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Surface flows of inelastic spheres
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10.1063/1.3532838
/content/aip/journal/pof2/23/1/10.1063/1.3532838
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/1/10.1063/1.3532838

Figures

Image of FIG. 1.
FIG. 1.

Sketch of the flow configuration with the frame of reference.

Image of FIG. 2.
FIG. 2.

Influence on the approximate analytical solution for flow rate vs the angle of inclination for a channel of of (a) the coefficient of restitution (, dot-dashed line; , dashed line). (b) The parameter in the correlation length (, dot-dashed line; , dashed line). (c) The friction coefficients of the walls (, dot-dashed line; , dashed line). (d) The stress ratio at the bed (, dot-dashed line; , dashed line). In all the plots, the solid line represents the analytical solution obtained using the reference set of parameters. In (a), the experimental results (circles) of Jop et al. (Ref. 10) are also shown.

Image of FIG. 3.
FIG. 3.

Scaled flow depth against scaled flow rate per unit width: the experiment (circles) of Félix et al. (Ref. 13), the present theoretical treatment (solid line), and the analytical solution (dashed line) of Jop et al. (Ref. 10).

Image of FIG. 4.
FIG. 4.

Experimental [circles, from du Pont et al. (Ref. 31)] and theoretical (solid line) stopping angle vs distance between sidewalls.

Tables

Generic image for table
Table I.

Summary of the constitutive relations.

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/content/aip/journal/pof2/23/1/10.1063/1.3532838
2011-01-11
2014-04-23
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Surface flows of inelastic spheres
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/1/10.1063/1.3532838
10.1063/1.3532838
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