Abstract
The Laplace transform is used to determine the temperature field of a wall exposed to an asymmetric stepwise temperature cycle. A formula is obtained for the amount of heat stored in a semi-infinite slab. A graph is presented, together with numerical calculations based on the theory described.
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References
A. V. Luikov, Theory of Heat Conduction [in Russian], GTTI, 1952.
A. M. Kolobov, Selected Topics in Higher Mathematics [in Russian], Minsk, 1962.
G. Doetsch, Anleitung zum praktischen Gebrauch der Laplace-Transformation, München, 1956.
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Milchev, V.A., Mikhailov, M.D. & Toborov, T.T. Storage of heat by a semi-infinite body exposed to a stepwise temperature cycle. Journal of Engineering Physics 10, 205–207 (1966). https://doi.org/10.1007/BF00832628
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DOI: https://doi.org/10.1007/BF00832628