论文标题
不均匀颗粒状剪切流的自扩散
Self-diffusion in inhomogeneous granular shearing flows
论文作者
论文摘要
在这封信中,我们讨论流动不均匀性如何影响颗粒流中的自扩散行为。虽然过去的自扩散量表已经很好地表征了均匀的剪切,但尚未研究剪切定位和流动非定位性的效果。因此,我们在离散的数值模拟中对自扩散系数的测量进行了测量。我们专注于广泛的密集的固体体积分数,这些分数对应于由碰撞相互作用主导的地球物理和工业剪切流。我们首先将测量值与基于剪切速率的缩放进行比较,然后根据颗粒温度的缩放率进行比较。我们发现后者在崩溃数据时的表现要比前者要好得多。结果为不均匀剪切流的扩散模型的基础是对处理混合和隔离问题的有用的。
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.