗粒流的自扩散特性。这项研究是基于模拟平面剪切与重力和Poiffille流,其中非局部效应诱导一些蠕变流应力低于屈服区。结果表明,剪切诱导扩散是定性不同的区域以上和以下的屈服。低于产量,扩散率不再受速度波动,我们证明了扩散率和局部剪切速率之间的直接缩放。这是解释通过分析晶粒轨迹,表现出一个笼子里的动态发展低于产量的区域。最后,我们引入了一个明确的缩放的本地惯性数在这些区域中的配置文件,这导致一个简单的表达的扩散率作为一个函数的应力和位置在非本地流。

英文摘要:

We investigate the properties of self-diffusion in heterogeneous dense granular flows involving a gradient of stress and inertial number. The study is based on simulated plane shear with gravity and Poiseuille flows, in which non-local effects induce some creep flow in zones where stresses are below the yield. Results show that shear-induced diffusion is qualitatively different in zones above and below the yield. Below the yield, diffusivity is no longer governed by velocity fluctuations, and we evidenced a direct scaling between diffusivity and local shear rate. This is interpreted by analysing the grain trajectories, which exhibit a caging dynamics developing in zones below the yield. We finally introduce an explicit scaling for the profile of local inertial number in these zones, which leads to a straightforward expression of the diffusivity as a function of the stress and position in non-local flows.

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