6533b832fe1ef96bd129a583
RESEARCH PRODUCT
A physical description of fractional-order Fourier diffusion
Massimiliano ZingalesGianluca Alaimosubject
Materials scienceDifferential equationMathematics::Number TheoryOperator (physics)Mathematical analysisCondensed Matter::Mesoscopic Systems and Quantum Hall EffectConductorsymbols.namesakeFourier transformFourier numberThermal diffusion Fourier Equations Fractional-order calculus Temperature evolutionHeat transfersymbolsDiffusion (business)Settore ICAR/08 - Scienza Delle CostruzioniElectrical conductordescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-06-01 | ICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014 |