Title :
A physical description of fractional-order Fourier diffusion
Author :
Zingales, Massimiliano ; Alaimo, Gianluca
Author_Institution :
Dipt. di Ing. Civile, Ambientale, Aerosp. e dei Mater., Univ. degli Studi di Palermo, Palermo, Italy
Abstract :
In this paper the authors introduce a physical picture of anomalous heat transfer in rigid conductor. The analysis shows that a fractional-order Fourier transport is obtained by the analysis of the heat transport in a functionally graded conductor. The order of the fractional-type operator obtained is related to the grading of the physical properties of the conductor.
Keywords :
Fourier analysis; conductors (electric); functionally graded materials; heat transfer; thermal diffusion; anomalous heat transfer; fractional-order Fourier diffusion; fractional-order Fourier transport; fractional-type operator; functionally graded conductor; heat transport analysis; physical properties; rigid conductor; Conductors; Differential equations; Equations; Heat transfer; Heating; Temperature measurement;
Conference_Titel :
Fractional Differentiation and Its Applications (ICFDA), 2014 International Conference on
Conference_Location :
Catania
DOI :
10.1109/ICFDA.2014.6967411
