Temperature Dependence of Thermal Conductivity and Physical Properties of Combustion Synthesis of Intermetallic Compound

The paper proposes a two-dimensional mathematical model of the combustion synthesis of chemical compounds and alloys in the conditions of thermal explosion during the induction heating of the powder compact in a steel cylindrical mold. A set of chemical reactions is described by a reaction network with effective kinetic parameters. The kinetic aspect concerns the possible strong retardation of the reaction network with the accumulation of the synthesis product. The proposed model allows investigating macroscopic physical processes during the synthesis of the intermetallic compound in changing the heating rate and reactor dimensions. A comparative analysis is given to the constant thermal conductivity and thermal conductivity affected by temperature. Consideration of the temperature dependence of thermal conductivity in the proposed model, can lead to a quantitative change in the delay time of combustion and a qualitative change in the temperature distribution in the cylindrical mold volume.