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

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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.

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Authors and Affiliations

  1. “L’vivs’ka Politekhnika” National University, Lviv, Ukraine

    V. I. Havrysh & A. I. Kosach

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  1. V. I. Havrysh
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  2. A. I. Kosach
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Correspondence to V. I. Havrysh.

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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol.47, No.6, pp.52–58, November–December, 2011.

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Havrysh, V.I., Kosach, A.I. Boundary-value problem of heat conduction for a piecewise homogeneous layer with foreign inclusion. Mater Sci 47, 773–782 (2012). https://doi.org/10.1007/s11003-012-9455-4

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  • DOI: https://doi.org/10.1007/s11003-012-9455-4

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