Kinetic theory analysis of flow-induced particle diffusion and thermal conduction in granular material flows

S. S. Hsiau, M. L. Hunt

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

The present study on granular material flows develops analytical relations for the flow-induced particle diffusivity and thermal conductivity based on the kinetic theory of dense gases. The kinetic theory modeling assumes that the particles are smooth, identical and nearly-elastic spheres, and that the binary collisions between the particles are isotropically distributed throughout the flow. The particle diffusivity and effective thermal conductivity are found to increase with the square-root of the granular temperature, a term that quantifies the kinetic energy of the flow. The theoretical particle diffusivity is used to predict diffusion in a granular-flow mixing layer, and to qualitatively compare with recent experimental measurements. The analytical expression for the effective thermal conductivity is used to define an apparent Prandtl number of a simple-shear flow; this result is also compared with experimental measurements. The differences between the predictions and the measurements suggest limitations in applying kinetic theory concepts to actual granular material flows.

Original languageEnglish
Title of host publicationGeneral Papers in Heat Transfer
PublisherPubl by ASME
Pages41-48
Number of pages8
ISBN (Print)0791809307
StatePublished - 1992
Event28th National Heat Transfer Conference and Exhibition - San Diego, CA, USA
Duration: 9 Aug 199212 Aug 1992

Publication series

NameAmerican Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD
Volume204
ISSN (Print)0272-5673

Conference

Conference28th National Heat Transfer Conference and Exhibition
CitySan Diego, CA, USA
Period9/08/9212/08/92

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