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Solution of Mixed Contact Problems in the Theory of Nonstationary Heat Conduction by the Method of Summation‐Integral Equations

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Journal of Engineering Physics and Thermophysics Aims and scope

Abstract

The laws governing the development of spatial nonstationary temperature fields in a bounded cylinder and a half‐space where one of the end surfaces of the cylinder touches the surface of the half‐space in a circular region are determined. A solution of a mixed axisymmetric nonstationary problem of heat conduction is obtained in the region of Laplace transforms. In solution of this problem, there appear summation‐integral equations with the parameter of the integral Laplace transform (L‐parameter) and the parameter of the finite integral Hankel transform (H‐parameter).

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REFERENCES

  1. A. V. Luikov, Theory of Heat Conduction [in Russian], Moscow (1967).

  2. V. P. Kozlov and P. A. Mandrik, Systems of Integral and Differential Equations with the L-Parameter in Problems of Mathematical Physics and Methods for Identification of Thermal Characteristics [in Russian], Minsk (2000).

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Authors and Affiliations

  1. Belarusian State University, Minsk, Belarus

    V. P. Kozlov & P. A. Mandrik

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  1. V. P. Kozlov
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  2. P. A. Mandrik
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Kozlov, V.P., Mandrik, P.A. Solution of Mixed Contact Problems in the Theory of Nonstationary Heat Conduction by the Method of Summation‐Integral Equations. Journal of Engineering Physics and Thermophysics 74, 632–637 (2001). https://doi.org/10.1023/A:1016752126279

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  • DOI: https://doi.org/10.1023/A:1016752126279

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