Fractional dual-phase-lag heat conduction with periodic heating and photo-thermal response-Reference-Cited by-同舟云学术

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

Published:2023 Issue:3 Part B Volume:27 Page:2537-2547
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:THERM SCI

Author:

Somer Aloisi¹,Novatski Andressa¹,Lenzi Marcelo²,da Silva³,Lenzi Ervin⁴

Affiliation:

1. Departamento de Fisica, Universidade Estadual de Ponta Grossa, Ponta Grossa, Brazil

2. Departamento de Engenharia Quimica, Universidade Federal do Parana, Curitiba, Brazil

3. Departamento de Fisica, Universidade Federal do Rio Grande do Norte, Natal, Brazil + National Institute of Science and Technology for Complex Systems, Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro, Brazil

4. Departamento de Fisica, Universidade Estadual de Ponta Grossa, Ponta Grossa Brazil + National Institute of Science and Technology for Complex Systems, Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro, Brazil

Abstract

We apply an extension of dual-phase-lag in thermal systems to predict the photoacoustic signal for transmission configuration and characteristics of the open photoacoustic cell technique. For this, we consider a particular case from Jeffrey?s equation as an extension of the generalized Cattaneo equations. 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 set-up. The results show a rich class of behaviors related to the anomalous diffusion connected to these fractional operators.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

Reference40 articles.

1. Pekalski, A., Diffusion Processes: Experiment, Theory, Simulations, Diffusion Processes, in: Experiment, Theory, Simulations, Springer, Berlin, Germany, 1994

2. Vlahos, L., et al., Normal and Anomalous Diffusion: A Tutorial, Patras Univ. Press, On-line first, htpps:// doi.org/10.48550/arXiv:0805.0419, 2008

3. Liang, L., et al., Magin, A Survey of Models of Ultraslow Diffusion in Heterogeneous Materials, Appl. Mech. Rev., 71 (2019) 040802

4. Pekalski, A., Sznajd-Weron, K., Anomalous Diffusion: From Basics to Applications, Springer, Berlin, Germany, 1999

5. Klafter, J., et al., Stochastic Pathway to Anomalous Diffusion, Phys. Rev. A, 35 (1987), 3081

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