We have carried out a computational investigation of the interrelated processes of heat and mass transfer, exothermal (crystallization) and endothermal (melting and evaporation) phase transitions, and chemical reactions resulting from ignition of a gel-like condensed substance. The dependence of the main integral characteristic of the process — the ignition delay time — on the temperature of the local heating source has been established. Limiting ignition conditions have been revealed. The position of the zone of the leading oxidation reaction relative to the interface between the heated particle and the fuel has been determined. A comparison has been made between the ignition conditions of condensed substances in different aggregate states under local heating.
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