ANALYTICAL SOLUTIONS OF NON-LINEAR HEAT CONDUCTION PROBLEMS
The paper contains information about analytical solutions of a non-linear heat conduction equation. Taking into account the fact that till the present moment physically substantiated methods for solving this equation are not found, analytical formulae have been derived for the first time. An example...
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| Format: | Article |
| Language: | Russian |
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Belarusian National Technical University
2005-06-01
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| Series: | Известия высших учебных заведений и энергетических объединенний СНГ: Энергетика |
| Online Access: | https://energy.bntu.by/jour/article/view/943 |
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| _version_ | 1832543736144330752 |
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| author | V. A. Bondarev |
| author_facet | V. A. Bondarev |
| author_sort | V. A. Bondarev |
| collection | DOAJ |
| description | The paper contains information about analytical solutions of a non-linear heat conduction equation. Taking into account the fact that till the present moment physically substantiated methods for solving this equation are not found, analytical formulae have been derived for the first time. An example of calculations in the case of variable coefficients of thermal conductivity and radiative heating transfer on the boundaries is considered in the paper. The paper presents calculation of heat conduction process with a change in the physical state of substance. Mathematical functions suitable for obtaining analytical formulae are determined by means of a detailed analysis of physical model. |
| format | Article |
| id | doaj-art-c1eb6b88d77d45b6a4d92f4018a51f05 |
| institution | Kabale University |
| issn | 1029-7448 2414-0341 |
| language | Russian |
| publishDate | 2005-06-01 |
| publisher | Belarusian National Technical University |
| record_format | Article |
| series | Известия высших учебных заведений и энергетических объединенний СНГ: Энергетика |
| spelling | doaj-art-c1eb6b88d77d45b6a4d92f4018a51f052025-02-03T11:34:21ZrusBelarusian National Technical UniversityИзвестия высших учебных заведений и энергетических объединенний СНГ: Энергетика1029-74482414-03412005-06-01036673920ANALYTICAL SOLUTIONS OF NON-LINEAR HEAT CONDUCTION PROBLEMSV. A. Bondarev0Belarusian National Technical UniversityThe paper contains information about analytical solutions of a non-linear heat conduction equation. Taking into account the fact that till the present moment physically substantiated methods for solving this equation are not found, analytical formulae have been derived for the first time. An example of calculations in the case of variable coefficients of thermal conductivity and radiative heating transfer on the boundaries is considered in the paper. The paper presents calculation of heat conduction process with a change in the physical state of substance. Mathematical functions suitable for obtaining analytical formulae are determined by means of a detailed analysis of physical model.https://energy.bntu.by/jour/article/view/943 |
| spellingShingle | V. A. Bondarev ANALYTICAL SOLUTIONS OF NON-LINEAR HEAT CONDUCTION PROBLEMS Известия высших учебных заведений и энергетических объединенний СНГ: Энергетика |
| title | ANALYTICAL SOLUTIONS OF NON-LINEAR HEAT CONDUCTION PROBLEMS |
| title_full | ANALYTICAL SOLUTIONS OF NON-LINEAR HEAT CONDUCTION PROBLEMS |
| title_fullStr | ANALYTICAL SOLUTIONS OF NON-LINEAR HEAT CONDUCTION PROBLEMS |
| title_full_unstemmed | ANALYTICAL SOLUTIONS OF NON-LINEAR HEAT CONDUCTION PROBLEMS |
| title_short | ANALYTICAL SOLUTIONS OF NON-LINEAR HEAT CONDUCTION PROBLEMS |
| title_sort | analytical solutions of non linear heat conduction problems |
| url | https://energy.bntu.by/jour/article/view/943 |
| work_keys_str_mv | AT vabondarev analyticalsolutionsofnonlinearheatconductionproblems |