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- Title
Mathematical Modeling of the Catalyst Deactivation Process inside a Grain Using Mathcad.
- Authors
Zavarukhin, S. G.
- 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.
- Subjects
CHEMICAL reactions; ABDERHALDEN reaction; CHEMICAL kinetics; CHEMICAL affinity; HOMOGENEOUS catalysis
- Publication
Kinetics & Catalysis, 2017, Vol 58, Issue 6, p839
- ISSN
0023-1584
- Publication type
Article
- DOI
10.1134/S0023158417060155