Визначення нестаціонарних температурних полів у термочутливому півпросторі
An analytical-numerical method for determining temperature fields in a thermosensitive half-space under a wide range of thermal action is proposed. In this case, no restrictions are imposed on the nature of the temperature dependences of thermophysical characteristics. The solution of the heat condu...
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| Date: | 2022 |
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| Main Author: | |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine
2022
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| Subjects: | |
| Online Access: | http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2022.20.46-52 |
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| Journal Title: | Prykladni Problemy Mekhaniky i Matematyky |
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Prykladni Problemy Mekhaniky i Matematyky| Summary: | An analytical-numerical method for determining temperature fields in a thermosensitive half-space under a wide range of thermal action is proposed. In this case, no restrictions are imposed on the nature of the temperature dependences of thermophysical characteristics. The solution of the heat conduction problem using the Kirchhoff transformation, Green's function, generalized functions, linear splines, and the inverse Kirchhoff transformation, which is based on Newton's iterative formula for finding the roots of transcendental equations, is reduced to the determination of the Kirchhoff variable at fixed moments of time from recurrent linear relations. The results of numerical studies are presented. Cite as: B. V. Protsiuk, “Determination of non-stationary temperature fields in a thermosensitive half-space,” Prykl. Probl. Mekh. Mat., Issue 20, 46–52 (2022) (in Ukrainian), https://doi.org/10.15407/apmm2022.20.46-52 |
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