Search results for " Temperature evolution"

showing 2 items of 2 documents

A physical description of fractional-order Fourier diffusion

2014

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.

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 conductorICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014
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An exact thermodynamical model of power-law temperature time scaling

2016

In this paper a physical model for the anomalous temperature time evolution (decay) observed in complex thermodynamical system in presence of uniform heat source is provided. Measures involving temperatures T with power-law variation in time as T(t)∝tβ with β∈R shows a different evolution of the temperature time rate T(t) with respect to the temperature time-dependence T(t). Indeed the temperature evolution is a power-law increasing function whereas the temperature time rate is a power-law decreasing function of time. Such a behavior may be captured by a physical model that allows for a fast thermal energy diffusion close to the insulated location but must offer more resistance to the therm…

PhysicsAnomalous conductionDiffusion equationField (physics)business.industryPower-lawTime evolutionTemperature evolutionGeneral Physics and AstronomyAnomalous conduction; Fractional derivative; Fractional Transport; Power-law; Temperature evolution;Function (mathematics)Fractional derivative01 natural sciencesPower law010305 fluids & plasmasFractional Transport010101 applied mathematics0103 physical sciencesStatistical physics0101 mathematicsDiffusion (business)businessSettore ICAR/08 - Scienza Delle CostruzioniScalingThermal energy
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