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Title of Article

MATHEMATICAL SIMULATION OF HEAT TRANSFER IN A PERIODIC MEDIUM WITH CYLINDRICAL INCLUSIONS SEPARATED FROM THE MATRIX BY A THIN LAYER


Issue
6
Date
2010

Article type
scientific article
UDC
536.2
Pages
178-185
Keywords
mathematical simulation, structurally inhomogeneous media, homogenization, heat conduction equation, heat conductivity coefficient


Authors
Savatorova Viktoriya Leonidovna
Natsionalnyy issledovatelskiy yadernyy universitet MIFI

Talonov Aleksey Vladimirovich
Natsionalnyy issledovatelskiy yadernyy universitet MIFI

Volkov-Bogorodskiy Dmitriy Borisovich
Institut prikladnoy mekhaniki RAN, Moskva

Vlasov Aleksandr Nikolaevich
Institut prikladnoy mekhaniki RAN, Moskva


Abstract
Mathematical simulation of heat transfer has been carried out in an inhomogeneous medium in the form of a homogeneous matrix with cylindrical inclusions separated from it by a contact layer. The influence of the layer thickness and material on the effective properties of matrix-layer-inclusion system has been studied. Using the asymptotic homogenization procedure, numerical simulations of temperature distribution have been made for the medium containing a large number of periodical isolated inclusions with different geometrical and physical characteristics of inclusions, layers and matrices.

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