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TVT, 2019, Volume 57, Issue 5, Pages 790–792 (Mi tvt11122)  

Short Communications

Analytical calculation of non-stationary temperature field of a flat body with variable thermal conductivity

Yu. V. Vidin, V. S. Zlobin

Siberian Federal University, Krasnoyarsk

Abstract: Analytical formulas describing the non-stationary temperature field in inhomogeneous structures are obtained. In practice, such structures are most often multilayer, which makes it difficult to obtain a mathematically acceptable solution for practical calculations. A feature of this problem is the significant dependence of thermal conductivity on spatial coordinate. In the case where this dependence is exponential, it is possible to obtain a rigorous analytical solution.

DOI: https://doi.org/10.1134/S0040364419050193

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English version:
High Temperature, 2019, 57:5, 765–767

UDC: 536.24
Received: 24.10.2018
Revised: 11.03.2019
Accepted:27.03.2019

Citation: Yu. V. Vidin, V. S. Zlobin, “Analytical calculation of non-stationary temperature field of a flat body with variable thermal conductivity”, TVT, 57:5 (2019), 790–792; High Temperature, 57:5 (2019), 765–767

Citation in format AMSBIB
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\by Yu.~V.~Vidin, V.~S.~Zlobin
\paper Analytical calculation of non-stationary temperature field of a flat body with variable thermal conductivity
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\vol 57
\issue 5
\pages 790--792
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\crossref{https://doi.org/10.1134/S0040364419050193}
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\transl
\jour High Temperature
\yr 2019
\vol 57
\issue 5
\pages 765--767
\crossref{https://doi.org/10.1134/S0018151X19050195}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85076526244}


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