Fractional thermal diffusion and the heat equation
نویسندگان
چکیده
منابع مشابه
Modeling Diffusion to Thermal Wave Heat Propagation by Using Fractional Heat Conduction Constitutive Model
Based on the recently introduced fractional Taylor’s formula, a fractional heat conduction constitutive equation is formulated by expanding the single-phase lag model using the fractional Taylor’s formula. Combining with the energy balance equation, the derived fractional heat conduction equation has been shown to be capable of modeling diffusion-to-Thermal wave behavior of heat propagation by ...
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The relation between the heat flux vector and temperature gradient is called heat conduction constitutive model. The most well known constitutive relation in heat transfer is Fourier model which is originally based on experimental observations. This model which is pure diffusive in nature considers the instantaneous flow of heat in the medium in the presence of even a small temperature gradient...
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ژورنال
عنوان ژورنال: Open Physics
سال: 2015
ISSN: 2391-5471
DOI: 10.1515/phys-2015-0023