Granular Matter

, Volume 14, Issue 2, pp 203–208

“Phonon” conductivity along a column of spheres in contact

Relation to volume fraction invariance in the core of granular flows down inclines
Original Paper

DOI: 10.1007/s10035-011-0296-x

Cite this article as:
Louge, M.Y. Granular Matter (2012) 14: 203. doi:10.1007/s10035-011-0296-x


We calculate energy conduction and dissipation along a column of spheres linked with linear springs and dashpots to illustrate how grains in simultaneous contact may produce a constant “phonon” conductivity of granular fluctuation kinetic energy. In the core of dense unconfined granular flows down bumpy inclines, we show that phonon conductivity dominates its counterpart calculated from gas kinetic theory. However, the volume dissipation rate of phonon fluctuation energy is of the same order as the kinetic theory prediction.


Granular conduction Dense flows 

Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.Sibley School of Mechanical & Aerospace EngineeringCornell UniversityIthacaUSA

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