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Optimal distribution of a heat source within a thermopenetrator

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dc.contributor.author Fomin S.
dc.contributor.author Chugunov V.
dc.date.accessioned 2018-09-17T20:57:02Z
dc.date.available 2018-09-17T20:57:02Z
dc.date.issued 2002
dc.identifier.issn 0955-7997
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/134303
dc.description.abstract Heat conduction within a heater of an arbitrary shape is investigated. A mathematical model is presented as a mixed boundary-value problem for the Poisson equation converted into a Fredholm boundary integral equation of the first kind which is solved numerically. A closed-form solution for the particular case of a rectangular heater is also found. Provided that the temperature and heat flux on the heater's boundary are given, the problem is treated as an inverse problem where the heat source distribution within the heater is the unknown function. The existence of the unique solution of this inverse problem is proved. Finally, the problem is solved numerically for a one-dimensional heat source. © 2002 Elsevier Science Ltd. All rights reserved.
dc.relation.ispartofseries Engineering Analysis with Boundary Elements
dc.subject Heat conduction
dc.subject Heat source
dc.subject Integral equation
dc.subject Inverse problem
dc.subject Optimization
dc.title Optimal distribution of a heat source within a thermopenetrator
dc.type Article
dc.relation.ispartofseries-issue 7
dc.relation.ispartofseries-volume 26
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 613
dc.source.id SCOPUS09557997-2002-26-7-SID0036665999

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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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