Determination of Temperature Dependence of Thermophysical Parameters in Solids: Numerical Solution of the Problem
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RETICAL AND MATHEMATICAL PHYSICS
Determination of Temperature Dependence of Thermophysical Parameters in Solids: Numerical Solution of the Problem A. A. Obukhova,b,*, T. A. Novikovaa,c, V. G. Lebedeva,b,c, V. I. Lad’yanovb, and A. V. Obukhova a AO
b Udmurt
Research and Production Association MKM, Izhevsk, 426058 Russia Federal Research Center MFM, Ural Branch, Russian Academy of Sciences, Izhevsk, 426067 Russia c Udmurt State University, Izhevsk, 426034 Russia *e-mail: [email protected] Received February 12, 2020; revised April 30, 2020; accepted May 3, 2020
Abstract—Two approaches one presented to determine the thermophysical properties of materials. Necessary experimental data on thermal curves have been extracted by simulation modeling of the heat propagation process based on numerically solving the 1D thermal conductivity equation. The thermal conductivity and thermal diffusivity coefficients have been calculated independently using a method suggested in this study. Comparing our results with data from simulation modeling makes it possible to estimate the calculation accuracy. The suggested method provides a better qualitative and quantitative insight into the thermophysical properties of materials. DOI: 10.1134/S106378422012018X
INTRODUCTION The development of advanced technologies is intimately related with devising novel materials. Their use in different areas of application is frequently due to their unique thermophysical characteristics. Methods to determine the thermal conductivity coefficient and other thermophysical parameters of materials are subject of hot discussions in the literature. The declared values of these parameters are sometimes subject to doubt, since they may greatly differ in publications. Moreover, relevant data may be completely absent. Also, authors may report incomplete information about materials being developed: data on dispersity, structure, temperature dependences of parameters, etc., may be omitted. A growing diversity of materials leads to the new methods for measuring thermal physical parameters that differ in time and accuracy of measurements, test samples, and temperature ranges [1–7]. In casting technology, a situation may arise in which it becomes necessary to rapidly and effectively determine the thermophysical parameters of a medium. For example, the form in which a molten metal is casted is expendable. On the one hand, a low production cost of such forms, which cuts the price of the final product, is an undeniable advantage. On the other, the thermophysical parameters of materials may vary significantly, what strongly influences the quality of a final product, especially under precision casting. As a rule, the material of the form is a finely dispersed mixture of hard nonconducting particles
with various properties. Therefore, the thermophysical parameters of the form are difficult to predict. Naturally, such materials are applied in more than only casting technology [1]. The aim of this study was to theoretically develop a technique for determining the thermophysical pa
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