Dynamics of vertical fire spread

D. A. Fidler, A. A. Lacey

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)1-27
JournalIMA Journal of Applied Mathematics
Volume78
Issue number3
Early online date5 Jan 2012
DOIs
Publication statusPublished - 2013

Fingerprint

flames
heat flux
flammable gases
traveling waves
pyrolysis
extinction
propagation

Keywords

  • fire spread
  • integro-differential equations
  • linear stability

Cite this

Fidler, D. A. ; Lacey, A. A. / Dynamics of vertical fire spread. In: IMA Journal of Applied Mathematics. 2013 ; Vol. 78, No. 3. pp. 1-27.
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Dynamics of vertical fire spread. / Fidler, D. A.; Lacey, A. A.

In: IMA Journal of Applied Mathematics, Vol. 78, No. 3, 2013, p. 1-27.

Research output: Contribution to journalArticle

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T1 - Dynamics of vertical fire spread

AU - Fidler, D. A.

AU - Lacey, A. A.

PY - 2013

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N2 - 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.

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

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DO - 10.1093/imamat/hxr067

M3 - Article

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JO - IMA Journal of Applied Mathematics

JF - IMA Journal of Applied Mathematics

SN - 0272-4960

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