Disjoint bifurcation diagrams in combustion systems

B. F. Gray*, J. H. Merkin, G. C. Wake

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    32 Citations (Scopus)

    Abstract

    It is shown that the classical non-dimensionalisation of many simple combusting systems is sufficiently nonlinear to conceal some of the differences in behaviour shown when different bifurcation parameters are varied quasi-statically to produce bifurcation diagrams. Variations of ambient or feed temperature, in particular, can produce a bifurcation diagram where the upper stable state is on a branch which is disjoint from the rest of the diagram, indicating that the combustion state cannot be extinguished by lowering this temperature to any physically attainable level.

    Original languageEnglish
    Pages (from-to)25-33
    Number of pages9
    JournalMathematical and Computer Modelling
    Volume15
    Issue number11
    DOIs
    Publication statusPublished - 1991

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