Teplofizika vysokikh temperatur
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Teplofizika vysokikh temperatur, 2021, Volume 59, Issue 2, Pages 212–220
DOI: https://doi.org/10.31857/S0040364421020046
(Mi tvt11409)
 

Heat and Mass Transfer and Physical Gasdynamics

Analytical solutions to models of local nonequilibrium heat transfer

È. M. Kartashov

M. V. Lomonosov Moscow Institute of Fine Chemical Technology
Abstract: A series of boundary-value problems of local nonequilibrium heat transfer is considered in terms of the theory of transient heat conduction for hyperbolic-type equations (wave equations). The mathematical models for the generalized equation are studied simultaneously in Cartesian, cylindrical (radial heat flux), and spherical (central symmetry) coordinate systems. The technique to determine analytical solutions to a broad class of practically important problems of transient heat conduction for canonical bodies (plate, solid cylinder, and solid sphere) and for partially bounded bodies (half-space bounded by a flat surface and spaces with an internal cylindrical cavity and an internal spherical cavity) is developed. The obtained, exact analytical solutions to a series of model problems can be considered as radically new results of analytical thermal physics.
Received: 04.05.2020
Revised: 06.07.2020
Accepted: 14.10.2020
English version:
High Temperature, 2021, Volume 59, Issue 2, Pages 186–194
DOI: https://doi.org/10.1134/S0018151X21020048
Bibliographic databases:
Document Type: Article
UDC: 536.2.001
Language: Russian
Citation: È. M. Kartashov, “Analytical solutions to models of local nonequilibrium heat transfer”, TVT, 59:2 (2021), 212–220; High Temperature, 59:2 (2021), 186–194
Citation in format AMSBIB
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\paper Analytical solutions to models of local nonequilibrium heat transfer
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\issue 2
\pages 212--220
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\transl
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\vol 59
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\pages 186--194
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