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Technical Brief

Analytical Modeling of Solid Material Ignition Under a Radiant Heat Flux Coming From a Spreading Fire Front

[+] Author and Article Information
A. Lamorlette

Aix-Marseille Université,
CNRS,
Centrale Marseille, M2P2 UMR 7340,
Marseille 13451, France
e-mail: aymeric.lamorlette@univ-amu.fr

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received October 14, 2013; final manuscript received July 16, 2014; published online August 26, 2014. Assoc. Editor: Alexander L. Brown.

J. Thermal Sci. Eng. Appl 6(4), 044501 (Aug 26, 2014) (4 pages) Paper No: TSEA-13-1171; doi: 10.1115/1.4028204 History: Received October 14, 2013; Revised July 16, 2014

This study aims at characterizing ignition of solid targets exposed to spreading fire fronts. In order to model radiant heat fluxes on targets in a realistic way, polynomial heat fluxes are chosen. Analytical solutions for the solid surface temperature evolution regarding different time-varying heat fluxes are discussed for high thermal inertia solids using a mathematical formalism, which allows for the methodology to be extended to the case of low thermal inertia. This formulation also allows calculation of ignition times for more realistic time-dependent fluxes than previous studies on the topic, providing a more general solution to the problem of solid material ignition. Polynomial coefficients are then obtained fitting heat flux coming from absorbing–emitting flames. A characterization of solid material ignition times regarding fire front rate of spread (ROS) is finally performed, showing the need to accurately model heat flux variations in ignition time calculations.

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Figures

Grahic Jump Location
Fig. 1

Absorbing–emitting flames and polynomial fits of the radiant heat flux

Grahic Jump Location
Fig. 2

Ignition time against ROS for the three different flames and reference slope for a linearly time-varying heat flux

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