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

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