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The role of particle collisions in pneumatic transport

Published online by Cambridge University Press:  26 April 2006

M. Y. Louge ,
E. Mastorakos  and
J. T. Jenkins
M. Y. Louge
Affiliation:
Sibley School of Mechanical and Aerospace Engineering, Cornell University. Ithaca, NY 14853, USA
E. Mastorakos
Affiliation:
Sibley School of Mechanical and Aerospace Engineering, Cornell University. Ithaca, NY 14853, USA
J. T. Jenkins
Affiliation:
Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, NY 14853, USA
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Abstract

We analyse the dilute, steady, fully developed flow of relatively massive particles in a turbulent gas in the context of a vertical pipe. The idea is that the exchange of momentum in collisions between the grains and between the grains and the wall plays a significant role in the balance of forces in the particle phase. Consequently, the particle phase is considered to be a dilute system of colliding grains, in which the velocity fluctuations are produced by collisions rather than by the gas turbulence. The balance equations for rapid granular flow are modified to incorporate the drag force from the gas, and boundary conditions, based on collisional exchanges of momentum and energy at the wall, are employed. The turbulence of the gas is treated using a one-equation closure. A numerical solution of the resulting governing equations provides velocity and turbulent energy profiles in agreement with the measurements of Tsuji et al. (1984).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 231 , October 1991 , pp. 345 - 359
Copyright
© 1991 Cambridge University Press

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