Journal
INTERNATIONAL JOURNAL OF THERMAL SCIENCES
Volume 161, Issue -, Pages -Publisher
ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
DOI: 10.1016/j.ijthermalsci.2020.106719
Keywords
Heat waves; Kerr effect; Nonlinear heat-transport equation; Extended thermodynamics; Heat lenses
Categories
Funding
- Spanish Ministry of Economy and Competitiveness [RTI 2018-097876-B-C22]
- Direccio General de Recerca of the Generalitat de Catalunya [2017SGR-1018]
- University of Salerno [300395FRB18SELLI, 300395FRB19SELLI]
- Italian Gruppo Nazionale per la Fisica Matematica'' under grant Progetto Giovani 2017''
- Italian Gruppo Nazionale per la Fisica Matematica'' under grant Progetto Giovani 2018
- Italian Gruppo Nazionale per la Fisica Matematica''
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The study shows that the nonlinear generalization of the Maxwell-Cattaneo equation affects the speed of propagation of nonlinear thermal waves, which depends on the amplitude of the waves and is smaller than the speed of linear waves. External heat flux can be used to control the speed of thermal waves in a material layer.
We study the consequences of a nonlinear generalization of the Maxwell-Cattaneo equation on the speed of propagation of nonlinear thermal waves. It turns out that such speed depends on the amplitude of the waves and it is smaller than the speed of linear (small-amplitude) waves. This is analogous to the optical Kerr effect of nonlinear optics. In analogy with the electro-optical Kerr effect, an imposed external heat flux could be used to control the speed of thermal waves in a material layer. As a particular illustration, we consider an externally tunable lens for heat waves propagating in the layer.
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