Fractal Characterization of Heat and Mass Transfer Processes in Nanostructured Materials

The relationship between the fractal self-organization of structural-phase inhomogeneity in nanostructured materials and the processes of heat and mass transfer in them is considered. It is characterized by a non-Euclidean relationship between the rate of increase in the number of the considered ele...

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Bibliographic Details
Published in:Journal of physics. Conference series 2021-11, Vol.2096 (1), p.12168
Main Authors: Kovalenko, A N, Zarichnyak, Yu P, Ivanov, V A, Bolshev, K N
Format: Article
Language:English
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Summary:The relationship between the fractal self-organization of structural-phase inhomogeneity in nanostructured materials and the processes of heat and mass transfer in them is considered. It is characterized by a non-Euclidean relationship between the rate of increase in the number of the considered elements of the medium and an increase in the scale of their consideration and is described by the transfer equations in fractional derivatives with respect to coordinate and time.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/2096/1/012168