Unified thermal and chain branching model of hydrocarbon oxidation in a well stirred continuous flow reactor

I. Gonda*, B. F. Gray

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    13 Citations (Scopus)

    Abstract

    Using rigorous mathematical analysis, the nature of the thermo-kinetic steady states is investigated, and particular attention is paid to the existence of stable limit cycles originating from supercritical Hopf bifurcations. These oscillations representing the 'cool flames' disappear at the low temperature limit via limit cycle-saddle point bifurcations. The origin of 'two-stage' ignitions is traced to these bifurcations; the computed trajectories exhibit 'shoulders' characteristic of such ignitions. The system shows hysteresis in the transitions between oscillatory and non-oscillatory steady states.

    Original languageEnglish
    Pages (from-to)133-152
    Number of pages20
    JournalProceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences
    Volume389
    Issue number1796
    Publication statusPublished - 8 Sep 1983

    Fingerprint

    Dive into the research topics of 'Unified thermal and chain branching model of hydrocarbon oxidation in a well stirred continuous flow reactor'. Together they form a unique fingerprint.

    Cite this