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Abstract
The analysis of the results of global research on advanced methods of heat treatment of materials in various technical fields is given. High-intensity sintering has been found to have a number of advantages, such as reduced economic, energy and environmental costs. When sintering dielectric materials as the basis of technical ceramics, it is promising to use the energy of the microwave field. High heating rates lead not only to significant energy savings and reduction of process time, but also allow to obtain products with finely dispersed and defect-free microstructure and improved functional properties. It is claimed that the rate of heating by microwave radiation can be significantly higher compared to heating in traditional ovens. Determination of the heating rate and temperature during ultrafast high-temperature sintering (UHS) is an urgent task, the solution of which is facilitated by reliable mathematical models. The need to define correct mathematical models of thermal conductivity for conditions of high-intensity heating of the material is emphasized. An analysis of parabolic and hyperbolic heat conduction equations was carried out, and it was established that under the conditions of microwave sintering of dielectric materials, there is no need to take into account the end of the heat propagation speed, since the heating speed is lower than the limiting speed. It is shown that for a time significantly longer than the relaxation time, the solution does not differ from the classical heat conduction equation based on the parabolic equation. The results of variational calculations of the heating of a dense layer of silicon carbide powder in a microwave field are presented. An analysis of the influence of heating duration, heat transfer coefficient, specific power of internal heat sources, and layer thickness on the temperature of the material was carried out
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