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On the Limiting Form of the Equation of Anisotropic Heat Conduction in a Rod

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Journal of Engineering Physics and Thermophysics Aims and scope

Abstract

The paper considers the problem of the asymptotically substantiated reduction of the three‐dimensional, in coordinates, equation describing the process of heat propagation in an anisotropic material to a one‐dimensional equation. As a heat‐transfer region, a cylindrical rod of an arbitrary cross section was taken. It is assumed that the matrix of thermal diffusivity coefficients depends on the spatial coordinates. In the constructed equivalent heat‐conduction equation, a certain effective heat‐transfer coefficient is represented and formulas for its calculation have been obtained. Examples of the calculation have been considered.

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  1. Russian Scientific Center “Applied Chemistry,”, St. Petersburg, Russia

    A. I. Moshinskii

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  1. A. I. Moshinskii
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Moshinskii, A.I. On the Limiting Form of the Equation of Anisotropic Heat Conduction in a Rod. Journal of Engineering Physics and Thermophysics 76, 926–936 (2003). https://doi.org/10.1023/A:1025683028772

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  • DOI: https://doi.org/10.1023/A:1025683028772

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