Combustion wave propagation in a carbon dust/gas mixture is studied, t
aking into account both radiative and conductive heat transfer. A two-
temperature mathematical model is suggested for the analysis of the no
nstationary processes occurring in exothermic reactions during propaga
tion of the wave front in a carbon dust/gas mixture. Temperatures of t
he particles and gas are assumed to be different and radiative heat tr
ansfer is described by a diffusion approximation. Particle size is var
ied in the range of 10 to 200 mu m In the absence of heat losses, tran
sition from the slow conductive combustion to the fast radiative one i
s explosive in nature. In such a case, both the combustion wave veloci
ty and the width of the reaction zone are enhanced by 2-3 orders of ma
gnitude. In the presence of heat losses, the behavior of the flame fro
nt propagation is changed drastically. Conductive heat losses may resu
lt in nonuniqueness of combustion. Depending on the initiation conditi
ons, either a slow, or fast combustion wave may be expected to be gene
rated in the system. Radiative heat losses lead to diminished combusti
on wave velocities, and marginally, to the transition from fast to slo
w combustion. Some aspects of pulsating combustion have also been cons
idered, such as the oscillations of combustion wave velocity and parti
cle and gas temperatures. Instability development is studied with the
suggested model.