Theory of branching reactions with chain interaction

B. F. Gray

Research output: Contribution to journalArticleResearchpeer-review

Abstract

A number of branching schemes involving quadratic interactions is examined using the methods of non-linear stability theory. A critical value for the branching factor is derived exactly for a chain thermal explosion involving radical-radical termination and self-heating. A self-inhibited branching scheme is shown to exhibit oscillatory behaviour and a resemblance to the CO+O 2 kinetic scheme, where many successive glows have been observed, is pointed out.

LanguageEnglish
Pages1118-1126
Number of pages9
JournalTransactions of the Faraday Society
Volume66
DOIs
Publication statusPublished - 1970
Externally publishedYes

Fingerprint

Carbon Monoxide
Explosions
Heating
Kinetics
explosions
interactions
heating
kinetics
Hot Temperature

Cite this

@article{a42049fc281e4c94b329539d4ffcc21d,
title = "Theory of branching reactions with chain interaction",
abstract = "A number of branching schemes involving quadratic interactions is examined using the methods of non-linear stability theory. A critical value for the branching factor is derived exactly for a chain thermal explosion involving radical-radical termination and self-heating. A self-inhibited branching scheme is shown to exhibit oscillatory behaviour and a resemblance to the CO+O 2 kinetic scheme, where many successive glows have been observed, is pointed out.",
author = "Gray, {B. F.}",
year = "1970",
doi = "10.1039/TF9706601118",
language = "English",
volume = "66",
pages = "1118--1126",
journal = "Transactions of the Faraday Society",
issn = "0014-7672",
publisher = "Faraday Division of the Chemical Society",

}

Theory of branching reactions with chain interaction. / Gray, B. F.

In: Transactions of the Faraday Society, Vol. 66, 1970, p. 1118-1126.

Research output: Contribution to journalArticleResearchpeer-review

TY - JOUR

T1 - Theory of branching reactions with chain interaction

AU - Gray, B. F.

PY - 1970

Y1 - 1970

N2 - A number of branching schemes involving quadratic interactions is examined using the methods of non-linear stability theory. A critical value for the branching factor is derived exactly for a chain thermal explosion involving radical-radical termination and self-heating. A self-inhibited branching scheme is shown to exhibit oscillatory behaviour and a resemblance to the CO+O 2 kinetic scheme, where many successive glows have been observed, is pointed out.

AB - A number of branching schemes involving quadratic interactions is examined using the methods of non-linear stability theory. A critical value for the branching factor is derived exactly for a chain thermal explosion involving radical-radical termination and self-heating. A self-inhibited branching scheme is shown to exhibit oscillatory behaviour and a resemblance to the CO+O 2 kinetic scheme, where many successive glows have been observed, is pointed out.

UR - http://www.scopus.com/inward/record.url?scp=37049118976&partnerID=8YFLogxK

U2 - 10.1039/TF9706601118

DO - 10.1039/TF9706601118

M3 - Article

VL - 66

SP - 1118

EP - 1126

JO - Transactions of the Faraday Society

T2 - Transactions of the Faraday Society

JF - Transactions of the Faraday Society

SN - 0014-7672

ER -