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Simple Shear Flow of Collisional Granular-Fluid Mixtures

Berzi, D.

This work deals with the simple shear flow of neutrally buoyant, rigid, frictionless spheres immersed in a viscous fluid that exchange momentum through inelastic collisions. It is shown how kinetic theories are able to provide a full analytical description of the flow, once the influence of the viscous fluid is taken into account in a simple way through the dependence of the collisional coefficient of restitution on the Stokes number. This allows the capture of the characteristics of the experiments performed by Bagnold 60 years ago and the interpretation of the macroviscous and inertial regimes described by the same author as the limits for the coefficient of restitution equal to zero and to the value valid in absence of the viscous fluid, respectively.

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Simple Shear Flow of Collisional Granular-Fluid Mixtures

Berzi, D.

This work deals with the simple shear flow of neutrally buoyant, rigid, frictionless spheres immersed in a viscous fluid that exchange momentum through inelastic collisions. It is shown how kinetic theories are able to provide a full analytical description of the flow, once the influence of the viscous fluid is taken into account in a simple way through the dependence of the collisional coefficient of restitution on the Stokes number. This allows the capture of the characteristics of the experiments performed by Bagnold 60 years ago and the interpretation of the macroviscous and inertial regimes described by the same author as the limits for the coefficient of restitution equal to zero and to the value valid in absence of the viscous fluid, respectively.

Simple Shear Flow of Collisional Granular-Fluid Mixtures

Berzi, D.

This work deals with the simple shear flow of neutrally buoyant, rigid, frictionless spheres immersed in a viscous fluid that exchange momentum through inelastic collisions. It is shown how kinetic theories are able to provide a full analytical description of the flow, once the influence of the viscous fluid is taken into account in a simple way through the dependence of the collisional coefficient of restitution on the Stokes number. This allows the capture of the characteristics of the experiments performed by Bagnold 60 years ago and the interpretation of the macroviscous and inertial regimes described by the same author as the limits for the coefficient of restitution equal to zero and to the value valid in absence of the viscous fluid, respectively.

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Title:

Simple Shear Flow of Collisional Granular-Fluid Mixtures

Contributors:

Berzi, D. (author)

Published in:

Journal of Hydraulic Engineering ; 139 ; 547-549

Publication date:

2012-11-10

Size:

32013-01-01 pages

ISSN:

0733-9429 , 1943-7900

DOI:

https://doi.org/10.1061/(ASCE)HY.1943-7900.0000701

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

English

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