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Calculation of temperature fields in domains with piecewise-homogeneous media joined along a non-canonical boundary

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Abstract

An analytical method is developed for the solution of linear problems of stationary heat conduction in domains with piecewise-homogeneous media joined along a non-canonical boundary. The method is based on the addition of non-canonical contours to contours described in the framework of classical systems of coordinates.

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Literature cited

  1. I. E. Zino, Problems in the Theory of Transfer Processes [in Russian], Minsk (1977).

  2. A. V. Pogorelov, Differential Geometry [in Russian], Moscow (1974).

  3. A. V. Lykov, Theory of Heat Conduction [in Russian], Moscow (1967).

  4. Kh. D. Ikramov, Numerical Solution of Matrix Equation [in Russian], Moscow (1984).

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 58, No. 4, pp. 689–693, April, 1990.

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Baryshnikov, I.V., Datskovskii, V.A. Calculation of temperature fields in domains with piecewise-homogeneous media joined along a non-canonical boundary. Journal of Engineering Physics 58, 532–536 (1990). https://doi.org/10.1007/BF00877368

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  • DOI: https://doi.org/10.1007/BF00877368

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