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Frictional–collisional equations of motion for granular materials and their application to flow in aerated chutes

Published online by Cambridge University Press:  26 April 2006

P. Nott  and
R. Jackson
P. Nott
Affiliation:
Department of Chemical Engineering, Princeton University, Princeton, NJ 08544, USA
R. Jackson
Affiliation:
Department of Chemical Engineering, Princeton University, Princeton, NJ 08544, USA
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Abstract

Equations of motion and boundary conditions for a flowing granular material, developed in earlier publications, are here extended to allow for drag forces resulting from relative motion of the material and interstitial air. These are solved for fully developed flow down an inclined plane, through which a constant flow of air passes upward. The results are compared with measurements from an experimental aerated chute, in which the inclination of the chute, the flow rate of the granular material, and the flow of air are all varied. Using parameter values from independent measurements, as far as possible, the theory is found to give a good qualitative account of the observed behaviour. With a reasonable assigned value for the one parameter that cannot be determined independently the quantitative agreement is also satisfactory.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 241 , August 1992 , pp. 125 - 144
Copyright
© 1992 Cambridge University Press

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