研究目的
Investigating the thermal analysis of nanoscale heat conduction induced by ultrashort-pulsed laser heating through the development of a nanoscale parabolic two-step model and an accurate numerical scheme.
研究成果
The proposed nanoscale parabolic two-step model and the developed numerical scheme provide an effective tool for analyzing nanoscale heat conduction induced by ultrashort-pulsed laser heating. The scheme is unconditionally stable and convergent with high accuracy, making it suitable for further research in nanoscale thermal analysis.
研究不足
The study assumes constant thermal properties and does not account for variable coefficients in the model. The boundary condition parameter α needs to be determined to match solutions with the Boltzmann transport equation.
1：Experimental Design and Method Selection:
The study employs a fourth-order accurate compact finite difference method for solving the nanoscale parabolic two-step model. The model is derived by introducing the Knudsen number into the original parabolic two-step heat conduction equations and coupling them with a Kn-dependent and temperature-jump boundary condition.
2：Sample Selection and Data Sources:
The study uses thermal properties of gold film and parameters related to ultrashort-pulsed laser heating as the basis for simulations.
3：List of Experimental Equipment and Materials:
Not explicitly mentioned in the paper.
4：Experimental Procedures and Operational Workflow:
The numerical scheme is applied to solve the model under various conditions, including different Knudsen numbers and boundary conditions, to analyze the heat conduction phenomena.
5：Data Analysis Methods:
The stability and convergence of the numerical scheme are analyzed theoretically, and the accuracy is tested through numerical experiments.
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