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Dense shearing flows of inelastic disks
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10.1063/1.2364168
/content/aip/journal/pof2/18/10/10.1063/1.2364168
http://aip.metastore.ingenta.com/content/aip/journal/pof2/18/10/10.1063/1.2364168
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Dimensionless chain length or cluster size vs area fraction for three values of the coefficient of restitution .

Image of FIG. 2.
FIG. 2.

Values of the scaled temperature vs measured in numerical simulations of simple shear by Lois et al. (open symbols) and the predicted behavior (line).

Image of FIG. 3.
FIG. 3.

Values of the scaled shear stress vs measured in numerical simulations of simple shear (open symbols as in Fig. 2) and the predicted behavior: (line).

Image of FIG. 4.
FIG. 4.

Values of the scaled pressure vs measured in numerical simulations of simple shear (open symbols as in Fig. 2) and the predicted behavior: (line).

Image of FIG. 5.
FIG. 5.

Values of the stress ratio vs measured in numerical simulations of simple shear (open symbols as in Fig. 2), numerical simulations of inclined flow by Mitarai and Nakanishi (stars), and the predicted behavior for : (line).

Image of FIG. 6.
FIG. 6.

Values of the dimensionless rate of dissipation vs measured in numerical simulations of inclined flow (stars as in Fig. 5) and the predicted behavior: (line).

Image of FIG. 7.
FIG. 7.

Profiles of dimensionless fluctuation velocity vs height in particle diameters for , , , and , unless otherwise indicated.

Image of FIG. 8.
FIG. 8.

Profiles of dimensionless mean velocity vs height in particle diameters. The line designations are the same as in Fig. 7.

Image of FIG. 9.
FIG. 9.

Profiles of area fraction vs height in particle diameters. The line designations are the same as in Fig. 7.

Image of FIG. 10.
FIG. 10.

Profiles of dimensionless fluctuation velocity vs height in particle diameters that result from the numerical solution of the full theory (full lines) and the algebraic approximation in the dense theory (dotted lines).

Image of FIG. 11.
FIG. 11.

in particle diameters vs the tangent of the angle of inclination for and calculated from the dependence of on in simple shearing (full line) and from the numerical solution of the boundary-value problem for the full theory with and (open circles).

Image of FIG. 12.
FIG. 12.

Prochnow’s simulation data for the inclined flow of circular disks at (solid lines), 22° (dotted lines), and 17° (dashed lines), with , 1.7, and 5.4, respectively.

Image of FIG. 13.
FIG. 13.

Two scalings of Pouliquen’s experimental data for the inclined flow of spheres at (solid lines), 25° (dotted lines), and 22° (dashed lines), with , 2.1, and 4.2, respectively.

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/content/aip/journal/pof2/18/10/10.1063/1.2364168
2006-10-30
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Dense shearing flows of inelastic disks
http://aip.metastore.ingenta.com/content/aip/journal/pof2/18/10/10.1063/1.2364168
10.1063/1.2364168
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