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Segregation and mixture profiles in dense, inclined flows of two types of spheres
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10.1063/1.4830115
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Affiliations:
1 Department of Civil, Environmental and Mechanical Engineering and CUDAM, University of Trento, Trento 38123, Italy
2 School of Civil and Environmental Engineering, Cornell University, Ithaca, New York 14853, USA
Phys. Fluids 25, 113301 (2013)
/content/aip/journal/pof2/25/11/10.1063/1.4830115
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/11/10.1063/1.4830115
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## Figures

FIG. 1.

Profiles of average velocity and concentration for identical spheres with = 0.58, = 0.50, = π /3, and = 0.65 at four angles of inclination. Distance and velocity are made dimensionless by particle diameter and ()1/2, respectively. The lines are the predictions for the uniform, dense region of the flow, and the symbols are the values measured in the numerical simulation.

FIG. 2.

The relation between the mixture volume fraction, roughly constant in the dense limit, and the inclination angle of the flow. The symbols are the depth-averaged concentration measurements of Tripathi and Khakhar and the solid line is the prediction for the uniform concentration in the dense region of the flow when = 0.58, = 0.50, = π/3, and = 0.65.

FIG. 3.

Profiles of the predicted mixture velocity , local concentration fraction / of the more massive spheres and mixture concentration when = 0.65, / = 1, / = 3, = 0.50, and = 0.50 (equivalent to / = 0.5) for four angles of inclination. Distance from the base and velocity are made dimensionless by particle diameter 2 and (2 )1/2, respectively. The lines are the predictions for the uniform, dense region of the flow, and the symbols are the values measured in the numerical simulation.

FIG. 4.

Profiles of the predicted mixture velocity , local concentration fraction / of the larger spheres and mixture concentration in the uniform, dense region of the flow, when = 0.65, / = 1.5, / = (1.5)3, = 0.50, and = 0.23 (equivalent to / = 0.5) at four angles of inclination. Distance from the base and velocity are made dimensionless by particle diameter 2 and (2 )1/2, respectively. The lines are the predictions for the uniform, dense region of the flow, and the symbols are the values measured in the numerical simulation.

FIG. 5.

Profiles of the predicted mixture velocity , local concentration fraction / of the larger spheres and mixture concentration in the uniform, dense region of the flow, when = 0.65, / = 1.5, / = (1.5)3, = 0.50, and ϕ = 25° at five values of the total volume fraction of the larger spheres. Distance from the base and velocity are made dimensionless by particle diameter 2 and (2 )1/2, respectively. The lines are the predictions for the uniform, dense region of the flow, and the symbols are the values measured in the numerical simulation.

FIG. 6.

Profiles of the predicted mixture velocity , local concentration fraction / of the larger spheres and mixture concentration in the uniform, dense region of the flow, when = 0.65, / = 0.5, = 0.50, and ϕ = 25° at four values of the radii ratio. Distance from the base and velocity are made dimensionless by particle diameter 2 and (2 )1/2, respectively. The lines are the predictions for the uniform, dense region of the flow, and the symbols are the values measured in the numerical simulation.

FIG. 7.

Profiles of the predicted mixture velocity , local concentration fraction / of the larger spheres and mixture concentration in the uniform, dense region of the flow, when / = 1.5, = 0.65, = 0.50, = 25°, and / = 0.5 ( = 0.23) at two values of the density ratio. Distance from the base and velocity are made dimensionless by particle diameter 2 and (2 )1/2, respectively. The lines are the predictions for the uniform, dense region of the flow, and the symbols are the values measured in the numerical simulation.

FIG. 8.

Curves of the ratio / versus concentration for various values of the effective coefficient of restitution along which segregation is predicted to be absent.

/content/aip/journal/pof2/25/11/10.1063/1.4830115
2013-11-14
2014-04-21

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