Je. Truscott et al., THE EFFECT OF DIFFUSION ON THE AUTOIGNITION OF COMBUSTIBLE FLUIDS IN INSULATION MATERIALS, IMA journal of applied mathematics, 57(3), 1996, pp. 257-271
The autoignition of flammable fluids in lagging materials is a major p
roblem faced by the process industry. It is important to ascertain whe
ther such a system is safe or if it will undergo ignition for a partic
ular set of conditions. In this paper, a three-component model of this
system is considered which includes exothermic oxidation and endother
mic evaporation processes. By assuming a slow rate of consumption of f
uel and oxygen, the behaviour of the full system can be approximated a
nd the safe and dangerous regions of parameter space can be identified
. The effect of changes in parameters such as the size and the endothe
rmicity are discussed in detail.