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Integral Transformations for the Generalized Equation of Nonstationary Heat Conduction in a Partially Bounded Region

  • HEAT CONDUCTION AND HEAT TRANSFER IN TECHNOLOGICAL PROCESSES
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Journal of Engineering Physics and Thermophysics Aims and scope

A mathematical theory of constructing integral transforms and formulas of their inversion for the generalized equation of nonstationary heat conduction in an infinite region, bounded from the inside by a plane, a cylindrical, or a spherical surface, and the Green′s function method have been developed. Integral relations for analytical solutions of boundary-value problems in the indicated region are proposed. Illustrative examples are considered.

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Correspondence to É. M. Kartashov.

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 90, No. 6, pp. 1347–1355, November–December, 2017.

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Kartashov, É.M. Integral Transformations for the Generalized Equation of Nonstationary Heat Conduction in a Partially Bounded Region. J Eng Phys Thermophy 90, 1279–1287 (2017). https://doi.org/10.1007/s10891-017-1684-9

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  • DOI: https://doi.org/10.1007/s10891-017-1684-9

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