Abstract
The simple theory for the prediction of criticality in thermal ignition problems, which was based on a step-function reaction rate approximation and presented in a previous paper, is here applied to problems in which temperature is a function of more than one space variable. Boundary conditions corresponding to both fixed temperature and to surface cooling are considered. Results for dimensionless parameters of Frank-Kamenetskii type again agree well with those based on more realistic reaction-rate assumptions where these are available.