DETONATION OF REACTIVE GAS MIXTURES AS PROBLEM OF FOCAL THERMAL EXPLOSION

In order to create a detonation of mine gas, it is necessary to mix the original components in certain proportions, after which even a small thermal heterogeneity can cause an explosion. The ignition of gas-dust-air mixtures in the atmosphere of mine workings is due to the occurrence of exothermic reactions of methane oxidation with air oxygen. The need to ensure safety when working with explosive gas mixtures, such as methane-air mixtures in mines, explosive gas outbursts at work, requires the development of studies on focal thermal explosion. A model of a focal thermal explosion is proposed in the article for describing the detonation of reactive gas mixtures. With the help of asymptotic methods, an analytical solution of such a problem is obtained. As a result, critical conditions are found that determine the time of action, size and power of the ignition source. Parametric study of the model is carried out. On the example of the methane-air mixture, the values of the explosion development time, the time of warming up and the temperature of the source by the end of the warm-up time were obtained, depending on the power of the ignition source.