Derivation of the nonlinear heating conduction equation and calculation of the temperature field heated by laser

Yiying Zhou; Junchang Li; Ling-Yun Zhou

doi:10.1117/12.361202

8 September 1999 Derivation of the nonlinear heating conduction equation and calculation of the temperature field heated by laser

Yiying Zhou, Junchang Li, Ling-Yun Zhou

Author Affiliations +

Proceedings Volume 3862, 1999 International Conference on Industrial Lasers; (1999) https://doi.org/10.1117/12.361202
Event: International Symposium on Industrial Lasers, 1999, Wuhan, China

Abstract

In order to overcome the so called heat conduction paradox which was caused by Fourier heat conduction leading to the infinitive heat conduction velocity, M. Chester proposed a modification heat conduction eq. from macroscopic point of view, but this paper derived Chester's modification heat conduction eq. from microscopic point of view by means of phonon model. Furthermore, we solved the Chester's eq. by means of Solid Quantum Theory, and made us of it to compute the temperature field by laser heating.

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Yiying Zhou, Junchang Li, and Ling-Yun Zhou "Derivation of the nonlinear heating conduction equation and calculation of the temperature field heated by laser", Proc. SPIE 3862, 1999 International Conference on Industrial Lasers, (8 September 1999); https://doi.org/10.1117/12.361202

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