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TVT, 2019, Volume 57, Issue 5, Pages 713–726 (Mi tvt11190)  

Heat and Mass Transfer and Physical Gasdynamics

Temperature fluctuations in a half-space under spatially inhomogeneous heat-transfer conditions

M. I. Supelnyak

Kaluga Branch of Bauman Moscow State Technical University

Abstract: An unsteady two-dimensional heat-conduction problem without initial conditions is considered for a half-space under boundary conditions of the I, II, and III types. It is assumed that the boundary value functions (including heat-transfer coefficient) are periodic functions of time and a spatial variable. Cyclic solutions to the problem are found in the form of double trigonometric Fourier series. The application of the obtained dependences is demonstrated with several specific examples. The conditions under which the quasi-one-dimensional solutions can be used are studied.

Funding Agency Grant Number
Russian Foundation for Basic Research 18-31-00090
This study was supported by the Russian Foundation for Basic Research, project no. 18-31-00090.


DOI: https://doi.org/10.1134/S0040364419050168

Full text: PDF file (892 kB)
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English version:
High Temperature, 2019, 57:5, 681–693

UDC: 536.242
Received: 12.03.2019
Revised: 15.05.2019
Accepted:16.05.2019

Citation: M. I. Supelnyak, “Temperature fluctuations in a half-space under spatially inhomogeneous heat-transfer conditions”, TVT, 57:5 (2019), 713–726; High Temperature, 57:5 (2019), 681–693

Citation in format AMSBIB
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\by M.~I.~Supelnyak
\paper Temperature fluctuations in a half-space under spatially inhomogeneous heat-transfer conditions
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\vol 57
\issue 5
\pages 713--726
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\crossref{https://doi.org/10.1134/S0040364419050168}
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\transl
\jour High Temperature
\yr 2019
\vol 57
\issue 5
\pages 681--693
\crossref{https://doi.org/10.1134/S0018151X1905016X}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85076571034}


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