Abstract
We examine the transition region between two solids which state differs from the state of contacting media. Small thickness of the intermediate region allows us to reduce a three-dimensional problem to a two-dimensional one for a median surface endowed with equivalent physical properties. In the present paper, we consider the generalized boundary conditions of nonperfect thermal contact for the time-fractional heat conduction equation with the Caputo derivative and solve the problem for a composite medium consisting of two semi-infinite regions. Numerical results are illustrated graphically.
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Communicated by Victor Eremeyev, Holm Altenbach.
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Povstenko, Y., Kyrylych, T. Fractional heat conduction in solids connected by thin intermediate layer: nonperfect thermal contact. Continuum Mech. Thermodyn. 31, 1719–1731 (2019). https://doi.org/10.1007/s00161-019-00750-w
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DOI: https://doi.org/10.1007/s00161-019-00750-w