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 TVT, 2015, Volume 53, Issue 2, Pages 243–249 (Mi tvt270)

Heat and Mass Transfer and Physical Gasdynamics

Radiative-conductive heat transfer in a spherical cavity

V. S. Zarubin, G. N. Kuvyrkin, I. Yu. Savelyeva

N. E. Bauman Moscow State Technical University

Abstract: A mathematical model describing joint radiative-conductive heat transfer in a spherical cavity, the shape of which can be considered as a statistical average in relation to the forms of closed pores in solids, is developed. The model determines an equivalent thermal conductivity of an arbitrary diathermic medium in a cavity that allows a material with a porous structure to be considered as a continuous inhomogeneous solid. The effect of the temperature field gradient in the vicinity of the cavity and the thermal conductivity of the diathermic medium on the equivalent coefficient of thermal conductivity is determined. In the case of a thermally nonconducting medium, the calculated dependence of this coefficient is compared to equations, similar in structure, derived on the basis of different approaches to account for heat transfer by radiation in pores.

DOI: https://doi.org/10.7868/S0040364415020246

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English version:
High Temperature, 2015, 53:2, 234–239

Bibliographic databases:

UDC: 536.2

Citation: V. S. Zarubin, G. N. Kuvyrkin, I. Yu. Savelyeva, “Radiative-conductive heat transfer in a spherical cavity”, TVT, 53:2 (2015), 243–249; High Temperature, 53:2 (2015), 234–239

Citation in format AMSBIB
\Bibitem{ZarKuvSav15} \by V.~S.~Zarubin, G.~N.~Kuvyrkin, I.~Yu.~Savelyeva \paper Radiative-conductive heat transfer in a spherical cavity \jour TVT \yr 2015 \vol 53 \issue 2 \pages 243--249 \mathnet{http://mi.mathnet.ru/tvt270} \crossref{https://doi.org/10.7868/S0040364415020246} \elib{http://elibrary.ru/item.asp?id=23103214} \transl \jour High Temperature \yr 2015 \vol 53 \issue 2 \pages 234--239 \crossref{https://doi.org/10.1134/S0018151X15020248} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000352971900013} \elib{http://elibrary.ru/item.asp?id=24024142} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928231237} 

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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. S. Zarubin, O. V. Pugachev, I. Yu. Saveleva, “Primenenie metoda naimenshikh kvadratov k zadache o perenose izlucheniya v sharovoi polosti”, Mat. modelir. i chisl. metody, 2015, no. 8, 53–65
2. G. L. Vignoles, “A hybrid random walk method for the simulation of coupled conduction and linearized radiation transfer at local scale in porous media with opaque solid phases”, Int. J. Heat Mass Transf., 93 (2016), 707–719
3. V. S. Zarubin, G. N. Kuvyrkin, I. Yu. Savelyeva, “Critical and optimal thicknesses of thermal insulation in radiative–convective heat transfer”, High Temperature, 54:6 (2016), 831–836
4. M. A. Remnev, A. P. Vinogradov, A. A. Pukhov, “Estimate of the power of radiative heat transfer in a plasmon nanocomposite”, High Temperature, 55:5 (2017), 795–801
5. V. V. Kuzenov, S. V. Ryzhkov, “Mathematical Modeling of Plasma Dynamics for Processes in Capillary Discharges”, Nelineinaya dinam., 15:4 (2019), 543–550
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