Anomalous thermal diffusion in two-layer system: The temperature profile and photoacoustic signal for rear light incidence

We analyze the influence of the generalizations of hyperbolic (Cattaneo) heat equations (GCE) on temperature profile and photoacoustic signal for the two-layer samples. The GCE extensions employ fractional-order derivatives related to the anomalous thermal diffusion in solid. We compare the superdif...

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Bibliographic Details
Published in:	International journal of thermal sciences Vol. 179; p. 107661
Main Authors:	Somer, A., Popovic, M.N., da Cruz, G.K., Novatski, A., Lenzi, E.K., Galovic, S.P.
Format:	Journal Article
Language:	English
Published:	Elsevier Masson SAS 01-09-2022
Subjects:	Fractional order derivative GCEs generalization Subdiffusive diffusion Superdiffusive diffusion Thermal diffusion Thermal diffusion Fractional order derivative Subdiffusive diffusion Superdiffusive diffusion GCEs generalization
Online Access:	Get full text
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Summary:	We analyze the influence of the generalizations of hyperbolic (Cattaneo) heat equations (GCE) on temperature profile and photoacoustic signal for the two-layer samples. The GCE extensions employ fractional-order derivatives related to the anomalous thermal diffusion in solid. We compare the superdiffusive (GCEII) and subdiffusive (GCEIII) generalizations with the classical and hyperbolic results. To show the fractional-order influence on results, we analyze opaque layers of aluminum with dye by considering only the last one with the anomalous characteristic. The promising results show that minor variations in fractional order and relaxation time can influence the photoacoustic signal.
ISSN:	1290-0729 1778-4166
DOI:	10.1016/j.ijthermalsci.2022.107661