Abstract
The effect of the geometric shape of the samples on the uncertainty in measurements of the thermal conductivity coefficient of materials by the laser-flash method is investigated. A mathematical model simulating the process of measuring the thermal conductivity of samples made of graphite, Mg2Si0.4Sn0.6, and bismuth telluride by the laser-flash method is created in the Comsol Multiphysics software. Cylindrical samples with plane-parallel sides, samples shaped as a truncated cylinder, as well as parallelepiped-shaped samples with a square base are investigated. It is shown that the uncertainty in the measurements does not exceed 2% for the samples with plane-parallel sides and sizes up to 12.7 mm. For the samples shaped as a truncated cylinder with a diameter of 3 mm and at an inclination angle of φ = 1.5°, the measurement uncertainty does not exceed 3%. With increasing sample diameter and angle φ, the measurement uncertainty increases significantly.
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REFERENCES
H. J. Goldsmid, Introduction to Thermoelectricity, 2nd ed. (Springer, Berlin, Heidelberg, 2016).
K. A. Borup, J. de Boor, H. Wang, F. Drymiotis, F. Gascoin, X. Shi, L. Chen, M. I. Fedorov, E. Müller, B. B. Iversena, and G. J. Snyder, Energy Environ. Sci. 8, 423 (2015).
T. M. Tritt and D. Weston, Thermal Conductivity: Theory, Properties, and Applications, Ed. by T. M. Tritt (Kluwer, Plenum, New York, 2004).
D. Zhao, X. Qian, X. Gu, S. A. Jajja, and R. Yang, J. Electron. Packag. 138, 040802 (2016).
W. J. Parker, R. J. Jenkins, C. P. Butler, and G. L. Abbott, J. Appl. Phys. 32, 1679 (1961).
L. Vozár and W. Hohenauer, Int. J. Thermophys. 26, 1899 (2005).
N. P. Gorbachuk, A. S. Bolgar, V. R. Sidorko, and L. V. Goncharuk, Powder Metall. Met. Ceram. 43, 284 (2004).
M. W. Haynes, CRC Handbook of Chemistry and Physics, 92nd ed. (CRC, Boca Raton, FL, 2011).
O. Madelung, U. Rössler, and M. Schulz, Non-Tetrahedrally Bonded Elements and Binary Compounds I, Landolt–Börnstein, Group III Condensed Matter (Numerical Data and Functional Relationships in Science and Technology) (Springer, Berlin, Heidelberg, 2018).
S. V. Shulepov, Physics of Carbon and Graphite Materials (Metallurgiya, Moscow, 1972) [in Russian].
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Asach, A.V., Isachenko, G.N., Novotelnova, A.V. et al. Effect of Sample-Shape Imperfection on Uncertainty in Measurements of the Thermal-Conductivity by the Laser-Flash Method. Semiconductors 53, 723–726 (2019). https://doi.org/10.1134/S1063782619060022
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DOI: https://doi.org/10.1134/S1063782619060022