连续热源加载下二维热扩散长度的数值模拟与测量

Numerical simulation and measurement of two-dimensional thermal diffusion length under continuous heat loading

  • 摘要: 热扩散系数是大能量、高功率激光系统中光学元件的重要参数,关系到元件的抗激光损伤性能,但现有热扩散系数测量方法在多维热传导情况下的测量结果误差较大,且热扩散长度是热扩散系数测量的基础,因此采用有限元法仿真了热源连续加热下的二维热传导并总结了热扩散长度与热扩散系数及加热时间之间的关系规律,据此提出了热源连续加热下测量二维热扩散长度的模型与方法。首先采用有限元分析建立模型仿真了一维热传导情况下的热扩散长度与热扩散系数的关系式并与数值解析表达式比较,二者符合较好,验证了使用连续热源与热扩散长度求解热扩散系数的可行性;之后扩展到二维热扩散情况,并讨论了热损失、样品厚度和热源加载时间对结果的影响;最后给出了实际测量方案,并给出提升测量精度措施。该工作为方便准确地测量材料或元件的热扩散长度提供思路,对制备高功率、大能量激光系统元件具有重要意义。

     

    Abstract: Thermal diffusion coefficient is an important parameter of optical components in high-energy and high-power laser systems, and it is related to the laser damage resistance of components. However, the measurement error of the existing thermal diffusion coefficient measurement methods is large under the condition of multi-dimensional thermal conduction. As thermal diffusion length is the basis of thermal diffusion coefficient measurement, our study used the finite element method to simulate the two-dimensional heat conduction under continuous heating of heat source, and summarized the relationship between thermal diffusion length, thermal diffusion coefficient and heating time. On this basis, it proposed a model and method for measuring two-dimensional thermal diffusion length under continuous heating of heat source. Firstly, finite element analysis was used to establish a model to simulate the relationship between thermal diffusion length and thermal diffusion coefficient in one-dimensional heat conduction, and the two models were compared with numerical analytical expressions. The feasibility of using continuous heat source and thermal diffusion length to solve the thermal diffusion coefficient was verified. The effects of heat loss, sample thickness and heat source loading time on the results were discussed. Finally, the practical measurement scheme and measures to improve the measurement accuracy were put forward. This study provides a way to measure the thermal diffusion length of materials or components conveniently and accurately, and is of great significance for fabrication of high power and high energy laser system components.

     

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