SIAM Journal on Applied Mathematics
The effects of excessive reactant consumption on the ignition of a combustible solid are introduced through a revised scaling of the heat release constant. Large activation energy asymptotics then yields a new one-parameter integral equation governing the temperature evolution near ignition. Analysis of the integral equation reveals a critical value of the parameter which distinguishes between the cases of ignition and nonignition. © 1987 Society for Industrial and Applied Mathematics
Original Publication Citation
Lasseigne, D. G., & Olmstead, W. E. (1987). Ignition of a combustible solid with reactant consumption. SIAM Journal on Applied Mathematics, 47(2), 332-342. doi:10.1137/014702
Lasseigne, D. Glenn and Olmstead, W. E., "Ignition of a Combustible Solid with Reactant Consumption" (1987). Mathematics & Statistics Faculty Publications. 36.