Critical behaviour in chemically reacting systems

I-Difficulties with the Semenov theory

B. F. Gray*

*Corresponding author for this work

Research output: Contribution to journalArticle

15 Citations (Scopus)


The Semenov theory of thermal explosion without fuel consumption cannot be derived correctly from the exact equations describing the problem, i.e. the equations with fuel consumption. The limiting process used to derive the former from the latter (ε{lunate} → 0, B → ∞) is shown to involve an infinite stretching of the dimensionless time coordinate. A correct limiting process is given which provides different equations from the Semenov theory.

Original languageEnglish
Pages (from-to)313-316
Number of pages4
JournalCombustion and Flame
Issue number3
Publication statusPublished - 1973
Externally publishedYes

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