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The velocity of movement of isotherms near the thermal center of a cooled body

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Journal of Engineering Physics and Thermophysics Aims and scope

The behavior of isotherms near the thermal center of a cooled body has been considered. It is shown that closer to the thermal center the velocity of movement of isotherms increases sharply. An expression is obtained that describes the behavior of the velocity of movement of isotherms near the center of bodies of simple shapes (plate, infinite cylinder, rod of square cross section, sphere, and cube). Quantitatively the behavior of the velocity depends on the thermal diffusivity of the medium and the geometric form of the body but is independent of the absolute magnitude of the isotherms, body dimensions, and of the cooling inetnsity. The property indicated is typical of the processes described by parabolic-type equations.

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Authors and Affiliations

  1. I. P. Bardin Central Scientific-Research Institute of Ferrous Metallurgy, 9/23 2nd Bauman Str., Moscow, 105005, Russia

    V. V. Vinogradov & I. L. Tyazhel’nikova

  2. V. A. Trapeznikov Institute of the Problems of Management, Russian Academy of Sciences, 65 Profsoyuznaya Str., Moscow, 117806, Russia

    E. P. Vinogradova

Authors
  1. V. V. Vinogradov
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  2. I. L. Tyazhel’nikova
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  3. E. P. Vinogradova
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Corresponding author

Correspondence to V. V. Vinogradov.

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 82, No. 2, pp. 391–397, March–April, 2009.

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Vinogradov, V.V., Tyazhel’nikova, I.L. & Vinogradova, E.P. The velocity of movement of isotherms near the thermal center of a cooled body. J Eng Phys Thermophy 82, 388–394 (2009). https://doi.org/10.1007/s10891-009-0180-2

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  • DOI: https://doi.org/10.1007/s10891-009-0180-2

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