A discrete dynamical model for flame spread over combustible flat solid surfaces subject to pyrolysis with charring: An application example to upward flame spread

Djebar Baroudi (Corresponding Author)

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9 Citations (Scopus)


A discrete dynamical approach for modelling the early phase of the spread of a flame over a pyrolysing surface of a charring solid is developed. The discrete dynamical model (DDM) consists of a two-dimensional upward spread model coupled with a one-dimensional pyrolysis submodel. One numerical example of applying the DDM to the upward flame spread on a wooden board is provided. The goal of this numerical simulation was to investigate the possibility that the model could describe the transient behaviour of the spread. A qualitative comparison with one test from the literature is performed. In the numerical example, the following features are qualitatively captured: evolution of the pyrolysing area on the surface, transient pyrolysis depth, transient ‘flame spread patterns’ (two-dimensional contour maps of mass flux of gasified fuel, of surface temperature and of pyrolysis depth) and the total mass loss rate.
Original languageEnglish
Pages (from-to)53-84
JournalFire Safety Journal
Issue number1
Publication statusPublished - 2003
MoE publication typeA1 Journal article-refereed



  • pyrolysis with charring
  • upward flame spread
  • discrete dynamical model
  • mass loss rate

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