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...

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Bibliographic Details
Date:2020
Main Author: Protsiuk, B. V.; Процюк Б. В.; Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України, Львів
Format: Article
Language:Ukrainian
Published: Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine 2020
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Online Access:http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2020.18.93-101
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Journal Title:Prykladni Problemy Mekhaniky i Matematyky

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Prykladni Problemy Mekhaniky i Matematyky
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Summary: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