Mathematical Modeling of the Catalyst Deactivation Process inside a Grain Using Mathcad


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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.

作者简介

S. Zavarukhin

Boreskov Institute of Catalysis; Novosibirsk State Technical University

编辑信件的主要联系方式.
Email: zsg@catalysis.ru
俄罗斯联邦, Novosibirsk, 630090; Novosibirsk, 630073

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