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Self-Sustained Oscillations on the Back Branch of the Inverse Hysteresis in a Mathematical Model of Catalytic CO Oxidation over Palladium Full article

Journal Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797
Output data Year: 2019, Volume: 13, Number: 4, Pages: 663-671 Pages count : 9 DOI: 10.1134/S1990478919040094
Tags CSTR reactor; discrete-continuous dynamical system; heterogeneous catalytic reaction; inverse hysteresis; self-sustained oscillations
Authors Lashina E.A. 1,2 , Chumakova N.A. 1,2 , Chumakov G.A. 3,2
Affiliations
1 Boreskov Institute of Catalysis, pr. Akad. Lavrent’eva 5, Novosibirsk, 630090 Russia
2 Novosibirsk State University, ul. Pirogova 1, Novosibirsk, 630090 Russia
3 Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090 Russia

Funding (3)

1 Federal Agency for Scientific Organizations 0303-2016-0003
2 Federal Agency for Scientific Organizations 0303-2016-0017
3 Siberian Branch of the Russian Academy of Sciences I.1.5.3

Abstract: Under study is the mathematical model describing the inverse temperature hysteresis as well as the self-sustained oscillations in the CO oxidation over a palladium catalyst in an chemical stirred tank reactor (CSTR). We consider the reaction dynamics under temperature-programmed conditions: At first, the temperature T of the CSTR monotonically increases (due to outside heating) and then it decreases to the initial value. As the temperature goes up, on the surface and in the bulk of the catalyst two palladium oxide forms appear and then, while the temperature decreases, the catalyst reduces to its original state. The mathematical model of nonstatinary processes in such a CSTR is the piecewise continuous system of nonlinear ordinary differential equations (ODE), i.e, a discrete-continuous system. Using the theory of dynamical systems and bifurcation theory as well as numerical methods, we study the structure of the maximal families of the steady states and periodic solutions in dependence on temperature. For the system under study some sufficient conditions are given under which an inverse hysteresis is observed on the dependence of the conversion of the main reagent versus T. Moreover, as temperature decreases, there are self-oscillations of the reaction rate and CO conversion on the lower back branch of the hysteresis. The parameters of the model are found such that the experimental data are qualitatively described. © 2019, Pleiades Publishing, Ltd.
Cite: Lashina E.A. , Chumakova N.A. , Chumakov G.A.
Self-Sustained Oscillations on the Back Branch of the Inverse Hysteresis in a Mathematical Model of Catalytic CO Oxidation over Palladium
Journal of Applied and Industrial Mathematics. 2019. V.13. N4. P.663-671. DOI: 10.1134/S1990478919040094 Scopus РИНЦ OpenAlex
Original: Лашина Е.А. , Чумакова Н.А. , Чумаков Г.А.
Автоколебания на ветви обратного гистерезиса в математической модели реакции окисления оксида углерода на палладии
Сибирский журнал индустриальной математики. 2019. Т.22. №4 (80). С.44-53. DOI: 10.33048/sibjim.2019.22.405 РИНЦ OpenAlex
Files: Full text from publisher
Dates:
Submitted: Aug 19, 2019
Accepted: Sep 5, 2019
Published print: Oct 1, 2019
Published online: Feb 4, 2020
Identifiers:
Scopus: 2-s2.0-85078947891
Elibrary: 43243439
OpenAlex: W3005253631
Citing: Пока нет цитирований
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