Geodesic
Mathematical model for soot formation under toluol diffusion combustion
Matematičeskoe modelirovanie, Tome 32 (2020) no. 6, pp. 66-80

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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.
Mots-clés : hydrocarbon fuel, diffusion flame
Keywords: dispersed carbon (soot), soot formations, Kolmogorov equations, stiff systems, Rosenbrock methods. 
@article{MM_2020_32_6_a4,
     author = {M. P. Galanin and A. V. Isaev and S. A. Konev},
     title = {Mathematical model for soot formation under toluol diffusion combustion},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {66--80},
     publisher = {mathdoc},
     volume = {32},
     number = {6},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2020_32_6_a4/}
}
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M. P. Galanin; A. V. Isaev; S. A. Konev. Mathematical model for soot formation under toluol diffusion combustion. Matematičeskoe modelirovanie, Tome 32 (2020) no. 6, pp. 66-80. http://geodesic.mathdoc.fr/item/MM_2020_32_6_a4/