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Heat conduction problem in the case of a bilaterally bonded plate with heat transfer between it and the surrounding medium

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Abstract

In solving the heat conduction problem in [1] for a bilaterally bonded plate no account was taken of the heat transfer through the bases. Here, by the method of a small parameter, formulas are derived for the functions of the temperature which take into account the heat transfer through the bases.

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Literature cited

  1. A. I. Uzdalev and E. N. Bryukhanova, Inzh.-Fiz. Zh.,19, No. 1 (1970).

  2. A. V. Lykov, Theory of Heat Conduction [in Russian], Gostekhizdat, Moscow (1952).

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  3. A. I. Uzdalev, Some Problems in the Thermoelasticity of Anisotropie Bodies [in Russian], Izd. Saratovsk. Univ., Saratov (1967).

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  4. E. Jahnke, F. Emde, and F. Lesch, Special Functions [Russian translation], Nauka, Moscow (1968).

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  5. G. N. Watson, Theory of Bessel Functions [Russian translation], Part 2. IL, Moscow (1949).

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 22, No. 4, pp. 701–705, April, 1972.

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Uzdelev, A.I., Serebryakova, L.M. Heat conduction problem in the case of a bilaterally bonded plate with heat transfer between it and the surrounding medium. Journal of Engineering Physics 22, 485–489 (1972). https://doi.org/10.1007/BF00829443

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  • DOI: https://doi.org/10.1007/BF00829443

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