Analytical study of the thermal conductivity processes at ceramic sintering
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Дата
2022
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Анотація
The analytical study of the processes of thermal conductivity at high
intensity heating of dense bodies, similar to clay and plastic materials, was conducted.
The conditions of applicability for the hyperbolic and parabolic equation of thermal
conductivity for the composition of mathematical models of high intensity heating were
explored. It was found that for the small Fourier numbers, the solution of hyperbolic
equation of thermal conductivity makes it possible to determine thickness of the thermal
layer and its change over time. Based on the example of manufacturing technical
ceramics, it was demonstrated that the possible heating rates are considerably below
the boundary rate, within which the velocity of heat propagation may be accepted as
infinitely high. The conclusion was drawn that in the course of construction of
mathematical models for the processes of thermal treatment in the technologies for the
production of technical ceramics and the products similar to them in the intensity of
heating, it is rational to take the thermal conductivity equation of parabolic type as the
basis. The analytical solution, which makes it possible to calculate temperature field
of the semi-restricted array under conditions of microwave heating, was obtained on
the basis of the equation of thermal conductivity with internal heat sources, taking into
consideration heat exchange with the environment. Results of computational
experiment testify to the correctness of the proposed dependency.
Опис
Grechanovskaya M. Analytical study of the thermal conductivity processes at ceramic sintering / M. Grechanovskaya ; advisors K. Heorhiiesh, N. Volgusheva // Black Sea Science 2022 : proc. of the Intern. Competition of Student Scientific Works / Odesa National University of Technology ; eds. B. Yegorov, M. Mardar [et al.]. – Odessa : ONUT, 2022. – P. 540–552 : fig. – Ref.: 22 tit.
Ключові слова
thermal conductivity, parabolic type, hyperbolic type, velocity of heat propagation, microwave heating