Abstract
Mathematical model of forest fire was based on an analysis of known experimental data and using concept and methods from reactive media mechanics. In this paper the assignment and theoretical investigations of the problems of crown forest fire spread in windy condition were carried out. In this context, a study—mathematical modeling—of the conditions of forest fire spreading that would make it possible to obtain a detailed picture of the change in the temperature and component concentration fields with time, and determine as well as the limiting condition of fire propagation in forest with fire break.
Highlights
A great deal of work has been done on the theoretical problem of crown forest fire initiation
A mathematical model of forest fires was obtained by Grishin (1997) based on an analysis of known and original experimental data; Konev (1977), and using concepts and methods from reactive media mechanics
The boundary-value problem is solved numerically using the method of splitting according to physical processes. It was based on numerical solution of two dimensional Reynolds equations for the description of turbulent flow taking into account for diffusion equations chemical components and equations of energy conservation for gaseous and condensed phases, volume of fraction of condensed phase
Summary
A great deal of work has been done on the theoretical problem of crown forest fire initiation. The boundary-value problem is solved numerically using the method of splitting according to physical processes It was based on numerical solution of two dimensional Reynolds equations for the description of turbulent flow taking into account for diffusion equations chemical components and equations of energy conservation for gaseous and condensed phases, volume of fraction of condensed phase (dry organic substance, moisture, condensed pyrolysis products, mineral part of forest fuel).
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