https://doi.org/10.1140/epjp/s13360-024-05414-6
Regular Article
Dual-phase-lag heat conduction analysis of a three-dimensional finite medium heated by a moving laser beam with circular or annular cross-section
1
School of Mathematics, Nanjing University of Aeronautics and Astronautics, 211106, Nanjing, China
2
Key Laboratory of Mathematical Modelling and High Performance Computing of Air Vehicles (NUAA), MIIT, 211106, Nanjing, China
Received:
21
September
2023
Accepted:
30
June
2024
Published online:
8
July
2024
In this paper, we analyze the non-Fourier dual-phase-lag heat transfer process in a three-dimensional medium heated by a moving circular or annular laser beam, which is composed of a set of point heat sources in the cross-section. The analytical solution of the temperature distribution on the medium is established using Green’s function approach and superposition principle. According to this solution, the temperature variation on the surface and inside of the medium is investigated. The results in comparison to that of Fourier’s law show the effect of the phase lag parameters on the temperature distribution. In addition, the effects of laser spot size and laser moving speed on the temperature distribution are also discussed. The discovered properties would provide theoretical support for the practical application of the dual-phase-lag model in moving laser heat source problems.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
