Theory of branching reactions with chain interaction

B. F. Gray

doi:10.1039/TF9706601118

Theory of branching reactions with chain interaction

B. F. Gray^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1118-1126
Number of pages	9
Journal	Transactions of the Faraday Society
Volume	66
DOIs	https://doi.org/10.1039/TF9706601118
Publication status	Published - 1970
Externally published	Yes

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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",

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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.

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U2 - 10.1039/TF9706601118

DO - 10.1039/TF9706601118

M3 - Article

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VL - 66

SP - 1118

EP - 1126

JO - Transactions of the Faraday Society

JF - Transactions of the Faraday Society

ER -

Theory of branching reactions with chain interaction

Abstract

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