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.
Similar content being viewed by others
References
H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids [Russian translation], Izd. Nauka i tekhnika, Moscow, 1962.
P. P. Yushkov, Bessel Functions and Their Applications to Cylinder Cooling Problems [in Russian], Izd. AN BSSR, Minsk, 1962.
B. I. Stepanov, A. S. Rubanov, and A. V. Chalei, ZhPS [Journal of Applied Spectroscopy],4, no. 4, 348, 1966.
B. R. Belostotskii and L. I. Kudryashev, ZhPS [Journal of Applied Spectroscopy], 5, no. 3, 306, 1966.
B. R. Belostotskii, “Problems in fluid mechanics,” Trudy Kuibyshevskogo aviatsionnogo inta, no. 24, 1966.
A. V. Luikov, Theory of Heat Conduction [in Russian], Gostekhizdat, Moscow, 1952.
R. G. Geints, IFZh,5, no. 10, 77, 1962.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
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
Issue Date:
DOI: https://doi.org/10.1007/BF00831470