The ultra-fast laser heating process of nano-films is characterized by an ultra-short duration and ultra-small space size, in which the classical Fourier law based on the hypothesis of local equilibrium is no longer applicable. Based on the Cattaneo–Vernotte (CV) model and the dual-phase-lag (DPL) model, the two-dimensional analytical solutions of heat conduction in nano-films under ultra-fast laser are obtained using the integral transformation method. The results show that there is a thermal wave phenomenon inside the film, which becomes increasingly evident as the elapse of the lag time of the temperature gradient. Moreover, the wave amplitude in the vertical direction is much larger than that in the horizontal direction of the nano-film. By comparing the numerical result of the two models, it is found that the temperature distribution inside the nano-film based on the DPL model is gentler than that of the CV model. Additionally, the temperature distribution in the two-dimensional solution is lower than that in the one-dimensional solution under the same Knudsen number. In the comparison results of the CV model, the maximum peak difference in the thermal wave reaches 75.08 K when the Knudsen number is 1.0. This demonstrates that the horizontal energy carried by the laser source significantly impacts the temperature distribution within the film.

Application of Hybrid Monte Carlo Algorithm in Heat Transfer

Non-Fourier Heat Conduction of Nano-Films under Ultra-Fast Laser

In engineering science, analysis of inverse problems is a rapidly growing discipline following computer evolution and developments in numerical methods. In geomechanics, numerous works are concerning parameter identification in contrast with boundary determination problems. Some review of inverse problems in geomechanics is presented in this work. Discussion on well-posedness of inverse problems is also presented here along with recent developments in the area. Finally, some examples will be discussed. Hybrid methods and interdisciplinary research can be considered in future works.

Application of Hybrid Monte Carlo Algorithm in Heat Transfer

Citations

Non-Fourier Heat Conduction of Nano-Films under Ultra-Fast Laser

References

Inverse problems in geomechanics: Review and examples

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