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Ignition properties of thermally thin plastics: the effectiveness of non-competitive char formation in reducing flammability. (English) Zbl 1043.80003
Summary: The retardancy effect of char formation upon the flammability of thermally thin products is investigated. The char is formed in a single-step non-competitive scheme and is assumed to be thermally stable. The criterion for ignition is that of a critical mass flux of volatiles from the solid into the gas phase. Both steady-state and transient formulations of the model are considered. In the high activation energy limit the critical heat flux efficiency in the steady-state model is proportional to $$c/(1-c)$$, where $$c$$ is the fraction of char formed. In the transient model the efficiency in reducing the maximum heat release rate, average heat release rate, and total heat released is given by $$c$$ and is independent of activation energy and heat flux. The specific application that we have in mind for our model is piloted ignition in the cone calorimeter.
##### MSC:
 80A25 Combustion 80A30 Chemical kinetics in thermodynamics and heat transfer
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