Автомодельное решение задачи теплопереноса в изотропном полупространстве, подвижная граница которого имеет пленочное покрытие

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Автомодельное решение задачи теплопереноса в изотропном полупространстве…
ISSN 0236-3941. Вестник МГТУ им. Н.Э. Баумана. Сер. Машиностроение. 2017. № 5 95
A SIMILARITY SOLUTION TO THE HEAT TRANSFER PROBLEM
FOR AN ISOTROPIC HALF-SPACE FEATURING A FILM-COATED
MOVING BOUNDARY
A.V. Attetkov
P.A. Vlasov
I.K. Volkov
Bauman Moscow State Technical University, Moscow, Russian Federation
Abstract Keywords
The study considers the problem of determining a tem-
perature field in an isotropic half-space the boundary of
which moves according to a given law and features a film
coating. We investigated unsteady heat transfer in a sys-
tem consisting of a solid, a coating and a gas, with both
the heat transfer coefficient and ambient temperature
being time-dependent. We determine sufficient condi-
tions meeting which ensures the possibility of self-similar
heat transfer process taking place in the system under
consideration. We qualitatively investigated physical
properties of the self-similar process under study. We
provide a theoretical validation of implementing a ther-
mostatting mode in the moving boundary of the object
investigated
Isotropic half-space with a moving
boundary, thermally thin coating,
unsteady heat transfer, temperature
field, similarity solution
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