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An alternative way for the ignition times for solids with radiation absorption in‐depth by simple asymptotic solutions
Author(s) -
Delichatsios Michael A.,
Zhang Jianping
Publication year - 2011
Publication title -
fire and materials
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.482
H-Index - 58
eISSN - 1099-1018
pISSN - 0308-0501
DOI - 10.1002/fam.1084
Subject(s) - ignition system , absorption (acoustics) , simple (philosophy) , mechanics , thermal conduction , radiation , attenuation coefficient , thermodynamics , minimum ignition energy , materials science , thermal radiation , energy (signal processing) , thermal , chemistry , mathematics , optics , physics , composite material , statistics , philosophy , epistemology
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.