A method of suppressing chaos in a chemical reactor and the use of chaos for identifying the reactor model

Berezowski, Marek

doi:10.24425/cpe.2019.126119

Artykuł - szczegóły

Tytuł artykułu

A method of suppressing chaos in a chemical reactor and the use of chaos for identifying the reactor model

Autorzy

Berezowski Marek

Treść / Zawartość

Pełne teksty:

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Identyfikatory

DOI

10.24425/cpe.2019.126119

Warianty tytułu

Języki publikacji

Abstrakty

A method of suppressing chaotic oscillations in a tubular reactor with mass recycle is discussed. The method involves intervention in the temperature of the input flow by the recirculation flow and the temperature set from the exterior. The most advantageous solution was proved to be heat coupling elimination and maintenance of the reactor input temperature on the set level. Moreover, the reactor modelwas identified on the basis of a chaotic solution, as it provides the biggest entropy of information.

Słowa kluczowe

chemical reactor recycle chaos control fractals identification

reaktor chemiczny recykling chaos kontrola fraktale identyfikacja

Wydawca

Komitet Inżynierii Chemicznej i Procesowej Polskiej Akademii Nauk

Czasopismo

Chemical and Process Engineering

Rocznik

2019

Tom

Vol. 40, nr 3

Strony

265–--272

Opis fizyczny

Bibliogr. 20 poz., wykr.

Twórcy

autor

Berezowski Marek

marek.berezowski@pk.edu.pl

Cracow University of Technology, Faculty of Chemical Engineeringand Technology, 30-155 Kraków, ul. Warszawska 24, Poland

Bibliografia

1. Antoniades C., Christofides P. D., 2001. Studies on nonlinear dynamics and control of a tubular reactor with recycle. Nonlinear Anal. Theory Methods Appl., 47, 5933–5944. DOI: 10.1016/S0362-546X(01)00699-X.
2. Berezowski M., 2000. Spatio-temporal chaos in tubular chemical reactors with the recycle of mass. Chaos, Solitons Fractals, 11, 1197–1204. DOI: 10.1016/S0960-0779(99)00026-0.
3. Berezowski M., 2001. Effect of delay time on the generation of chaos in continuous systems. One dimensional model. Two-dimensional model – tubular chemical reactor with recycle. Chaos, Solitons Fractals, 12, 83–89. DOI: 10.1016/S0960-0779(99)00171-X.
4. Berezowski M., 2006. Fractal character of basin boundaries in a tubular chemical reactor with mass recycle. Chem. Eng. Sci., 61, 1342–1345. DOI: 10.1016/j.ces.2005.08.023.
5. Berezowski M., Kulik B., 2009. Periodicity of chaotic solutions of the model of thermally coupled cascades of chemical tank reactors with flow reversal. Chaos, Solitons Fractals, 40, 331–336. DOI: 10.1016/j.chaos.2007.07.066.
6. Berezowski M., 2009. Liapunov’s time of a tubular chemical reactor with mass recycle. Chaos, Solitons Fractals, 41, 2647–2651. DOI: 10.1016/j.chaos.2008.09.058.
7. Berezowski M., 2013. Crisis phenomenon in a chemical reactor with recycle. Chem. Eng. Sci., 101, 451–453. DOI: 10.1016/j.ces.2013.07.014.
8. Berezowski M., Lawnik M., 2014. Identification of fast-changing signals by means of adaptive chaotic transformations. Nonlinear Anal. Modell. Control, 19, 172–177. DOI: 10.15388/NA.2014.2.2.
9. Berezowski M., Dubaj D., 2015. Chaotic oscillations of coupled chemical reactors. Chaos, Solitons Fractals, 78, 22–25. DOI: 10.1016/j.chaos.2015.07.001.
10. Berezowski M., 2017. Limit cycles that do not comprise steady states of chemical reactors. Appl. Math. Comput., 312, 129–133. DOI: 10.1016/j.amc.2017.05.002.
11. Bizon K., Continillo G., Berezowski M., Smula-Ostaszewska J., 2012. Optimal model reduction by empirical spectral methods via sampling of chaotic orbits. Physica D, 241, 1441–1449. DOI: 10.1016/j.physd.2012.05.004.
12. Foryś U., Marciniak-Czochra A., 2003. Logistic equations in tumour growth modelling. Int. J. Appl. Math. Comput. Sci., 13, 3, 317–325.
13. Chien-Chong C., 1996. Stabilized chaotic dynamics of coupled non-isothermal CSTRs. Chem. Eng. Sci., 51, 5159–5169. DOI: 10.1016/S0009-2509(96)00335-1.
14. Femat R., Mendez Acosta H.O., Steyer J.P., Gonzalez-Alvarez V., 2004. Temperature oscillations in a biological reactor with recycle. Chaos, Solitons Fractals, 19, 875–89. DOI: 10.1016/S0960-0779(03)00252-2.
15. Jacobsen E.W., Berezowski M., 1998. Chaotic dynamics in homogeneous tubular reactors with recycle. Chem. Eng. Sci., 53, 4023–029. DOI: 10.1016/S0009-2509(98)00177-8.
16. Lawnik M., Berezowski M., 2014. Identification of the oscillation period of chemical reactors by chaotic sampling of the conversion degree. Chem. Process Eng., 35, 387–393. DOI: 10.2478/cpe-2014-0029.
17. Luss D., Amundson N.R., 1996. Stability of loop reactors. AIChE J., 13, 279–290. DOI: 10.1002/aic.690130218.
18. Rehacek J., Kubicek M., Marek M., 1998. Periodic, quasiperiodic and chaotic spatiotemporal patterns in a tubular catalytic reactor with periodic flow reversal. Comput. Chem. Eng., 22, 283–297. DOI: 10.1016/S0098-1354(96) 00365-1.
19. Russo L., Altimari P., Mancusi E., Maffettone P.L., Crescitelli S., 2006. Complex dynamics and spatio-temporal patterns in a network of three distributed chemical reactors with periodical feed switching. Chaos, Solitons Fractals, 28, 682–706. DOI: 10.1016/j.chaos.2005.05.051.
20. Zukowski W., Berezowski M., 2000. Generation of chaotic oscillations in a system with flow reversal. Chem. Eng. Sci., 55, 339–343. DOI: 10.1016/S0009-2509(99)00329-2.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).

Typ dokumentu

Bibliografia

Identyfikator YADDA

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