Abstract

Abstract

Highlights

  • Shallow granular free-surface flows are one of the most common particle transport mechanisms in industrial bulk solids handling processes

  • The shear box apparatus is shown in figure 2(a). It consists of two polyvinyl chloride (PVC) rough lateral side plates that are able to pivot about two transverse steel rods, that are located at their centres and bolted to glass panes at the front and back of the shear box

  • For a monodisperse system in the absence of gravity, only the first three non-dimensional variables in (4.1a–f ) are relevant, and (4.2) reduces to the monodisperse particle diameter. It was this type of dimensional analysis combined with observations from discrete particle model (DPM) simulations and experiments that led to the development of the incompressible μ(I)-rheology (GDR-MiDi 2004; Jop et al 2006), which has advanced our understanding of the rheology of monodisperse granular flows

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Summary

Introduction

Shallow granular free-surface flows (or granular avalanches) are one of the most common particle transport mechanisms in industrial bulk solids handling processes. A single small intruder will percolate down through a matrix of large grains much faster than a single large intruder will rise up through a matrix of fines This suggests that the segregation flux function is not quadratic, but has a more cubic-like dependence on the small particle concentration (Bridgwater et al 1985; Gajjar & Gray 2014; van der Vaart et al 2015; Jones et al 2018).

Governing equations
Segregation fluxes and velocities
Experimental apparatus
Experimental data sets
Preliminary interpretation of the data
Fundamental observations and resulting hypothesis
Effect of the interstitial fluid
Intruder trajectories
The role of particle diffusion
Large intruder experiments
Variable shear rate for the large intruders
Variable size ratio for the large intruders
Collapse of all the large intruder experiments
Small intruder experiments
Variable shear rate for the small intruders
Collapse of all the small intruder experiments
Summary of the equations and coefficients
Non-dimensionalization and numerical method
Asymmetric segregation flux functions
Large and small particle segregation velocities
Properties of the steady-state solution
Conclusions
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