A model of turbulent combustion and ignition of polydisperse dust-air mixtu
res is developed. The mathematical model allows for interactions between th
e gas and dust phases and combines the deterministic and stochastic approac
hes to their description. The equations governing particle motion include r
andom turbulent fluctuations of the gas flow. The models of phase transitio
ns and chemical reactions take into account thermal destruction of dust par
ticles, sublimation of volatiles, chemical reactions in the gas phase, and
heterogeneous carbon oxidation by O-2 and CO2 which depends both on diffusi
on and kinetic parameters. The model was compared with experimental data on
combustion of organic dust in closed vessels at various initial turbulence
intensities. The suggested mathematical model permits the peculiarities of
ignition and burning of polydisperse organic dusts and the effect of flow
inhomogeneity on the ignition limits to be studied.