Abstract

Using the method of mathematical modeling, the process of spreading forest fires in the presence of fire breaks and barriers consisting of hardwood trees was studied. Mathematically, this problem is reduced to solving the Reynolds equations for turbulent flow, taking into account chemical reactions. To obtain a discrete analogue, the control volume method was used. Using numerical calculations, we obtained the distributions of the fields of velocity, temperature, oxygen concentrations, volatile products of pyrolysis, combustion and volume fractions of the condensed phase. The model allowed us to obtain contours of the spread of forest fires, which depend on the stock and type of forest combustible materials, moisture content, velocity and direction of wind, etc. It was also possible to determine the dependence of the sizes of fire breaks and barriers on the above parameters, at which the crown fire stops spreading.

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