Shear-Rate-Independent Diffusion in Granular Flows

Physical Review Letters
Yi FanRichard M Lueptow

Abstract

We computationally study the behavior of the diffusion coefficient D in granular flows of monodisperse and bidisperse particles spanning regions of relatively high and low shear rate in open and closed laterally confined heaps. Measurements of D at various flow rates, streamwise positions, and depths collapse onto a single curve when plotted as a function of γd2, where d is the local mean particle diameter and γ is the local shear rate. When γ is large, D is proportional to γd2, as in previous studies. However, for γd2 below a critical value, D is independent of γd2. The acceleration due to gravity g and particle stiffness (or, equivalently, the binary collision time t(c)) together determine the transition in D between regimes. This suggests that while shear rate and particle size determine diffusion at relatively high shear rates in surface-driven flows, diffusion at low shear rates is an elastic phenomenon with time and length scales dependent on gravity (sqrt d/g) and particle stiffness (t(c)sqrt(dg), respectively.

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Citations

Jan 20, 2018·Physical Review. E·Hongyi XiaoPaul B Umbanhowar
Sep 27, 2018·Physical Review. E·Mengying Wang, Ivan C Christov
Dec 9, 2017·Physical Review Letters·Prashidha Kharel, Pierre Rognon
Jul 18, 2018·Physical Review. E·Alexander M FryRichard M Lueptow
Mar 19, 2019·Annual Review of Chemical and Biomolecular Engineering·Paul B UmbanhowarJulio M Ottino
Apr 18, 2018·Proceedings. Mathematical, Physical, and Engineering Sciences·Zhekai DengRichard M Lueptow
Nov 10, 2017·Nature Communications·Behrooz FerdowsiDouglas J Jerolmack
Apr 20, 2019·Physical Review. E·Ruihuan CaiYongzhi Zhao

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