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 TVT, 2019, Volume 57, Issue 5, Pages 727–733 (Mi tvt11032)

Heat and Mass Transfer and Physical Gasdynamics

Condition for the existence of the optimal wall thickness dividing two different environments with local heat exposure

P. A. Vlasov

Bauman Moscow State Technical University

Abstract: The sufficient conditions for the existence of an optimal thickness of an orthotropic dividing wall are determined with the zero-order Hankel integral transform. Both wall surfaces participate in a heat transfer with external media with constant temperatures, and one of them is also affected by a stationary axisymmetric heat flux with a Gaussian-type intensity. The need to minimize the temperature of the most heated point of the object of study is used as an optimality criterion. A sufficient condition is obtained in the form of an inequality that establishes a connection between the thermophysical characteristics of the orthotropic material of the wall and the parameters of the external thermal effects. The accuracy of the obtained condition was established by a computational experiment.

DOI: https://doi.org/10.1134/S0040364419040240

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English version:
High Temperature, 2019, 57:5, 694–699

UDC: 536.2
Received: 05.04.2018
Revised: 15.12.2018
Accepted:27.03.2019

Citation: P. A. Vlasov, “Condition for the existence of the optimal wall thickness dividing two different environments with local heat exposure”, TVT, 57:5 (2019), 727–733; High Temperature, 57:5 (2019), 694–699

Citation in format AMSBIB
\Bibitem{Vla19} \by P.~A.~Vlasov \paper Condition for the existence of the optimal wall thickness dividing two different environments with local heat exposure \jour TVT \yr 2019 \vol 57 \issue 5 \pages 727--733 \mathnet{http://mi.mathnet.ru/tvt11032} \crossref{https://doi.org/10.1134/S0040364419040240} \elib{http://elibrary.ru/item.asp?id=39324222} \transl \jour High Temperature \yr 2019 \vol 57 \issue 5 \pages 694--699 \crossref{https://doi.org/10.1134/S0018151X19040242} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85076551877} 

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