Development of an Analytical Model to Determine the Heat Fluxes to a Structural Element Due to a Travelling Fire

Marion Charlier, Jean-Marc Franssen, Fabien Dumont, Ali Nadjai, Olivier Vassart

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)
79 Downloads (Pure)


The term “travelling fire” is used to label fires which burn locally and move across the floor over a period of time in large compartments. Through experimental and numerical campaigns and while observing the tragic travelling fire events, it became clear that such fires imply a transient heating of the surrounding structure. The necessity to better characterize the thermal impact generated on the structure by a travelling fire motivated the development of an analytical model allowing to capture, in a simple manner, the multidimensional transient heating of a structure considering the effect of the ventilation. This paper first presents the basic assumptions of a new analytical model which is based on the virtual solid flame concept; a comparison of the steel temperatures measured during a travelling fire test in a steel-framed building with the ones obtained analytically is then presented. The limitations inherent to the analyticity of the model are also discussed. This paper suggests that the developed analytical model can allow for both an acceptable representation of the travelling fire in terms of fire spread and steel temperatures while not being computationally demanding, making it potentially desirable for pre-design.
Original languageEnglish
Article number9263
JournalApplied Sciences
Issue number19
Early online date6 Oct 2021
Publication statusPublished (in print/issue) - 6 Oct 2021

Bibliographical note

Funding Information:
Funding: This work was carried out in the frame of the “TRAFIR” project with funding from the Research Fund for Coal and Steel (grant N◦754198).

Publisher Copyright:
© 2021 by the authors. Licensee MDPI, Basel, Switzerland.


  • travelling fire
  • analytical model
  • steel structures
  • heat fluxes
  • structural fire engineering
  • Analytical model
  • Heat fluxes
  • Travelling fire
  • Steel structures
  • Structural fire engineering


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