×

zbMATH — the first resource for mathematics

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
PDF BibTeX XML Cite
Full Text: DOI EuDML