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arXiv 2209.11540cond-mat.soft
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非均匀颗粒剪切流中的自扩散

Self-diffusion in inhomogeneous granular shearing flows

Riccardo Artoni, Michele Larcher, James Jenkins, Patrick Richard

摘要:

在这封信中,我们讨论了流动的不均匀性如何影响颗粒流的自扩散行为。而自扩散缩放已被很好地表征在过去的均匀剪切,剪切局部化和非局部性的流动的影响还没有被研究。因此,我们目前的测量自扩散系数的离散数值模拟的稳定,不均匀,碰撞剪切流几乎相同的,摩擦,非弹性球。我们专注于大范围的致密固体体积分数,对应于地球物理和工业剪切流的碰撞相互作用占主导地位。我们首先比较测量值,与基于剪切速率的缩放,然后,基于颗粒温度的缩放。我们发现,后者在折叠数据方面比前者做得更好。研究结果为非均匀剪切流扩散模型的建立奠定了基础,对处理混合和分离问题具有一定的参考价值。

英文摘要:

In this letter, we discuss how flow inhomogeneity affects the self-diffusion behavior in granular flows. Whereas self-diffusion scalings have been well characterized in the past for homogeneous shearing, the effect of shear localization and nonlocality of the flow has not been studied. We therefore present measurements of self-diffusion coefficients in discrete numerical simulations of steady, inhomogeneous, and collisional shearing flows of nearly identical, frictional, and inelastic spheres. We focus on a wide range of dense solid volume fractions, that correspond to geophysical and industrial shearing flows that are dominated by collisional interactions. We compare the measured values first, with a scaling based on shear rate and, then, on a scaling based on the granular temperature. We find that the latter does much better than the former in collapsing the data. The results lay the foundations of diffusion models for inhomogeneous shearing flows, which should be useful in treating problems of mixing and segregation.

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