# Mathematical modeling of the heat treatment and combustion of a coal particle. III. Volatile escape stage

• Kh. Enkhjargal
• V. V. Salomatov
Article

The present paper is a continuation of previous publications of the authors in this journal in which two phases of the multistage process of combustion of a coal particle were considered in detail with the help of mathematical modeling: its radiation-convection heating and drying. In the present work, the escape dynamics of volatiles is investigated. The physico-mathematical model of the thermodestruction of an individual coal particle with a dominant influence of endothermal effects has been formulated. Approximate-analytical solutions of this model that are of paramount importance for detailed analysis of the influence of the physical and regime parameters on the escape dynamics of volatiles have been found. The results obtained form the basis for engineering calculations of the volatile escape stage and can be used successfully in the search for effective regimes of burning of various solid fuels, in particular, Shivé-Ovoos coal of Mongolia.

## Keywords

coal combustion heating drying burning coke residue mathematical model evaporation

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