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arXiv 2103.16838cond-mat.soft
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稠密颗粒流中的自扩散标度

Self-Diffusion Scalings in Dense Granular Flows

Riccardo Artoni, Michele Larcher, James Jenkins, Patrick Richard

摘要:

我们报告的测量自扩散系数的离散数值模拟的稳定,均匀,碰撞剪切流几乎相同的,摩擦,非弹性球。我们专注于一系列相对较高的固体体积分数,是重要的,在这些陆地重力剪切流,主要是碰撞相互作用。在此范围内的固体分数的扩散还没有得到很好的特点,在以前的研究。首先,我们比较了测量值与经验缩放的基础上剪切速率先前提出的文献中,并强调存在的各向异性和固体分数的依赖性。然后,我们将数值测量与非弹性球体剪切流的动力学理论预测的数值测量进行比较,并解释了为什么测量值和预测值不同。

英文摘要:

We report on measurements of self-diffusion coefficients in discrete numerical simulations of steady, homogeneous, collisional shearing flows of nearly identical, frictional, inelastic spheres. We focus on a range of relatively high solid volume fractions that are important in those terrestrial gravitational shearing flows that are dominated by collisional interactions. Diffusion over this range of solid fraction has not been well characterized in previous studies. We first compare the measured values with an empirical scaling based on shear rate previously proposed in the literature, and highlight the presence of anisotropy and the solid fraction dependence. We then compare the numerical measurements with those predicted by the kinetic theory for shearing flows of inelastic spheres and offer an explanation for why the measured and predicted values differ.

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