Nonlinear L∞ identifications for CH4-air combustion

A numerical scheme is proposed to predict complex chemical reactions aimed at obtaining the moles of chemical products, reaction temperature and mixture density as a result of complex chemical reaction, First, by treating the calculation of complex chemical reaction as a typical identification problem, a nonlinear L_∞ minimization technique can be used to predict the moles of dominant species in the chemical reaction by taking into account the conservation of energy, atoms, and ions in the reaction. Lastly the predicted results are treated as the accurate set of initial guesses for a numerical gradient method to extract the exact thermodynamic states or the state relationships of the chemical reaction. The calculated state relationships are then employed to analyse the structure of a turbulent diffusion flame by injecting methane gas at 300°K into open air at 700°K