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Identification of the Thermal Conductivity Coefficient for Quasi-Stationary Two-Dimensional Heat Conduction Equations

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Journal of Engineering Physics and Thermophysics Aims and scope

The problem of identifying the time-dependent thermal conductivity coefficient in the initial–boundary-value problem for the quasi-stationary two-dimensional heat conduction equation in a bounded cylinder is considered. It is assumed that the temperature field in the cylinder is independent of the angular coordinate. To solve the given problem, which is related to a class of inverse problems, a mathematical approach based on the method of conjugate gradients in a functional form is being developed.

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Authors and Affiliations

  1. A. N. Podgornyi Institute of Problems of Mechanical Engineering, National Academy of Sciences of Ukraine, 2/10 Pozharskii Str., Kharkov, 61046, Ukraine

    Yu. M. Matsevityi, S. V. Alekhina & A. O. Kostikov

  2. V. N. Karazin Kharkov National University, 4 Svoboda Squ, Kharkov, 61022, Ukraine

    Yu. M. Matsevityi & S. V. Alekhina

  3. Institute of Mathematics, National Academy of Sciences of Belarus, 11 Surganov Str., 220072, Minsk, Belarus

    V. T. Borukhov & G. M. Zayats

Authors
  1. Yu. M. Matsevityi
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  2. S. V. Alekhina
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  3. V. T. Borukhov
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  4. G. M. Zayats
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  5. A. O. Kostikov
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Correspondence to Yu. M. Matsevityi.

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 90, No. 6, pp. 1364–1370, November–December, 2017.

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Matsevityi, Y.M., Alekhina, S.V., Borukhov, V.T. et al. Identification of the Thermal Conductivity Coefficient for Quasi-Stationary Two-Dimensional Heat Conduction Equations. J Eng Phys Thermophy 90, 1295–1301 (2017). https://doi.org/10.1007/s10891-017-1686-7

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  • DOI: https://doi.org/10.1007/s10891-017-1686-7

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