Teplofizika vysokikh temperatur
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Teplofizika vysokikh temperatur, 2012, Volume 50, Issue 1, Pages 118–125 (Mi tvt237)  

This article is cited in 16 scientific papers (total in 16 papers)

Heat and Mass Transfer and Physical Gasdynamics

One method of reception of the exact analytical decision of the hyperbolic equation of heat conductivity on the basis of use of orthogonal methods

V. A. Kudinov, I. V. Kudinov

Samara State Technical University, ul. Molodogvardeyskaya 244, Samara, 443100, Russia
References:
Abstract: On the basis of use of a method of separation of variables and the orthogonal method of Bubnov–Galerkin, the exact analytical solution of the hyperbolic equation of heat conductivity for an infinite plate under boundary conditions of the first sort is obtained. It is shown that heating of the body (cooling) is deter-mined by movement of the thermal shock wave on which there is a temperature jump. The front of the thermal wave divides the investigated area into two subareas splitting where the temperature changes from the wall temperature (a boundary condition of the first sort) to the temperature at the front waves and not splitting when the temperature is equal to the reference temperature.
Received: 21.09.2010
English version:
High Temperature, 2012, Volume 50, Issue 1, Pages 112–119
DOI: https://doi.org/10.1134/S0018151X12010105
Bibliographic databases:
Document Type: Article
UDC: 536.2 (075)
Language: Russian
Citation: V. A. Kudinov, I. V. Kudinov, “One method of reception of the exact analytical decision of the hyperbolic equation of heat conductivity on the basis of use of orthogonal methods”, TVT, 50:1 (2012), 118–125; High Temperature, 50:1 (2012), 112–119
Citation in format AMSBIB
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\pages 118--125
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\jour High Temperature
\yr 2012
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  • https://www.mathnet.ru/eng/tvt/v50/i1/p118
  • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Teplofizika vysokikh temperatur Teplofizika vysokikh temperatur
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