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Analytical methods of investigation of the thermal state of a region with a moving boundary under the conditions of nonstationary heat transfer to the external medium

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Abstract

An analytical method of solution of combined problems of nonstationary heat conduction for a region with a boundary moving according to a known law and with a time-variable coefficient of heat transfer is developed. The idea of splitting the kernel of the obtained generalization of a singular integral Fourier transform with respect to a space variable provides a basis for the method. Theoretical results are used in mathematical simulation of heat transfer processes in the region with a moving boundary under the conditions of nonstationary heat transfer to the external medium.

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References

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Authors and Affiliations

  1. Scientific-Research Institute of Special Mechanical Engineering at the N. É. Bauman Moscow State Technical University, Moscow, Russia

    A. V. Attetkov & I. K. Volkov

Authors
  1. A. V. Attetkov
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  2. I. K. Volkov
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 73, No. 1, pp. 125–130, January–February, 2000.

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Attetkov, A.V., Volkov, I.K. Analytical methods of investigation of the thermal state of a region with a moving boundary under the conditions of nonstationary heat transfer to the external medium. J Eng Phys Thermophys 73, 124–130 (2000). https://doi.org/10.1007/BF02681686

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  • DOI: https://doi.org/10.1007/BF02681686

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