SelfSustained Oscillations on the Back Branch of the Inverse Hysteresis in a Mathematical Model of Catalytic CO Oxidation over Palladium
Full article
Общее 
Language:
Английский,
Genre:
Full article,
Status:
Published,
Source type:
Translated

Journal 
Journal of Applied and Industrial Mathematics
ISSN: 19904789
, EISSN: 19904797

Output data 
Year: 2019,
Volume: 13,
Number: 4,
Pages: 663671
Pages count
: 9
DOI:
10.1134/S1990478919040094

Tags 
CSTR reactor; discretecontinuous dynamical system; heterogeneous catalytic reaction; inverse hysteresis; selfsustained 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

030320160003

2

Federal Agency for Scientific Organizations

030320160017

3

Президиум СО РАН

I.1.5.3

Under study is the mathematical model describing the inverse temperature hysteresis as well as the selfsustained oscillations in the CO oxidation over a palladium catalyst in an chemical stirred tank reactor (CSTR). We consider the reaction dynamics under temperatureprogrammed 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 discretecontinuous 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 selfoscillations 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.