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Nonlinear heat-transport equation beyond Fourier law: application to heat-wave propagation in isotropic thin layers

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Abstract

By means of a nonlinear generalization of the Maxwell–Cattaneo–Vernotte equation, on theoretical grounds we investigate how nonlinear effects may influence the propagation of heat waves in isotropic thin layers which are not laterally isolated from the external environment. A comparison with the approach of the Thermomass Theory is made as well.

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Authors and Affiliations

  1. Department of Industrial Engineering, University of Salerno, Campus of Fisciano, 84084, Fisciano, Italy

    A. Sellitto

  2. Department of Mathematics, University of Salerno, Campus of Fisciano, 84084, Fisciano, Italy

    V. Tibullo

  3. Department of Mechanical and Aerospace Engineering, University of Missouri, Columbia, Missouri, 65211, USA

    Y. Dong

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  1. A. Sellitto
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  2. V. Tibullo
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  3. Y. Dong
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Correspondence to A. Sellitto.

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Communicated by Andreas Öchsner.

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Sellitto, A., Tibullo, V. & Dong, Y. Nonlinear heat-transport equation beyond Fourier law: application to heat-wave propagation in isotropic thin layers. Continuum Mech. Thermodyn. 29, 411–428 (2017). https://doi.org/10.1007/s00161-016-0538-6

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  • DOI: https://doi.org/10.1007/s00161-016-0538-6

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