A thermal explosion model

摘要

In a thermal explosive reaction, the rate of reaction varies rapidly with temperature and the moment of explosion occurs at some finite temperature vd. The reaction rate usually follows the Arrhenius law over a certain range of temperature [v0, v1] with v1 ⪡ vd. A quenching model is discussed here to account for the thermal explosion. This model gives a better approximation than the blow-up model for the Arrhenius law over the range of temperature [v0, v1] and describes the rate of the thermal explosive reaction beyond v1 to vd.