Numerical Solution of Problem for Non-Stationary Heat Conduction in Multi-Layer Bodies

A mathematical model for non-stationary heat conduction of multi-layer bodies has been developed. Dirac’s δ-function is used to take into account phase and chemical transformations in one of the wall layers. While formulating a problem non-linear heat conduction equations have been used with due acc...

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Main Authors: R. I. Esman, V. A. Ustimovich
Format: Article
Language:Russian
Published: Belarusian National Technical University 2007-12-01
Series:Известия высших учебных заведений и энергетических объединенний СНГ: Энергетика
Online Access:https://energy.bntu.by/jour/article/view/590
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author R. I. Esman
V. A. Ustimovich
author_facet R. I. Esman
V. A. Ustimovich
author_sort R. I. Esman
collection DOAJ
description A mathematical model for non-stationary heat conduction of multi-layer bodies has been developed. Dirac’s δ-function is used to take into account phase and chemical transformations in one of the wall layers. While formulating a problem non-linear heat conduction equations have been used with due account of dependence of thermal and physical characteristics on temperature. Solution of the problem is realized with the help of methods of a numerical experiment and computer modeling.
format Article
id doaj-art-659909d9f8c54cfd8991a61a6c5bc1d6
institution Kabale University
issn 1029-7448
2414-0341
language Russian
publishDate 2007-12-01
publisher Belarusian National Technical University
record_format Article
series Известия высших учебных заведений и энергетических объединенний СНГ: Энергетика
spelling doaj-art-659909d9f8c54cfd8991a61a6c5bc1d62025-02-03T11:34:23ZrusBelarusian National Technical UniversityИзвестия высших учебных заведений и энергетических объединенний СНГ: Энергетика1029-74482414-03412007-12-01063236583Numerical Solution of Problem for Non-Stationary Heat Conduction in Multi-Layer BodiesR. I. Esman0V. A. Ustimovich1Belarusian National Technical UniversityBelarusian National Technical UniversityA mathematical model for non-stationary heat conduction of multi-layer bodies has been developed. Dirac’s δ-function is used to take into account phase and chemical transformations in one of the wall layers. While formulating a problem non-linear heat conduction equations have been used with due account of dependence of thermal and physical characteristics on temperature. Solution of the problem is realized with the help of methods of a numerical experiment and computer modeling.https://energy.bntu.by/jour/article/view/590
spellingShingle R. I. Esman
V. A. Ustimovich
Numerical Solution of Problem for Non-Stationary Heat Conduction in Multi-Layer Bodies
Известия высших учебных заведений и энергетических объединенний СНГ: Энергетика
title Numerical Solution of Problem for Non-Stationary Heat Conduction in Multi-Layer Bodies
title_full Numerical Solution of Problem for Non-Stationary Heat Conduction in Multi-Layer Bodies
title_fullStr Numerical Solution of Problem for Non-Stationary Heat Conduction in Multi-Layer Bodies
title_full_unstemmed Numerical Solution of Problem for Non-Stationary Heat Conduction in Multi-Layer Bodies
title_short Numerical Solution of Problem for Non-Stationary Heat Conduction in Multi-Layer Bodies
title_sort numerical solution of problem for non stationary heat conduction in multi layer bodies
url https://energy.bntu.by/jour/article/view/590
work_keys_str_mv AT riesman numericalsolutionofproblemfornonstationaryheatconductioninmultilayerbodies
AT vaustimovich numericalsolutionofproblemfornonstationaryheatconductioninmultilayerbodies