The solution of a two-dimensional initial boundary-value heat-conduction problem for a multilayer semiinfinite band (plate) has been constructed with integral Laguerre and Fourier transformations. The results of a numerical analysis of the temperature field in a three-layered plate as a function of the relative geometric and thermophysical properties of the plate’s components have been given. The possibility of applying the method proposed to analysis of temperature fields in bodies with nanocoatings has been elucidated.
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 85, No. 6, pp. 1343–1351, November–December, 2012.
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Turchin, I.N. Nonstationary end heating of a multilayer semiinfinite plate. J Eng Phys Thermophy 85, 1453–1462 (2012). https://doi.org/10.1007/s10891-012-0795-6
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DOI: https://doi.org/10.1007/s10891-012-0795-6