Effect of material mass flows on the ignition of condensed systems containing solid-phase reaction products

We consider the problem of ignition of a preheated metallic wire covered with a layer of reagent with a low heat conductivity. Solutions are derived both by numerical and approximate analytical methods. An analysis is presented for the dependence of the critical ignition conditions on the reagent's Stefan flow and the heat release. The degeneration during the reaction of the explosive nature of the ignition related to a change in the effective heat release coefficient is described. Various criteria for defining the critical conditions are discussed.