Ignition of a system of hot spots in the presence of heat transfer throughthe side surface

An asymptotic analysis is used to study the ignition of a reactive cylindri cal body in which, initially, there is a periodic system of hot spots. The effects of the heat transfer through the side surface of the cylinder and t he adjacency of hot spots on the ignition regimes are studied. The solution shows that the critical ignition conditions depend considerably on the hea t-transfer regime. The adjacency of the hot spots leads to finite changes i n the parameters only if they are sufficiently dose to each other. The resu lts obtained for a heat-insulated side surface are compared with known solu tions.