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Unsteady heat transfer in a system of three coaxial finite cylinders

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Journal of Engineering Physics and Thermophysics Aims and scope

Abstract

An integral transformation with the aid of which a solution of the problem of unsteady-state heat transfer in a system of three coaxial finite cylinders with different boundary conditions on their surfaces depending on space and time is presented. Each of the cylinders evolves heat of a certain intensity, depending on time and coordinates. A numerical solution of one variant of the boundary conditions is given and illustrated by figures. The method of transforming the solution of the problem with other boundary conditions is shown.

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References

  1. H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids [Russian translation], Nauka Moscow (1964).

    Google Scholar 

  2. A. V. Luikov, Heat-Conduction Theory [in Russian], Vysshaya Shkola, Moscow (1967).

    Google Scholar 

  3. A. V. Alifanov and V. M. Golub, Two-dimensional stationary temperature field of the system of bounded dissimilar cylinders in an ideal thermal contact, Inzh.-Fiz. Zh., 76, No. 1, 173–177 (2003).

    Google Scholar 

  4. É. M. Kartashov, Method of integral transformations in the analytical theory of the thermal conductivity of solids, Izv. Ross. Akad. Nauk, Énergetika, No. 2, 99–127 (1993).

  5. V. V. Mel’nikov, Unsteady-state heat transfer in a hollow composite cylinder, Prikl. Mekh. Tekh. Fiz., 46, No. 2, 130–140 (2006).

    Google Scholar 

  6. H. Bateman and A. Erdelyi, Higher Transcendental Functions [Russian translation], Vol. 2, Nauka, Moscow (1974).

    Google Scholar 

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 80, No. 1, pp. 140–148, January–February, 2007.

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Mel’nikov, V.V. Unsteady heat transfer in a system of three coaxial finite cylinders. J Eng Phys Thermophys 80, 148–158 (2007). https://doi.org/10.1007/s10891-007-0021-0

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  • DOI: https://doi.org/10.1007/s10891-007-0021-0

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