Self-Diffusion Scalings in Dense Granular Flows
arXiv:2103.16838 · doi:10.1039/D0SM01846E
Abstract
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.
Published in Soft Matterhttps://pubs.rsc.org/en/content/articlelanding/2021/sm/d0sm01846e\#!divAbstract
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- Coupled continuum modeling of size-segregation driven by shear-strain-rate gradients and flow in dense, bidisperse granular media
- Exploring particle dynamics in flowing complex fluids using differential dynamic microscopy
- Self-diffusion in inhomogeneous granular shearing flows
- Rheology of a dilute binary mixture of inertial suspension under simple shear flow