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Modeling and Analysis of the Thermoelastic State of a Thermosensitive Cylinder Layered Along the Axis Under the Conditions of Heat Removal by the Evaporation of Liquid

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By using an example of a cylinder with three layers along the axis, we illustrate the formulation of the mathematical model and procedure of determination of the steady-state thermal and thermoelastic states of a thermosensitive cylinder in the presence of a heat flux directed toward one bounding surface of the cylinder and the heat removal by the evaporation of liquid through the other bounding surface. Moreover, it is assumed that the second layer of the cylinder contains heat sources distributed according to the parabolic law and the conditions of perfect thermal contact between the layers are satisfied. We study the influence of the thermomechanical characteristics of the materials of layers regarded as functions of temperature and the intensity of evaporation on the character and level of the distributions of temperature and stresses.

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Authors and Affiliations

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

    V. S. Popovych

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

    І. І. Rakocha

Authors
  1. V. S. Popovych
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  2. І. І. Rakocha
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 58, No. 3, pp. 7–14, July–September, 2015.

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Popovych, V.S., Rakocha, І.І. Modeling and Analysis of the Thermoelastic State of a Thermosensitive Cylinder Layered Along the Axis Under the Conditions of Heat Removal by the Evaporation of Liquid. J Math Sci 226, 1–10 (2017). https://doi.org/10.1007/s10958-017-3514-1

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  • DOI: https://doi.org/10.1007/s10958-017-3514-1

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