Orthogonal Methods for Multilayer Structures in Heat Conduction Problems
Theoretical properties of a method for construction of analytical solutions pertaining to heat conduction boundary value problem for multilayer structures have been given on the basis of the Kantarovich orthogonal method.Methodology for construction of coordinate function systems has been developed...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | Russian |
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Belarusian National Technical University
2013-06-01
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| Series: | Известия высших учебных заведений и энергетических объединенний СНГ: Энергетика |
| Online Access: | https://energy.bntu.by/jour/article/view/150 |
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| _version_ | 1832557216854441984 |
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| author | V. A. Kudinov E. V. Kotova A. V. Eremin A. E. Kuznetsova |
| author_facet | V. A. Kudinov E. V. Kotova A. V. Eremin A. E. Kuznetsova |
| author_sort | V. A. Kudinov |
| collection | DOAJ |
| description | Theoretical properties of a method for construction of analytical solutions pertaining to heat conduction boundary value problem for multilayer structures have been given on the basis of the Kantarovich orthogonal method.Methodology for construction of coordinate function systems has been developed that satisfy boundary conditions in any approximation and satisfy matching conditions at any number of contacting bodies. Analytical solution of the heat conduction problem has been obtained on the basis of temperature perturbation front introduction and additional boundary conditions with regard to the last layer of the multilayer system. The solution makes it possible to evaluate temperature state of a structure for small and very small time values. |
| format | Article |
| id | doaj-art-18100d847f414e9aa6a8632b8fe424d6 |
| institution | Kabale University |
| issn | 1029-7448 2414-0341 |
| language | Russian |
| publishDate | 2013-06-01 |
| publisher | Belarusian National Technical University |
| record_format | Article |
| series | Известия высших учебных заведений и энергетических объединенний СНГ: Энергетика |
| spelling | doaj-art-18100d847f414e9aa6a8632b8fe424d62025-02-03T05:35:43ZrusBelarusian National Technical UniversityИзвестия высших учебных заведений и энергетических объединенний СНГ: Энергетика1029-74482414-03412013-06-01034459144Orthogonal Methods for Multilayer Structures in Heat Conduction ProblemsV. A. Kudinov0E. V. Kotova1A. V. Eremin2A. E. Kuznetsova3Samara State Technical UniversitySamara State Technical UniversitySamara State Technical UniversitySamara State Technical UniversityTheoretical properties of a method for construction of analytical solutions pertaining to heat conduction boundary value problem for multilayer structures have been given on the basis of the Kantarovich orthogonal method.Methodology for construction of coordinate function systems has been developed that satisfy boundary conditions in any approximation and satisfy matching conditions at any number of contacting bodies. Analytical solution of the heat conduction problem has been obtained on the basis of temperature perturbation front introduction and additional boundary conditions with regard to the last layer of the multilayer system. The solution makes it possible to evaluate temperature state of a structure for small and very small time values.https://energy.bntu.by/jour/article/view/150 |
| spellingShingle | V. A. Kudinov E. V. Kotova A. V. Eremin A. E. Kuznetsova Orthogonal Methods for Multilayer Structures in Heat Conduction Problems Известия высших учебных заведений и энергетических объединенний СНГ: Энергетика |
| title | Orthogonal Methods for Multilayer Structures in Heat Conduction Problems |
| title_full | Orthogonal Methods for Multilayer Structures in Heat Conduction Problems |
| title_fullStr | Orthogonal Methods for Multilayer Structures in Heat Conduction Problems |
| title_full_unstemmed | Orthogonal Methods for Multilayer Structures in Heat Conduction Problems |
| title_short | Orthogonal Methods for Multilayer Structures in Heat Conduction Problems |
| title_sort | orthogonal methods for multilayer structures in heat conduction problems |
| url | https://energy.bntu.by/jour/article/view/150 |
| work_keys_str_mv | AT vakudinov orthogonalmethodsformultilayerstructuresinheatconductionproblems AT evkotova orthogonalmethodsformultilayerstructuresinheatconductionproblems AT averemin orthogonalmethodsformultilayerstructuresinheatconductionproblems AT aekuznetsova orthogonalmethodsformultilayerstructuresinheatconductionproblems |