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ISSN Druckformat: 1064-2315
ISSN Online: 2163-9337
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Mathematical Modeling of Nonlinear Competitive Two-Component Diffusion in Media of Nanoporous Particles
ABSTRAKT
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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Deineka V. S., Petryk M. R., Fraissard J., Identifying kinetic parameters of mass transfer in components of multicomponent heterogeneous nanoporous media of a competitive diffusion system, Cybernetics and Systems Analysis, 47, 5, 2011. Crossref
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Sergienko I. V., Petryk M. R., Fraissard J., Leclerc S., Highly Efficient Methods of the Identification of Competitive Diffusion Parameters in Inhomogeneous Media of Nanoporous Particles, Cybernetics and Systems Analysis, 51, 4, 2015. Crossref
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Zhang Jin Zhu, Luo Shui Hui, Xu Chu Shao, The Calculation of Kinetic Parameters in Manganese Nitriding, Advanced Materials Research, 97-101, 2010. Crossref
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Petryk M., Leclerc S., Canet D., Sergienko I., Deineka V., Fraissard J., Competitive Diffusion of Gases in a Zeolite Bed: NMR and Slice Selection Procedure, Modeling, and Parameter Identification, The Journal of Physical Chemistry C, 119, 47, 2015. Crossref