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

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.
978-1-61804-268-2
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12318/16550
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