Self-Sustained Oscillations on the Back Branch of the Inverse Hysteresis in a Mathematical Model of Catalytic CO Oxidation over Palladium | Sciact - Система учета научной деятельности ИМ СО РАН

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

Журнал

Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797

Вых. Данные

Год: 2019, Том: 13, Номер: 4, Страницы: 663-671 Страниц : 9 DOI: 10.1134/S1990478919040094

Ключевые слова

self-sustained oscillations, inverse hysteresis, discrete-continuous dynamical system, heterogeneous catalytic reaction, CSTR reactor

Авторы

Lashina E.A. ^1,2 , Chumakova N.A. ^1,2 , Chumakov G.A. ^3,2

Организации

1	Boreskov Institute of Catalysis
2	Novosibirsk State University
3	Sobolev Institute of Mathematics

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.

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 OpenAlex

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. С.44-53. DOI: 10.33048/SIBJIM.2019.22.405 OpenAlex

Поступила в редакцию:	19 авг. 2019 г.
Принята к публикации:	19 авг. 2019 г.
Опубликована в печати:	4 февр. 2020 г.

Scopus:	2-s2.0-85078947891
OpenAlex:	W3005253631

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