Temperature field of a three-layer sphere |
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Authors: | V V Mel’nikov |
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Institution: | (1) All-Russia Research Institute of Technical Physics, Snezhinsk, 456770, Russia |
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Abstract: | This paper presents a solution of the problem of unsteady heat transfer in a three-layer hollow sphere in a central-symmetric
formulation with various time-dependent boundary conditions on the inner and outer surfaces. In each layer of the sphere there
is heat release of known intensity which depends on the radial coordinate and time. The solution is obtained by a finite integral
transform on the radial coordinate. A numerical solution is presented for one version of the boundary conditions.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 50, No. 1, pp. 78–84, January–February, 2009. |
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Keywords: | unsteady heat transfer three-layer sphere integral transformation boundary conditions |
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