A brief review of (multi-scale) modelling approaches to segregation

EPJ Web of Conferences ◽

10.1051/epjconf/202124901004 ◽

2021 ◽

Vol 249 ◽

pp. 01004

Author(s):

Anthony Thornton

Keyword(s):

Natural Environment ◽

Granular Flows ◽

Large Problem ◽

Multi Scale ◽

Advection Diffusion ◽

Open Questions ◽

Scale Modelling ◽

Dense Granular Flows ◽

Modelling Approaches

Segregation in dense granular flows is a large problem in many areas of industry and the natural environment. In the last few years an advection-diffusion style framework has been shown to capture segregation in many geometries. Here, we review the different ways such a framework has been obtained by different authors, compare the forms and make recommendations for the best form to use. Finally, we briefly outline some of the remaining open-questions.

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Simulating longitudinal ventilation flows in long tunnels: Comparison of full CFD and multi-scale modelling approaches in FDS6

Tunnelling and Underground Space Technology ◽

10.1016/j.tust.2015.11.003 ◽

2016 ◽

Vol 52 ◽

pp. 119-126 ◽

Cited By ~ 29

Author(s):

Chin Ding (Edmund) Ang ◽

Guillermo Rein ◽

Joaquim Peiro ◽

Roger Harrison

Keyword(s):

Multi Scale ◽

Longitudinal Ventilation ◽

Scale Modelling ◽

Modelling Approaches

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Modeling Segregation in Granular Flows

Annual Review of Chemical and Biomolecular Engineering ◽

10.1146/annurev-chembioeng-060718-030122 ◽

2019 ◽

Vol 10 (1) ◽

pp. 129-153 ◽

Cited By ~ 16

Author(s):

Paul B. Umbanhowar ◽

Richard M. Lueptow ◽

Julio M. Ottino

Keyword(s):

Computer Simulations ◽

Granular Flow ◽

Granular Flows ◽

Continuum Models ◽

Large Space ◽

Driving Mechanisms ◽

Advection Diffusion ◽

Parametric Studies ◽

Discrete Element Methods ◽

Dense Granular Flows

Accurate continuum models of flow and segregation of dense granular flows are now possible. This is the result of extensive comparisons, over the last several years, of computer simulations of increasing accuracy and scale, experiments, and continuum models, in a variety of flows and for a variety of mixtures. Computer simulations—discrete element methods (DEM)—yield remarkably detailed views of granular flow and segregation. Conti-nuum models, however, offer the best possibility for parametric studies of outcomes in what could be a prohibitively large space resulting from the competition between three distinct driving mechanisms: advection, diffusion, and segregation. We present a continuum transport equation–based framework, informed by phenomenological constitutive equations, that accurately predicts segregation in many settings, both industrial and natural. Three-way comparisons among experiments, DEM, and theory are offered wherever possible to validate the approach. In addition to the flows and mixtures described here, many straightforward extensions of the framework appear possible.

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Self-diffusion scalings in dense granular flows

Soft Matter ◽

10.1039/d0sm01846e ◽

2021 ◽

Author(s):

Riccardo Artoni ◽

Michele Larcher ◽

James T. Jenkins ◽

Patrick Richard

Keyword(s):

Shear Rate ◽

Solid Fraction ◽

Granular Flows ◽

The Self ◽

Granular Temperature ◽

Restitution Coefficient ◽

Self Diffusion ◽

Diffusivity Tensor ◽

Dense Granular Flows

The self-diffusivity tensor in homogeneously sheared dense granular flows is anisotropic. We show how its components depend on solid fraction, restitution coefficient, shear rate, and granular temperature.

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