The combustion of zirconium in oxygen was simulated using a two-dimensional
finite difference model. The model accounts for heat generation by the oxi
dation reaction and heat loss due to convective and radiative processes. Us
ing geometric considerations along with the heat transfer conditions, the m
odel was utilized to determine the effect of dilution and particle size on
the combustion process. Dilution was examined in regular and random geometr
ies and the results showed a marked influence on the nonlinearity of the wa
ve. The effect of particle size was also examined as a function of the geom
etry of diluent dispersion.