On a simulation of soot formation under diffusion combustion of hydrocarbon fuels

Author:

Galanin Mikhail Pavlovich1ORCID,Isaev Alexander Vasilievich2,Konev Stanislav Andreevich1ORCID

Affiliation:

1. Keldysh Institute of Applied Mathematics RAS

2. A.V.Topchiev Institute of Petrochemical Synthesis, RAS (TIPS RAS)

Abstract

An approach to mathematical modeling of soot particles formation and particles growth under diffusion combustion of hydrocarbon fuel is presented. The process is described with a chain of carbon transitions between different selected states. The stiff system of Kolmogorov ordinary differential equations (ODEs) is used to simulate the process. The solution of the system represents the probability of carbon presence in the selected states.

Publisher

Keldysh Institute of Applied Mathematics

Subject

General Medicine

Reference22 articles.

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3. Гейдон А.Г., Вольфгард Х.Г. Пламя, его структура, излучение и температура. М.: Металлургиздат. 1959. 333 с.

4. Wagner H. Soot formation — an overview //Diegla D.C., Smith G.W. (eds.) Particulate Carbon. Boston, MA: Springer. 1981. pp. 1–29. DOI:10.1007/978-1-4757-6137-5_1

5. Prado G., Lahaye J. Phisical Aspects of Nucleation and Growth of Soot Particles //Diegla D.C., Smith G.W. (eds.) Particulate Carbon. Boston, MA: Springer. 1981. pp. 143–175. DOI:10.1007/978-1-4757-6137-5_6

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1. B-series for complete (m,k)-method;Keldysh Institute Preprints;2020

2. Hydrocarbon fuels combustion simulation with EPIRK4(3) method;Keldysh Institute Preprints;2020

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