Multi-scale kinetic description of granular clusters: invariance, balance, and temperature

We discuss a multi-scale continuum representation of bodies made of several mass particles flowing independently each other. From an invariance procedure and a nonstandard balance of inertial actions, we derive the balance equations introduced in earlier work directly in pointwise form, essentially...

Full description

Saved in:
Bibliographic Details
Published in:Continuum mechanics and thermodynamics 2018-11, Vol.30 (6), p.1323-1342
Main Authors: Capriz, Gianfranco, Mariano, Paolo Maria
Format: Article
Language:English
Subjects:
Classical and Continuum Physics
Engineering Thermodynamics
Granular materials
Heat and Mass Transfer
Invariance
Kinetic energy
Original Article
Physics
Physics and Astronomy
Structural Materials
Theoretical and Applied Mechanics
Thermodynamics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We discuss a multi-scale continuum representation of bodies made of several mass particles flowing independently each other. From an invariance procedure and a nonstandard balance of inertial actions, we derive the balance equations introduced in earlier work directly in pointwise form, essentially on the basis of physical plausibility. In this way, we analyze their foundations. Then, we propose a Boltzmann-type equation for the distribution of kinetic energies within control volumes in space and indicate how such a distribution allows us to propose a definition of (granular) temperature along processes far from equilibrium.
ISSN:0935-1175
1432-0959
DOI:10.1007/s00161-017-0613-7