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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L. M. Pis'men, S. I. Kuchanov, and V. G. Levich, “Transverse diffusion in a granular layer,” Dokl. AN SSSR, vol. 174, no. 3, 1967.
H. Kramers and G. Abberda, “Frequency response analysis of continuous flow systems,” Chem. Engng Sci., vol. 2, p. 173, 1953.
V. G. Levich, V. S. Markin, and Yu. A. Chizmadzhev, “Hydrodynamical mixing in a model of a porous medium with stagnation zones,”Dokl. AN SSSR, vol. 166, no. 6, 1966.
H. Gottschlich, “Axial dispersion in packed beds,” Amer. Inst. Chem. Engng. J., vol. 9, p. 88, 1963.
R. Aris, Introduction to the Analysis of Chemical Reactors, Prentice-Hall, Englewood Cliffs, N.J., 1965.
V. G. Levich, L. M. Pis'men, and S. I. Kuchanov, “Hydrodynamic mixing in a granular layer. The physical model of stagnation zones,” Dokl. AN SSSR, vol. 168, no. 2, 1966.
V. G. Levich, Yu. I. Kharkats, andL. M. Pis'men, “The effect of external diffusion stagnation on a process in a porous catalyst,” Dokl. AN SSSR, vol. 171, no. 2, 1966.
S. Masamune and J. M. Smith, “Thermal conductivity of beds of spherical particles,” Industr. Engng. Chem. Fund., vol. 2, p. 136, 1963.
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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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DOI: https://doi.org/10.1007/BF00913205