𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

✍ Scribed by B.F. Gray; J.C. Jones

Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
391 KB
Volume
40
Category
Article
ISSN
0010-2180

No coin nor oath required. For personal study only.

✦ Synopsis

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 spatially uniform temperatures inherent in Semenov's formalism, thermal boundaries are characterized by temperature steps. The treatment is extended to the case where one of the media reacts endothermically. The possibility of stabilization of a core reaction by an outer endothermic one is investigated.

📜 SIMILAR VOLUMES

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

A stochastic approach to the analysis of
A stochastic approach to the analysis of chemically reacting systems—IV. Critical slowing down in autocatalysis
✍ S.S. Tambe; B.D. Kulkarni; L.K. Doraiswamy 📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 379 KB

The case of an autocatalytic reaction in the presence of fluctuations is analysed. The governing Fokker-Planck equation has been solved using three different methods. The analysis indites sharp variations in the intensity of fluctuations when the system undergoing critical slowing down is disturbed