• DocumentCode
    164934
  • 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
  • fYear
    2014
  • fDate
    23-25 June 2014
  • Firstpage
    1
  • Lastpage
    6
  • 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;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fractional Differentiation and Its Applications (ICFDA), 2014 International Conference on
  • Conference_Location
    Catania
  • Type

    conf

  • DOI
    10.1109/ICFDA.2014.6967411
  • Filename
    6967411