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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
/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
View: Figures

Figures

Image of FIG. 1.
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.

Image of FIG. 2.
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 13 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.

Image of FIG. 3.
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.

Image of FIG. 4.
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.

Image of FIG. 5.
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.

Image of FIG. 6.
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.

Image of FIG. 7.
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.

Image of FIG. 8.
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.

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/content/aip/journal/pof2/25/11/10.1063/1.4830115
2013-11-14
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Segregation and mixture profiles in dense, inclined flows of two types of spheres
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/11/10.1063/1.4830115
10.1063/1.4830115
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