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Dynamical analysis of an elementary X + Y → P reaction in a continuously stirred tank reactor

Journal Article


Abstract


  • This paper investigates the bifurcation behaviour of a model oxidation reaction in a continuously stirred tank reactor (CSTR). We assume that two gaseous chemical species are pumped separately into the CSTR, at constant total pressure, reacting to produce an inert product. The reaction is assumed to be a single step reaction that is described by Arrhenius kinetics. It is capable of producing oscillatory behaviour as well as steady state multiplicity in certain parameter regions. Bifurcation diagrams in various control parameter spaces are presented. We show that the system always possesses a globally attracting invariant region. The equivalence of a CSTR having n feed streams and the one pipe version, by appropriate rescaling, is also discussed.

Publication Date


  • 2000

Citation


  • Sidhu, H. S., Nelson, M. I., Mercer, G. N., & Weber, R. O. (2000). Dynamical analysis of an elementary X + Y → P reaction in a continuously stirred tank reactor. Journal of Mathematical Chemistry, 28(4), 353-375. doi:10.1023/A:1011043005019

Scopus Eid


  • 2-s2.0-0034340261

Web Of Science Accession Number


Start Page


  • 353

End Page


  • 375

Volume


  • 28

Issue


  • 4

Abstract


  • This paper investigates the bifurcation behaviour of a model oxidation reaction in a continuously stirred tank reactor (CSTR). We assume that two gaseous chemical species are pumped separately into the CSTR, at constant total pressure, reacting to produce an inert product. The reaction is assumed to be a single step reaction that is described by Arrhenius kinetics. It is capable of producing oscillatory behaviour as well as steady state multiplicity in certain parameter regions. Bifurcation diagrams in various control parameter spaces are presented. We show that the system always possesses a globally attracting invariant region. The equivalence of a CSTR having n feed streams and the one pipe version, by appropriate rescaling, is also discussed.

Publication Date


  • 2000

Citation


  • Sidhu, H. S., Nelson, M. I., Mercer, G. N., & Weber, R. O. (2000). Dynamical analysis of an elementary X + Y → P reaction in a continuously stirred tank reactor. Journal of Mathematical Chemistry, 28(4), 353-375. doi:10.1023/A:1011043005019

Scopus Eid


  • 2-s2.0-0034340261

Web Of Science Accession Number


Start Page


  • 353

End Page


  • 375

Volume


  • 28

Issue


  • 4