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Mathematical model of heating a prism with boundary conditions of the 3rd kind

  • Heat Conduction and Heat Transfer in Technological Processes
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Journal of Engineering Physics and Thermophysics Aims and scope

Abstract

This paper describes the procedure of computational determination of the temperature field of a prismatic workpiece heated in a continuous furnace with account for the temperature dependence of the thermal diffusivity. For a numerical solution of the two-dimensional heat conduction equation with boundary conditions of the 3rd kind, an implicit scheme has been used. The calculated time dependences of the temperature for three characteristic points of the cross-section of the prismatic steel workpiece have been compared to the experimental data. The heat transfer coefficients at which the experimental data and the calculated values have a minimum discrepancy have been determined.

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References

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Authors and Affiliations

  1. V. A. Belyi Institute of Mechanics of Metal-Polymer Systems, NAS of Belarus, 32a Kirov Str., Gomel, 246050, Belarus

    Yu. M. Pleskachevskii, S. V. Shil’ko & S. L. Gavrilenko

  2. Presidium of the National Academy of Sciences of Belarus, Minsk

    V. I. Timoshpol’skii

  3. Belarusian National Technical University, Minsk

    S. M. Kabishov

Authors
  1. Yu. M. Pleskachevskii
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  2. V. I. Timoshpol’skii
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  3. S. V. Shil’ko
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  4. S. L. Gavrilenko
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  5. S. M. Kabishov
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Corresponding author

Correspondence to S. V. Shil’ko.

Additional information

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 80, No. 6, pp. 3–8, November–December, 2007.

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Pleskachevskii, Y.M., Timoshpol’skii, V.I., Shil’ko, S.V. et al. Mathematical model of heating a prism with boundary conditions of the 3rd kind. J Eng Phys Thermophy 80, 1065–1071 (2007). https://doi.org/10.1007/s10891-007-0139-0

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  • DOI: https://doi.org/10.1007/s10891-007-0139-0

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