Abstract
The temperature field produced in an infinite circular cylinder on application of a temperature step to a bounded portion of its surface is analyzed by successive application of Fourier and Laplace transformations. Curves are given showing the time dependence of the axial and radial temperature distributions for a temperature step applied to a narrow annular portion of the surface.
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Literature cited
Ya. S. Uflyand, Integral Transformations and Problems in the Theory of Elasticity [in Russian], Izd. AN SSSR, Moscow-Leningrad (1963).
A. V. Lykov, Theory of Thermal Conductivity [in Russian], Izd. Vysshaya Shkola, Moscow (1967).
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D. I. Cherednichenko, V. K. Alekseev, and G. V. Dudko, Inzh. Fiz. Zh.,14, No. 1, 120–123 (1968).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 17, No. 4, pp. 730–732, October, 1969.
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Cherednichenko, D.I., Alekseev, V.K. & Dudko, G.V. Temperature field produced by a surface source on an infinite cylinder. Journal of Engineering Physics 17, 1304–1306 (1969). https://doi.org/10.1007/BF00832115
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DOI: https://doi.org/10.1007/BF00832115