Skip to main content
Log in

Determination of Temperature Dependence of Thermophysical Parameters in Solids: Numerical Solution of the Problem

  • THEORETICAL AND MATHEMATICAL PHYSICS
  • Published:
Technical Physics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.

Similar content being viewed by others

REFERENCES

  1. N. Yüksel, The Review of Some Commonly Used Methods and Techniques to Measure the Thermal Conductivity of Insulation Materials. https://doi.org/10.5772/64157

  2. A. A. Samarskii and P. N. Vabishchevich, Numerical Methods for Solving Inverse Problems in Mathematical Physics (Walter de Gruyter GmbH, Berlin, 2007). http://samarskii.ru/books/book2007.pdf. V. S. Zarubin, Mathematical Modeling in Engineering (Mosk. Gos. Tekh. Univ. im. N. E. Bauman, Moscow, 2001) [in Russian].

  3. O. M. Alifanov, Identification of Heat-Exchange Processes of Aircraft (Introduction to the Theory of Inverse Heat-Conduction Problems) (Mashinostroenie, Moscow, 1979) [in Russian].

    Google Scholar 

  4. V. F. Formalev and S. A. Kolesnik, High Temp. 55 (4), 549 (2017). https://doi.org/10.1134/S0018151X1704006X

    Article  Google Scholar 

  5. V. F. Formalev and S. A. Kolesnik, High Temp. 51 (6), 795 (2013). https://doi.org/10.1134/S0018151X13050064

    Article  Google Scholar 

  6. V. F. Formalev and S. A. Kolesnik, Int. J. Heat Mass Transfer 123, 994 (2018). https://doi.org/10.1016/j.ijheatmasstransfer.2018.03.014

    Article  Google Scholar 

  7. N. Yüksel, A. Avci, and M. Kiliç, Heat Mass Transfer 48, 1569 (2012). https://doi.org/10.1007/s00231-012-1001-2

    Article  ADS  Google Scholar 

  8. Saylor Academy, Thermal Conductivity (2016). http://www.saylor.org/site/wp.content/uploads/2011/04/Thermal_conductivity.pdf (Accessed 2019.12.8).

  9. K123 of the Department of Materials Engineering and Chemistry, Chap. 16: Determination of Thermal Conductivity (2016). http://tpm.fsv.cvut.cz/student/documents/files/BUM1/Chapter16.pdf (Accessed 2019.12.8).

  10. Thermal Properties of Food and Agricultural Materials, Ed. by N. N. Mohesnin, 1st ed. (Gordon and Breach, New York, 1980). https://doi.org/10.2307/2530323

  11. Springer Handbook of Materials Measurement Method, Ed. by H. Czichos, T. Saito, and L. E. Smith, 1st ed. (Springer Science & Business Media, New York, 2006). https://doi.org/10.1007/978.3.540.30300.8

  12. http://magma.maths.usyd.edu.au/magma/ (from April 15, 2020); https://www.esi-group.com/ (from April 15, 2020); http://lvmflow.ru/ (from April 15, 2020); https://www.novacast.se/ (from April 15, 2020)

  13. D. A. Anderson, J. C. Tannehill, and R. H. Pletcher, Computational Fluid Mechanics and Heat Transfer (McGraw-Hill, New York, 1984).

    MATH  Google Scholar 

  14. A. A. Samarskii, Theory of Difference Schemes (Marcel Dekker, New York, 2001). http://samarskii.ru/books/book2001_2.pdf

    Book  Google Scholar 

  15. G.A. Baker, Jr. and P.R. Graves-Morris, Padé Approximants (Addison-Wesley, Reading, Mass., 1981).

    MATH  Google Scholar 

Download references

Funding

This study was supported by the Russian Foundation for Basic Research and the Government of the Udmurt Republic, project no. 18-42-180002.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. A. Obukhov.

Ethics declarations

The authors declare that they have no conflicts of interest.

Additional information

Translated by V. Isaakyan

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Obukhov, A.A., Novikova, T.A., Lebedev, V.G. et al. Determination of Temperature Dependence of Thermophysical Parameters in Solids: Numerical Solution of the Problem. Tech. Phys. 65, 1922–1929 (2020). https://doi.org/10.1134/S106378422012018X

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S106378422012018X

Navigation