Mathematical Modeling of the Catalyst Deactivation Process inside a Grain Using Mathcad Full article
| Journal |
Kinetics and Catalysis
ISSN: 0023-1584 , E-ISSN: 1608-3210 |
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| Output data | Year: 2017, Volume: 58, Number: 6, Pages: 839-842 Pages count : 4 DOI: 10.1134/S0023158417060155 | ||||
| Tags | catalyst deactivation modeling | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Federal Agency for Scientific Organizations | 0303-2016-0012 (V.47.1.4.) |
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.
Cite:
Zavarukhin S.G.
Mathematical Modeling of the Catalyst Deactivation Process inside a Grain Using Mathcad
Kinetics and Catalysis. 2017. V.58. N6. P.839-842. DOI: 10.1134/S0023158417060155 WOS Scopus РИНЦ AN OpenAlex
Mathematical Modeling of the Catalyst Deactivation Process inside a Grain Using Mathcad
Kinetics and Catalysis. 2017. V.58. N6. P.839-842. DOI: 10.1134/S0023158417060155 WOS Scopus РИНЦ AN OpenAlex
Original:
Заварухин С.Г.
Математическое моделирование процесса дезактивации катализатора внутри зерна с использованием программы Mathcad
Кинетика и катализ. 2017. Т.58. №6. С.804-808. DOI: 10.7868/80453881117060193 РИНЦ OpenAlex
Математическое моделирование процесса дезактивации катализатора внутри зерна с использованием программы Mathcad
Кинетика и катализ. 2017. Т.58. №6. С.804-808. DOI: 10.7868/80453881117060193 РИНЦ OpenAlex
Dates:
| Submitted: | Mar 22, 2017 |
| Published print: | Nov 1, 2017 |
| Published online: | Mar 1, 2018 |
Identifiers:
| Web of science: | WOS:000426573800023 |
| Scopus: | 2-s2.0-85042715536 |
| Elibrary: | 35536822 |
| Chemical Abstracts: | 2018:366887 |
| OpenAlex: | W2790709308 |