Construction of polar fronts of reactions in gas-air flows of mine workings near the centers of self-heating

Abstract

Abstract Gas and thermodynamic phenomena often occur during the operation of coal plants, especially at deep horizons. These are sudden emissions of coal and gas, deflagration and detonation processes in gas and dust-gas-air mixtures that generate explosions and shock waves in the atmosphere of mining operations, which are complex movements of a continuous medium containing strong rips. The peculiarity of these movements is that for their theoretical study, it is necessary to take into account not only the fundamental laws of continuum mechanics, but also the basic provisions of thermodynamics and thermophysics. This article considers a mathematical model of a stationary oblique reaction front based on the laws of conservation of mass, momentum, and energy, assuming that the gas-air flow in which the reaction occurs is an ideal gas whose flow is stationary. Formulas are obtained and polars of reaction fronts are constructed, both in supersonic and subsonic gas-air flows in the atmosphere of mine workings. Based on the analysis of the constructed polars, a number of regularities of reactions in oblique fronts at different Mach and Damkeler numbers have been established.