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Temperature field in a hollow cylinder with internal periodic instantaneous heat sources and the roots of the corresponding characteristic equation

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Abstract

A solution is obtained for the temperature field in the active element (in the form of a hollow cylinder) of a pulsed laser with convection at the inside and outside surfaces. It is shown that for existing lasers, the solution may be truncated after the first term of the series. Values of the first root of the characteristic equation are obtained for Biot numbers ranging from 1 to 100.

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Belostotskii, B.R. Temperature field in a hollow cylinder with internal periodic instantaneous heat sources and the roots of the corresponding characteristic equation. Journal of Engineering Physics 13, 184–186 (1967). https://doi.org/10.1007/BF00831470

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  • DOI: https://doi.org/10.1007/BF00831470

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