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JOURNALS // Teplofizika vysokikh temperatur // Archive

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

This article is cited in 1 paper

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.

UDC: 536.242

Received: 12.03.2019
Revised: 15.05.2019
Accepted: 16.05.2019

DOI: 10.1134/S0040364419050168


 English version:
High Temperature, 2019, 57:5, 681–693

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