Axial dispersion of granular material in horizontal rotating cylinders

The discrete element method is used to calculate axial dispersion coefficients for approximately monosized particles in a rotating horizontal cylinder. Axial dispersion within the cylinder is shown to follow Fick's second law, in that the mean squared deviation of axial position of a pulse of p...

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Bibliographic Details
Published in:Powder technology 2010-11, Vol.203 (3), p.510-517
Main Authors: Third, J.R., Scott, D.M., Scott, S.A.
Format: Article
Language:English
Subjects:
Axial dispersion
Cylinders
Discrete element method
Dispersions
Granular materials
Gravitation
Horizontal
Law
Mathematical analysis
Rotating cylinders
Walls
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Summary:The discrete element method is used to calculate axial dispersion coefficients for approximately monosized particles in a rotating horizontal cylinder. Axial dispersion within the cylinder is shown to follow Fick's second law, in that the mean squared deviation of axial position of a pulse of particles is proportional to time. The axial dispersion coefficient is found to depend on the particle size, gravity and drum rotation speed, allowing a dimensionless group to be formed using these four quantities. For sufficiently large cylinders, the axial dispersion coefficient is found to be independent of drum diameter. A general argument is given which suggests that axial dispersion in physical beds of approximately monosized particles should follow Fick's second law. Discrete element method calculations with approximately monosized particles in a horizontal rotating cylinder with wall rougheners give axial dispersion which follows Fick's second law. A general argument is given which suggests that this should be so. For cylinders of sufficiently large diameter, axial dispersion is found to depend on particle size, gravity, and rotation speed. [Display omitted]
ISSN:0032-5910
1873-328X
DOI:10.1016/j.powtec.2010.06.017