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Critical behaviour in chemically reacting systems—III. An analytical criterion for insensitivity

✍ Scribed by B.F. Gray

Publisher: Elsevier Science
Year: 1975
Tongue: English
Weight: 588 KB
Volume: 24
Category: Article
ISSN: 0010-2180
DOI: 10.1016/0010-2180(75)90127-3

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✦ Synopsis

A form of practical stability, based on experimental reproducibility, is defined, and called insensitivity, to emphasise the most important physical characteristic shown by chemically reacting systems possessing this property. The necessary and sufficient conditions for the insensitivity of an exothermic first order decomposition reaction are obtained rigorously and it is shown without approximation for the well-stirred ease that the maximum subcritical dimensionless temperature rise is unity, regardless of the value of parameter e (the inverse of the dimensionless heat of reaction).

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✍ B.F. Gray 📂 Article 📅 1973 🏛 Elsevier Science 🌐 English ⚖ 709 KB

The theory of thermal explosions is formulated in such a way that the consumption of fuel is included fully even in the zeroth approximation when time stretching is avoided. The critical conditions are identical with those derived in the Semenov theory which ignores the consumption of fuel. The temp