Mathematical model for soot formation under toluol diffusion combustion

An approach to mathematical modeling of soot particles formation and particles growth under diffusion combustion of hydrocarbon fuel is presented. The chain of transitions for hydrocarbon fuel is described with Markov process with finite number of states. The stiff system of Kolmogorov ordinary differential equations (ODEs) models the Markov process. Obtained numerical solution describes the soot fractions concentrations in the diffusion flame. Discrete distribution of soot fractions concentrations at different moments is constructed. Least square method is used to approximate discrete distributions with Weibull distribution. Obtained results are in good compliance with experimental data.