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Transverse diffusion and heat conduction in a granular layer

  • S. I. Kuchanov
  • V. G. Levich
  • L. M. Pis'men
Article

Abstract

The process of non-steady-state transverse diffusion of a passive additive in a granular layer described by a cellular model is investigated. The general results obtained in [1] are applied to an analysis of concrete transport processes of matter and heat in a granular layer. The following four cell models are treated: (1) ideal mixing cells without stagnation zones; (2) ideal mixing cells with stagnation zones; (3) ideal mixing cells with diffusive stagnation zones; (4) ideal mixing cells with diffusive stagnation zones having a finite exchange rate between the free volume and the stagnation zone. The conditions of applicability for each of the above models are found. The time to establish a normal distribution in the transverse diffusion process is determined for all the models. This quantity is then connected with the physical characteristics of transport processes of matter in a layer of nonporous and porous particles, the transport of heat in a granular layer, and the transport of matter in a layer of particles which adsorb an additive.

Keywords

Mathematical Modeling Normal Distribution Mechanical Engineer Exchange Rate Heat Conduction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© The Faraday Press, Inc. 1971

Authors and Affiliations

  • S. I. Kuchanov
    • 1
  • V. G. Levich
    • 1
  • L. M. Pis'men
    • 1
  1. 1.Moscow

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