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 / Zingales, M; Failla, Giuseppe. - (2014). (Intervento presentato al convegno 12th International Conference on Heat Transfer, Thermal Engineering and Environment (HTE '14) tenutosi a Geneva, Switzerland nel 29-31 December 2014).
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
