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Fractional dual-phase-lag heat conduction with periodic heating and photothermal response

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We apply an extension of dual-phase lag in thermal systems to predict the photoacoustic (PA) signal for transmission configuration and characteristics of the Open Photoacoustic Cell (OPC) technique. For this,… Click to show full abstract

We apply an extension of dual-phase lag in thermal systems to predict the photoacoustic (PA) signal for transmission configuration and characteristics of the Open Photoacoustic Cell (OPC) technique. For this, we consider a particular case from Jeffrey?s equation as an extension of the generalized Cattaneo equations (GCEs). In this context, we obtain the temperature distribution under the effects of fractional differential operators, allowing the calculation of the Photoacoustic signal for the transmission setup. The results show a rich class of behaviors related to the anomalous diffusion connected to these fractional operators.

Keywords: fractional dual; dual phase; lag heat; phase lag

Journal Title: Thermal Science
Year Published: 2023

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