Kinetic theory of aggregation in granular flow

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

This article presents a mathematical formulation of the aggregation kinetics in granular flow. The traditional kinetic theory and its generalized application to granular flow does not allow for particle size to change with time thus cannot be used to describe particle flow with aggregation taking place. In this article, a collision success factor, quantifying the completely inelastic collision of particles, is introduced into the evaluation of collision rate. The kinetic transport equations are then transformed to include source terms that account for the effects of particle size and aggregation. The analytical solution of the collision success factor is obtained by integrating the relative velocity distribution function over its velocity domain from 0 to a critical value, which corresponds a balance between the repulsion and attraction forces in a collision. The factor has been found to depend on the mixture granular energy and the critical relative collision energy.

Original languageEnglish
Pages (from-to)3331-3343
Number of pages13
JournalAICHE Journal
Volume57
Issue number12
Early online date23 Dec 2010
DOIs
Publication statusPublished - 1 Dec 2011
Externally publishedYes

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Kinetic theory
Agglomeration
Particle Size
Particle size
Kinetics
Velocity distribution
Distribution functions

Cite this

Liu, L. / Kinetic theory of aggregation in granular flow. In: AICHE Journal. 2011 ; Vol. 57, No. 12. pp. 3331-3343.
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Kinetic theory of aggregation in granular flow. / Liu, L.

In: AICHE Journal, Vol. 57, No. 12, 01.12.2011, p. 3331-3343.

Research output: Contribution to journalArticle

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