Mathematical Modeling of Some Heating and Thermal Treatment Processes
The purpose of the paper-is to construct a mathematical model that makes it possible to investigate and modify design and heat technological models of units intended for heating and thermal treatment of products with due account of all parameters affecting the quality of the process proceeding. Orth...
| Main Authors: | , |
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| Format: | Article |
| Language: | Russian |
| Published: |
Belarusian National Technical University
2006-04-01
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| Series: | Известия высших учебных заведений и энергетических объединенний СНГ: Энергетика |
| Online Access: | https://energy.bntu.by/jour/article/view/794 |
| _version_ | 1826556670892834816 |
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| author | N. P. Voronova G. A. Klimovich |
| author_facet | N. P. Voronova G. A. Klimovich |
| author_sort | N. P. Voronova |
| collection | DOAJ |
| description | The purpose of the paper-is to construct a mathematical model that makes it possible to investigate and modify design and heat technological models of units intended for heating and thermal treatment of products with due account of all parameters affecting the quality of the process proceeding. Orthogonal Bubnov-Galiorcin method has been used to solve boundary equation problems of heat conduction with corresponding initial and limiting conditions of the first, second and third origin. Maximum error of the results obtained with the help of the proposed model does not exceed 3,7 %, that testifies its adequacy and proves its possible usage with the purpose to optimize heating and thermal treatment processes of products. |
| first_indexed | 2024-04-10T02:56:08Z |
| format | Article |
| id | doaj.art-ba54102cd6b6403291826e08c0610ec6 |
| institution | Directory Open Access Journal |
| issn | 1029-7448 2414-0341 |
| language | Russian |
| last_indexed | 2025-03-14T08:16:24Z |
| publishDate | 2006-04-01 |
| publisher | Belarusian National Technical University |
| record_format | Article |
| series | Известия высших учебных заведений и энергетических объединенний СНГ: Энергетика |
| spelling | doaj.art-ba54102cd6b6403291826e08c0610ec62025-03-02T13:14:17ZrusBelarusian National Technical UniversityИзвестия высших учебных заведений и энергетических объединенний СНГ: Энергетика1029-74482414-03412006-04-01028388787Mathematical Modeling of Some Heating and Thermal Treatment ProcessesN. P. VoronovaG. A. KlimovichThe purpose of the paper-is to construct a mathematical model that makes it possible to investigate and modify design and heat technological models of units intended for heating and thermal treatment of products with due account of all parameters affecting the quality of the process proceeding. Orthogonal Bubnov-Galiorcin method has been used to solve boundary equation problems of heat conduction with corresponding initial and limiting conditions of the first, second and third origin. Maximum error of the results obtained with the help of the proposed model does not exceed 3,7 %, that testifies its adequacy and proves its possible usage with the purpose to optimize heating and thermal treatment processes of products.https://energy.bntu.by/jour/article/view/794 |
| spellingShingle | N. P. Voronova G. A. Klimovich Mathematical Modeling of Some Heating and Thermal Treatment Processes Известия высших учебных заведений и энергетических объединенний СНГ: Энергетика |
| title | Mathematical Modeling of Some Heating and Thermal Treatment Processes |
| title_full | Mathematical Modeling of Some Heating and Thermal Treatment Processes |
| title_fullStr | Mathematical Modeling of Some Heating and Thermal Treatment Processes |
| title_full_unstemmed | Mathematical Modeling of Some Heating and Thermal Treatment Processes |
| title_short | Mathematical Modeling of Some Heating and Thermal Treatment Processes |
| title_sort | mathematical modeling of some heating and thermal treatment processes |
| url | https://energy.bntu.by/jour/article/view/794 |
| work_keys_str_mv | AT npvoronova mathematicalmodelingofsomeheatingandthermaltreatmentprocesses AT gaklimovich mathematicalmodelingofsomeheatingandthermaltreatmentprocesses |