Boundary-value problem of heat conduction for a piecewise homogeneous layer with foreign inclusion

By using distributions, we deduce the heat-conduction equation with discontinuous and singular coefficients for an isotropic piecewise homogeneous layer containing a foreign cylindrical inclusion with heat release. With help of a piecewise linear approximation of temperature on the boundary surfaces...

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Bibliographic Details
Published in:Materials science (New York, N.Y.) N.Y.), 2012-05, Vol.47 (6), p.773-782
Main Authors: Havrysh, V. I., Kosach, A. I.
Format: Article
Language:English
Subjects:
Boundary value problems
Characterization and Evaluation of Materials
Chemistry and Materials Science
Materials Science
Solid Mechanics
Structural Materials
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Summary:By using distributions, we deduce the heat-conduction equation with discontinuous and singular coefficients for an isotropic piecewise homogeneous layer containing a foreign cylindrical inclusion with heat release. With help of a piecewise linear approximation of temperature on the boundary surfaces of the inclusion and the Hankel integral transformation, we construct the numerical-analytic solution of the boundary-value problem of heat conduction with heat transfer. We also perform the numerical analysis for the case of a three-element layer containing an inclusion in the middle element.
ISSN:1068-820X
1573-885X
DOI:10.1007/s11003-012-9455-4