Numerical simulation of turbulent gaseous combustion in axially symmetric combustion chambers

A mathematical model and numerical algorithm are developed for the combustion of gaseous fuels in two dimensional turbulent flows. The model includes a system of basic differential conservation equations for the gaseous phase, supplemented by equations for the energy and dissipation rate of turbulent fluctuations for calculating the turbulent diffusion coefficient, as well as a mixing function for initially unmixed flows and its dispersion for describing the effect of turbulence on the concentration of the components, on the temperature, and on chemical reaction rates in terms of a probabilistic approach with a probability density function whose first moment is the mixing function and whose second moment is its dispersion. The calculations are compared with experimental data. The model is found to be effective for thermodynamic equilibrium and for finite kinetics. The results are in satisfactory agreement with the experimental data.