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

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Using generalized functions, we obtain a heat-conduction equation with discontinuous and singular coefficients for an isotropic layer with heat-generating foreign cylindrical inclusion. Using a piecewise-linear approximation of temperature on the surfaces of the inclusion and the Hankel integral transformation, we construct an analytic solution of the boundary-value problem of heat conduction with heat emission. A numerical analysis of the considered system is carried out.

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Authors and Affiliations

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

    V. I. Havrysh, D. V. Fedasyuk & A. I. Kosach

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  1. V. I. Havrysh
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  2. D. V. Fedasyuk
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  3. A. I. Kosach
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Correspondence to A. I. Kosach.

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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 46, No. 5, pp. 115–120, September–October, 2010.

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Havrysh, V.I., Fedasyuk, D.V. & Kosach, A.I. Boundary-value problem of heat conduction for a layer with foreign cylindrical inclusion. Mater Sci 46, 702–708 (2011). https://doi.org/10.1007/s11003-011-9343-3

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  • DOI: https://doi.org/10.1007/s11003-011-9343-3

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