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Nonstationary Axisymmetric Temperature Field of an Unbounded Cylinder with Thermal Characteristics Variable over Thickness

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We propose a method for the determination of nonstationary axisymmetric temperature fields in an unbounded cylinder (inhomogeneous over the thickness) subjected to the action of a volume heat source and heat fluxes. We consider the conditions of nonuniform temperature distribution at the initial time and convective heat exchange. The method is based on the approximation of thermal characteristics by piecewise constant functions of the radial coordinate, the application of generalized functions, and the use of the Green functions of nonstationary axisymmetric problem of heat conduction for a multilayer cylinder. We study the nonstationary temperature field induced in a functionally graded cylinder by a variable annular normally distributed heat flux. The accuracy of the obtained results is evaluated depending on the number of layers.

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Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine

    B. V. Protsiuk

  2. I. Franko National University of Lviv, Lviv, Ukraine

    V. M. Syniuta

Authors
  1. B. V. Protsiuk
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  2. V. M. Syniuta
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Correspondence to B. V. Protsiuk.

Additional information

Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 62, No. 2, pp. 74–81, April–June, 2019.

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Protsiuk, B.V., Syniuta, V.M. Nonstationary Axisymmetric Temperature Field of an Unbounded Cylinder with Thermal Characteristics Variable over Thickness. J Math Sci 261, 85–94 (2022). https://doi.org/10.1007/s10958-022-05739-6

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  • DOI: https://doi.org/10.1007/s10958-022-05739-6

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