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Transverse diffusion and heat conduction in a granular layer

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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.

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References

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Kuchanov, S.I., Levich, V.G. & Pis'men, L.M. Transverse diffusion and heat conduction in a granular layer. J Appl Mech Tech Phys 8, 32–36 (1967). https://doi.org/10.1007/BF00913205

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Keywords

  • Mathematical Modeling
  • Normal Distribution
  • Mechanical Engineer
  • Exchange Rate
  • Heat Conduction