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Generalization of Sommerfeld heat-conduction problem for a ring

Abstract

A solution is obtained for the problem of heat conduction in a one-dimensional ring consisting of two sections with different lengths, heat sources, and thermophysical parameters.

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Literature cited

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    A. Sommerfeld, Lectures on Theoretical Physics. Vol. 6. Partial Differential Equations in Physics, Academic Press (1949).

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    N. Rashevski, Some Medical Aspects of Mathematical Biology [in Russian], Meditsina, Moscow (1966).

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    A. S. Burchakov et al., Mine Aerology [in Russian], Nedra, Moscow (1971).

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    V. S. Vladimirov, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1967).

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    A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [In Russian], Nauka, Moscow (1966).

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    G. Doetsch, Guide to the Application of Laplace and Z Transforms, 2nd ed., Van Nostrand Reinhold.

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    I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products, Academic Press (1966).

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    A. V. Lykov, Theory of Heat Conduction [in Russian], Vysshaya Shkola, Moscow (1967).

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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 35, No. 1, pp. 150–154, July, 1978.

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Cite this article

Vengerov, I.R. Generalization of Sommerfeld heat-conduction problem for a ring. Journal of Engineering Physics 35, 866–869 (1978). https://doi.org/10.1007/BF00866024

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Keywords

  • Statistical Physic
  • Heat Conduction
  • Heat Source
  • Thermophysical Parameter