An alternative way for the ignition times for solids with radiation absorption in-depth by simple asymptotic solutions

SUMMARY We present a new simplified method to calculate the ignition times when both conduction and in‐depth radiation absorption in an externally heated solid are significant by deriving an integral equation for the surface temperature history. We achieve this by decomposing the problem into two si...

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Bibliographic Details
Published in:Fire and materials 2012-01, Vol.36 (1), p.41-47
Main Authors: Delichatsios, Michael A., Zhang, Jianping
Format: Article
Language:English
Subjects:
Applied sciences
Building technical equipments
Buildings
Buildings. Public works
Computation methods. Tables. Charts
Exact sciences and technology
fire
Fire behavior of materials and structures
Fire protection
ignition
materials
Structural analysis. Stresses
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Summary:SUMMARY We present a new simplified method to calculate the ignition times when both conduction and in‐depth radiation absorption in an externally heated solid are significant by deriving an integral equation for the surface temperature history. We achieve this by decomposing the problem into two simple additive problems and in addition, we also provide asymptotic solutions for the surface temperature history at short and long times. These solutions allow to find the relations between the ignition times at different degrees of in‐depth energy absorption and the relations between the thermal solid parameters and the in‐depth absorption coefficient. In addition, these results are useful in interpreting experimental results on ignition in order to assess when and to what extent in‐depth radiation affects the ignition times. Copyright © 2011 John Wiley & Sons, Ltd.
ISSN:0308-0501
1099-1018
DOI:10.1002/fam.1084