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Journal of Automation and Information Sciences
SJR: 0.232 SNIP: 0.464 CiteScore™: 0.27

ISSN Imprimir: 1064-2315
ISSN On-line: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v41.i3.60
pages 37-55

Mathematical Modeling of Nonlinear Competitive Two-Component Diffusion in Media of Nanoporous Particles

Mikhail R. Petryk
Ivan Puluj Ternopol National Technical University, Ternopol
Jack Fraissard
Pyer and Mari Kyuri University, Paris, France

RESUMO

A nonlinear mathematical model of two-component competitive diffusion in bounded nanoporous media of spherical particles is proposed. The solvability of the linearized system of boundary-value problems, built with the use of a small parameter method, is grounded. By the methods of the Heaviside operational calculus and Cauchy fundamental matrices the exact analytical solutions of the linearized problems are constructed. Using the analytical solution and experimental data by solving the inverse problem the profiles of the diffusion coefficients for adsorption of two-component gas mixture in the nanoporous zeolite catalysts of spherical crystallites are obtained


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