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 TVT, 2017, Volume 55, Issue 4, Pages 549–555 (Mi tvt9235)

This article is cited in 3 scientific papers (total in 3 papers)

Heat and Mass Transfer and Physical Gasdynamics

The influence of thermal relaxation and thermal damping on transient processes with cyclic boundary conditions

Yu. A. Kirsanov

Kazan Scientific Centre of the Russian Academy of Sciences

Abstract: Variants of the differential equation of heat conduction in a solid body, which follow from the Fourier and Cattaneo–Vernotte hypotheses and the Lykov equation, are considered. A boundary value problem describing temperature fields in a body (cylinder) upon cyclic heat exchange with cold and hot media is formulated. An analytical solution to the boundary value problem with a hyperbolic differential equation of heat conduction with allowance for thermal relaxation and temperature damping with cyclic boundary conditions of the third kind is given. The thermal transient processes calculated by the classical heat equation and hyperbolic equation of heat conduction on the axis of the cylinder at different values of factors such as the ratio of the thermal damping time to the thermal relaxation time, the duration of cyclic periods, the Fourier relaxation number, and the Biot number are compared. A conclusion is made that the theory of regenerative air heater should be improved by taking into account thermal relaxation and thermal damping in the nozzle and measurements of the thermal relaxation and thermal damping times of the corresponding materials.

DOI: https://doi.org/10.7868/S0040364417030139

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English version:
High Temperature, 2017, 55:4, 535–540

Bibliographic databases:

UDC: 536.24
Received: 26.10.2015
Accepted:22.12.2015

Citation: Yu. A. Kirsanov, “The influence of thermal relaxation and thermal damping on transient processes with cyclic boundary conditions”, TVT, 55:4 (2017), 549–555; High Temperature, 55:4 (2017), 535–540

Citation in format AMSBIB
\Bibitem{Kir17} \by Yu.~A.~Kirsanov \paper The influence of thermal relaxation and thermal damping on transient processes with cyclic boundary conditions \jour TVT \yr 2017 \vol 55 \issue 4 \pages 549--555 \mathnet{http://mi.mathnet.ru/tvt9235} \crossref{https://doi.org/10.7868/S0040364417030139} \elib{http://elibrary.ru/item.asp?id=29818423} \transl \jour High Temperature \yr 2017 \vol 55 \issue 4 \pages 535--540 \crossref{https://doi.org/10.1134/S0018151X17030130} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000410101800011} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85029057803} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. V. F. Formalev, S. A. Kolesnik, E. L. Kuznetsova, “On the wave heat transfer at times comparable with the relaxation time upon intensive convective-conductive heating”, High Temperature, 56:3 (2018), 393–397
2. V. F. Formalev, S. A. Kolesnik, E. L. Kuznetsova, “Wave heat transfer in the orthotropic half-space under the action of a nonstationary point source of thermal energy”, High Temperature, 56:5 (2018), 727–731
3. V. F. Formalev, S. A. Kolesnik, E. L. Kuznetsova, “Effect of components of the heat conductivity tensor of heat-protection material on the value of heat fluxes from the gasdynamic boundary layer”, High Temperature, 57:1 (2019), 58–62
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