Application of Lyapunov's methods for analyzing the stability of a tubular chemical reactor with recycle
Authors:
- Marek Berezowski
Abstract
First and second Lyapunov's method were adapted here to analyze the stability of a tubular chemical reactor with recycle. The criterion of local stability, in the form of inequalities, was derived using Lyapunov's first method. It is an explicit algebraic form, despite the fact that the mathematical model of the reactor is a partial differential problem with an boundary condition. As part of the second Lyapunov's method, a mathematical criterion for non‐local stability was derived in the form of an increase of Lyapunov's function. Both criteria are presented on graphs.
- Record ID
- CUTe6ae5bb53a8645a5ae0a47e159639f7d
- Publication categories
- ;
- Author
- Journal series
- Chemical Engineering and Technology, ISSN 0930-7516, e-ISSN 1521-4125
- Issue year
- 2020
- Vol
- 43
- No
- 12
- Pages
- 2523-2529
- Other elements of collation
- schem.; wykr.; Bibliografia (na s.) - 2528-2529; Bibliografia (liczba pozycji) - 24; Oznaczenie streszczenia - Abstr.; Data udostępnienia on-line - 2020-09-29; Numeracja w czasopiśmie - Vol. 43, Iss. 12
- Keywords in English
- tubular chemical reactor, recycle, dynamics, multiple steady states, stability, Lyapunov
- DOI
- DOI:10.1002/ceat.202000311 Opening in a new tab
- URL
- https://onlinelibrary.wiley.com/doi/10.1002/ceat.202000311 Opening in a new tab
- Language
- eng (en) English
- Score (nominal)
- 70
- Publication indicators
- = 1
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUTe6ae5bb53a8645a5ae0a47e159639f7d/
- URN
urn:pkr-prod:CUTe6ae5bb53a8645a5ae0a47e159639f7d
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.