Abstract
The problem of the mathematical modeling of the catalyst deactivation process inside a spherical grain with a parallel first-order deactivation mechanism has been solved in the work [9] by the finite difference method. This paper presents a simpler method for the solution of this problem. It is shown that the set of nonlinear partial differential equations for planar, cylindrical, and spherical grains can be reduced to a boundary problem for two ordinary differential equations with respect to the spatial variable, where time is a parameter. The obtained equations are solved by the shooting method using Mathcad functions. For illustration, the profiles of relative catalyst activity and dimensionless reagent concentration are calculated for a spherical grain at a Thiele parameter of 5 and different time moments, together with the dependence of the degree of internal grain surface utilization on dimensionless time. Some asymptotic dependences are proposed for these parameters over a long time period.
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Original Russian Text © S.G. Zavarukhin, 2017, published in Kinetika i Kataliz, 2017, Vol. 58, No. 6, pp. 804–808.
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Zavarukhin, S.G. Mathematical Modeling of the Catalyst Deactivation Process inside a Grain Using Mathcad. Kinet Catal 58, 839–842 (2017). https://doi.org/10.1134/S0023158417060155
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DOI: https://doi.org/10.1134/S0023158417060155