Abstract
A catalyst grain in a fixed-bed reactor is surrounded by an non-uniform flow because the reactant concentration changes as the reaction mixture moves through the bed. A problem was considered in which a spherical grain is in an non-uniform flow with a linear dependence of the reactant concentration on the longitudinal coordinate of the reactor in the presence of pore-diffusion resistance in the catalyst grain. For a first-order reaction, an analytical solution for the reactant concentration distribution within the grain was obtained. It was shown that, in comparison with a grain in a uniform flow, the reactant concentration increases in the frontal hemisphere of the grain and decreases in its rear hemisphere, and the grain performance remains unchanged because the increase in the reaction rate in the frontal hemisphere is compensated by its decrease in the rear hemisphere.
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This work was supported by the Russian Science Foundation (project no. 18-43-08002).
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Translated by V. Glyanchenko
Abbreviations and notation: z, longitudinal coordinate of reactor; d, characteristic size of grain; b, radius of grain; R, distance from center of grain to chosen point; x, dimensionless distance from center of grain to chosen point; ϑ, angle between axis z and radius vector of chosen point; u, flow-rate-average velocity of reaction mixture in fixed catalyst bed; c, reactant concentration; c0, reactant concentration in uniform flow or reactant concentration in non-uniform flow at z = 0; y, dimensionless reactant concentration; D, effective diffusion coefficient; k, reaction rate constant; ψ, Thiele modulus; ε, dimensionless flow nonuniformity coefficient; Δ, change in quantity or Laplace operator; f, auxiliary function; C1, C2, A1, and A2, undetermined constants; and V0, volume of grain.
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Zavarukhin, S.G., Kukushkin, R.G. The Effect of the Flow Nonuniformity on the Chemical Process in a Catalyst Grain in the Presence of Pore-Diffusion Resistance. Kinet Catal 61, 903–906 (2020). https://doi.org/10.1134/S0023158420060178
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DOI: https://doi.org/10.1134/S0023158420060178