A finite difference model for the combustion of zirconium in oxygen

The combustion of zirconium in oxygen was simulated using a two-dimensional finite difference model. The model accounts for heat generation by the oxidation reaction and heat loss due to convective and radiative processes. Using geometric considerations along with the heat transfer conditions, the model was utilized to determine the effect of dilution and particle size on the combustion process. Dilution was examined in regular and random geometries and the results showed a marked influence on the nonlinearity of the wave. The effect of particle size was also examined as a function of the geometry of diluent dispersion.