Kinetic Model of Compaction in Granular Materials

Authors

  • O. I. Gerasymov Odesa State Environmental University
  • A. Ya. Spivak Odesa State Environmental University

DOI:

https://doi.org/10.15407/ujpe60.03.0253

Keywords:

granular materials, compaction, order parameter

Abstract

A simple kinetic equation describing the process of compaction relaxation to the asymptotic quasistationary state and satisfying the Carnahan–Starling equation of state has been formulated for the hard sphere model. In the framework of the Landau approach, we obtain the corresponding analytical solutions, which describe the homogeneous relaxation of the relevant order parameter in a sequential piecewise continuous series of intervals for the packing parameter. The characteristic relaxation time of the order parameter is found as a function of the model parameters. It is shown that the compaction can be satisfactorily described using the model of fractional kinetics, which reproduces the well-known asymptotic dependences in the corresponding limits. The results obtained agree well with the data of measurements concerning the compaction in granular materials under the action of external perturbations.

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UJP 2015 V60 #3

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Published

2019-01-21

Issue

Vol. 60 No. 3 (2015)

Section

Soft matter

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How to Cite

Kinetic Model of Compaction in Granular Materials. (2019). Ukrainian Journal of Physics, 60(3), 253. https://doi.org/10.15407/ujpe60.03.0253

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