A non-field analytical method for heat transfer problems through a moving boundary

Abstract This paper presents an extension of the non-field analytical method—known as the method of Kulish—to solving heat transfer problems in domains with a moving boundary. This is an important type of problems with various applications in different areas of science. Among these are heat transfer...

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Autores principales:	Vladimir Kulish, Vladimír Horák
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/a5d69ad79dbb46adb3475e3bfef0573b
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spelling	oai:doaj.org-article:a5d69ad79dbb46adb3475e3bfef0573b2021-12-02T18:13:52ZA non-field analytical method for heat transfer problems through a moving boundary10.1038/s41598-021-98572-x2045-2322https://doaj.org/article/a5d69ad79dbb46adb3475e3bfef0573b2021-09-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-98572-xhttps://doaj.org/toc/2045-2322Abstract This paper presents an extension of the non-field analytical method—known as the method of Kulish—to solving heat transfer problems in domains with a moving boundary. This is an important type of problems with various applications in different areas of science. Among these are heat transfer due to chemical reactions, ignition and explosions, combustion, and many others. The general form of the non-field solution has been obtained for the case of an arbitrarily moving boundary. After that some particular cases of the solution are considered. Among them are such cases as the boundary speed changing linearly, parabolically, exponentially, and polynomially. Whenever possible, the solutions thus obtained have been compared with known solutions. The final part of the paper is devoted to determination of the front propagation law in Stefan-type problems at large times. Asymptotic solutions have been found for several important cases of the front propagation.Vladimir KulishVladimír HorákNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-9 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Vladimir Kulish Vladimír Horák A non-field analytical method for heat transfer problems through a moving boundary
description	Abstract This paper presents an extension of the non-field analytical method—known as the method of Kulish—to solving heat transfer problems in domains with a moving boundary. This is an important type of problems with various applications in different areas of science. Among these are heat transfer due to chemical reactions, ignition and explosions, combustion, and many others. The general form of the non-field solution has been obtained for the case of an arbitrarily moving boundary. After that some particular cases of the solution are considered. Among them are such cases as the boundary speed changing linearly, parabolically, exponentially, and polynomially. Whenever possible, the solutions thus obtained have been compared with known solutions. The final part of the paper is devoted to determination of the front propagation law in Stefan-type problems at large times. Asymptotic solutions have been found for several important cases of the front propagation.
format	article
author	Vladimir Kulish Vladimír Horák
author_facet	Vladimir Kulish Vladimír Horák
author_sort	Vladimir Kulish
title	A non-field analytical method for heat transfer problems through a moving boundary
title_short	A non-field analytical method for heat transfer problems through a moving boundary
title_full	A non-field analytical method for heat transfer problems through a moving boundary
title_fullStr	A non-field analytical method for heat transfer problems through a moving boundary
title_full_unstemmed	A non-field analytical method for heat transfer problems through a moving boundary
title_sort	non-field analytical method for heat transfer problems through a moving boundary
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/a5d69ad79dbb46adb3475e3bfef0573b
work_keys_str_mv	AT vladimirkulish anonfieldanalyticalmethodforheattransferproblemsthroughamovingboundary AT vladimirhorak anonfieldanalyticalmethodforheattransferproblemsthroughamovingboundary AT vladimirkulish nonfieldanalyticalmethodforheattransferproblemsthroughamovingboundary AT vladimirhorak nonfieldanalyticalmethodforheattransferproblemsthroughamovingboundary
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A non-field analytical method for heat transfer problems through a moving boundary

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