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Critical behaviour in chemically reacting systems: II—An exactly soluble model

✍ Scribed by B.F. Gray

Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
709 KB
Volume
20
Category
Article
ISSN
0010-2180

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✦ Synopsis

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 temperature-time trajectories of the system show a discontinuity at the critical condition in spite of the fact that, due to fuel consumption, explosive and nonexplosive trajectories both return to ambient temperature.

📜 SIMILAR VOLUMES

Critical behaviour in chemically reactin
Critical behaviour in chemically reacting systems—III. An analytical criterion for insensitivity
✍ B.F. Gray 📂 Article 📅 1975 🏛 Elsevier Science 🌐 English ⚖ 588 KB

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 exoth

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✍ B.F. Gray 📂 Article 📅 1973 🏛 Elsevier Science 🌐 English ⚖ 324 KB

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 fwzl consumption. The limiting process used to derive the former from the latter (E -+ 0, B -+ -) is shown to involve an infinite stre