A theory of fractional-order thermal energy transfer, recently proposed by one of the authors, is extended here to non-homogeneous conductors. Material inhomogeneity and long-range thermal energy transport are considered for an insulated conductor material in 1D and 2D cases. Some numerical applications, showing the capability of the proposed non-local model to approach diffusive thermal energy transport, are reported.
Fractional-order temperature distribution in non-homogeneous rigid conductors
FAILLA, Giuseppe
2014-01-01
Abstract
A theory of fractional-order thermal energy transfer, recently proposed by one of the authors, is extended here to non-homogeneous conductors. Material inhomogeneity and long-range thermal energy transport are considered for an insulated conductor material in 1D and 2D cases. Some numerical applications, showing the capability of the proposed non-local model to approach diffusive thermal energy transport, are reported.File in questo prodotto:
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