Abstract
A solution is obtained for the problem of the heating of a two-layer plate at constant heating rate and for the problem of the monotonic heating of a single-layer plate with allowance for the temperature dependence of the thermophysical properties. The methods used include the integral heat balance method, the small parameter method, and Galerkin's method. The first problem is also solved by an operational method.
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References
O. A. Kraev, Teploenergetika, no. 4, 1956.
E. S. Platunov, Izv. VUZ. Priborostroenie, nos. 1, 4, and 5, 1961; no. 4, 1962.
V. M. Kostylev and V. G. Nabatov, IFZh [Journal of Engineering Physics],9, no. 3, 1965.
A. V. Luikov, Theory of Heat Conduction [in Russian], izd. Vysshaya shkola, 1967.
T. R. Goodman, Transactions of ASME,80, no. 2, 335, 1958.
L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis [in Russian], Fizmatgiz, 1962.
G. F.Muchnik and Yu. A. Polyakov, Teplofizika vysokikh temperatur,2, no. 3, 1964.
E. S. Platunov, Izv. VUZ. Priborostroenie, no. 5, 1964.
I. G. Meerovich, Teplofizika vysokikh temperatur,4, no. 2, 1966.
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Kaganer, M.G. Various methods of solving the problem of monotonic heating of a plate. Journal of Engineering Physics 15, 869–875 (1968). https://doi.org/10.1007/BF00826661
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DOI: https://doi.org/10.1007/BF00826661