Abstract
A spatially nonuniform system in which a first-order chemical reaction occurs is considered. Both the diffusion coefficient and the kinetic coefficient of the reaction are assumed to be dependent on spatial coordinates. An asymptotically valid method is proposed for reducing a diffusion equation (under the described conditions) in the presence of a source (a reaction) to a simple kinetic equation containing a constant kinetic coefficient. A functional is derived that makes it possible to use variational methods for determining the kinetic coefficient.
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Original Russian Text © A.I. Moshinskii, 2011, published in Teoreticheskie Osnovy Khimicheskoi Tekhnologii, 2011, Vol. 45, No. 6, pp. 679–686.
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Moshinskii, A.I. Limiting kinetic equation for describing a first-order chemical reaction with spatially nonuniform diffusion and kinetic coefficients. Theor Found Chem Eng 45, 868–875 (2011). https://doi.org/10.1134/S0040579511050277
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DOI: https://doi.org/10.1134/S0040579511050277