Mathematical Modeling of Forest Fuel Ignition by the Heated Up to High Temperatures Particle

Abstract

This chapter provides information on the physical and mathematical models of forest fuel layer ignition by the metal or non-metal particle heated up to high temperatures. Mathematically, the forest fuel layer ignition is described by a system of equations of heat conduction and diffusion with the corresponding initial and boundary conditions. Scenario modeling of forest fuel layer ignition was carried out in the temperature range characteristic to the occurrence of forest fires. A scenario of a catastrophic forest fire danger is considered when there is no moisture in the forest fuel layer.