Спосіб розв’язання нелінійних нестаціонарних задач теплопровідності для півпростору
The technique of temperature fields determination in a half-space taking into account thermal radiation, temperature dependence of thermophysical characteristics, densities of surface and volumetric heat sources with non-uniform initial temperature distribution is suggested. Using Kirchhoff transfor...
Збережено в:
| Дата: | 2020 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Ukrainian |
| Опубліковано: |
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine
2020
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| Теми: | |
| Онлайн доступ: | http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2020.18.93-101 |
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| Назва журналу: | Prykladni Problemy Mekhaniky i Matematyky |
Репозитарії
Prykladni Problemy Mekhaniky i Matematyky| Резюме: | The technique of temperature fields determination in a half-space taking into account thermal radiation, temperature dependence of thermophysical characteristics, densities of surface and volumetric heat sources with non-uniform initial temperature distribution is suggested. Using Kirchhoff transform, Green's function, generalized functions and linear splines, heat conduction problems were reduced to solving a recurrent nonlinear algebraic equation with respect to values in the nodes of the spline of the Kirchhoff variable on the bounding surface. The results of numerical researches are provided. Cite as: B. V. Protsiuk, “Method of solving nonlinear nonstationary thermal conductivity problems for half-space,” Prykl. Probl. Mekh. Mat., Issue 18, 93–101 (2020) (in Ukrainian), https://doi.org/10.15407/apmm2020.18.93-101 |
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