Combustion of Fine Dispersed Dust-Gas-Air Mixtures in Underground Excavations
S. V. CHERDANTSEV, HI UN LI, YU. M. FILATOV, D. V. BOTVENKO, P. A. SHLAPAKOV, V. V. KOLYKHALOV
VostNII Science Center for Safety in the Mining Industry, Kemerovo, 650002 Russia
Keywords: горные выработки, мелкодисперсные пылегазовоздушные смеси, уравнение теплопроводности, зона горения, конвекция, закон Аррениуса, кинетическая область, собственные значения и собственные функции, underground excavations, dine dispersed dust-gas-air mixture, heat conduction equation, combustion zone, convection, Arrhenius equation, kinetic domain, eigen values and eigen functions
Abstract
Stationary-state combustion of fine dispersed dust-gas-air mixtures in underground excavations is analyzed. Under the assumption that the single source of heat emission is the carbon oxidation reaction, the second-order nonlinear differential equation is obtained for the determination of temperature and the initial conditions are formulated. The analysis of the solution shows that there exist critical values of the dust-gas-air mixture flow velocity, and the excess over these critical values may result in the mixture combustion. The cross section of an underground excavation is related with the temperature reached in this cross section.
|
