Dynamics of vertical fire spread

D. A. Fidler; A. A. Lacey

doi:10.1093/imamat/hxr067

Dynamics of vertical fire spread

D. A. Fidler, A. A. Lacey

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

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Abstract

A model for the propagation of a flame up a vertical combustible wall is presented. The model is based on the assumption of a uniform heat flux from the flame into the wall. The size of the flame and the heat flux are determined by the rate of release of flammable gases through pyrolysis within the wall. Some analytical and numerical solutions are obtained, with just one simple class of models giving rise to a great range of flame behaviours; from extinction to accelerating waves, and from pulsating travelling waves to irregularly varying flames. Also some possible modifications of the model are discussed.

Original language	English
Pages (from-to)	1-27
Journal	IMA Journal of Applied Mathematics
Volume	78
Issue number	3
Early online date	5 Jan 2012
DOIs	https://doi.org/10.1093/imamat/hxr067
Publication status	Published - 2013

Keywords

fire spread
integro-differential equations
linear stability

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10.1093/imamat/hxr067

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title = "Dynamics of vertical fire spread",

abstract = "A model for the propagation of a flame up a vertical combustible wall is presented. The model is based on the assumption of a uniform heat flux from the flame into the wall. The size of the flame and the heat flux are determined by the rate of release of flammable gases through pyrolysis within the wall. Some analytical and numerical solutions are obtained, with just one simple class of models giving rise to a great range of flame behaviours; from extinction to accelerating waves, and from pulsating travelling waves to irregularly varying flames. Also some possible modifications of the model are discussed.",

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AB - A model for the propagation of a flame up a vertical combustible wall is presented. The model is based on the assumption of a uniform heat flux from the flame into the wall. The size of the flame and the heat flux are determined by the rate of release of flammable gases through pyrolysis within the wall. Some analytical and numerical solutions are obtained, with just one simple class of models giving rise to a great range of flame behaviours; from extinction to accelerating waves, and from pulsating travelling waves to irregularly varying flames. Also some possible modifications of the model are discussed.

KW - fire spread

KW - integro-differential equations

KW - linear stability

U2 - 10.1093/imamat/hxr067

DO - 10.1093/imamat/hxr067

M3 - Article

SN - 0272-4960

VL - 78

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EP - 27

JO - IMA Journal of Applied Mathematics

JF - IMA Journal of Applied Mathematics

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ER -

Dynamics of vertical fire spread

Abstract

Keywords

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