Abstract
We propose a new statement and a numerical solution of the problem on ignition of a peat bed as a result of the action of the nucleation site of a low fire on the basis of the mathematical model of a porous reactive medium. It has been obtained that at moderate temperatures (T 2 ≤ 750 K) the smoldering of the original reactant is determined by the processes of heat and mass exchange with the nucleation site of the forest fire, drying, and pyrolysis of peat, as well as by the oxidation reaction of carbon oxide, the peat height, and the thickness of the water stratum under its bed.
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