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Critical behaviour in chemically reacting systems: I—Difficulties with the Semenov theory

✍ Scribed by B.F. Gray

Publisher: Elsevier Science
Year: 1973
Tongue: English
Weight: 324 KB
Volume: 20
Category: Article
ISSN: 0010-2180
DOI: 10.1016/0010-2180(73)90022-9

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✦ Synopsis

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 stretching of the dimensionless time coordinate. A correct limiting proct 5s is given which provides different equations from the Semenov theory.

📜 SIMILAR VOLUMES

Critical behavior in chemically reacting

Critical behavior in chemically reacting systems IV—Layered media in the semenov approximation

✍ B.F. Gray; J.C. Jones 📂 Article 📅 1981 🏛 Elsevier Science 🌐 English ⚖ 391 KB

Thermal explosion theory is applied to a system comprising one chemically reacting medium embedded in another. The model makes use of Semenov's treatment. The Arrhenius part of the heat production term is simplified by means of the exponential approximation, and because of the assumption of spatiall