各向异性层状材料非傅里叶传热数值模拟与分析

Numerical Simulation and Analysis of Non-Fourier Heat Conduction of Anisotropic Layered Materials

针对单脉冲激光辐照各向异性层状材料表面引起的非傅里叶传热问题,建立基于双曲型方程的非傅里叶热传导模型。采用有限元方法对瞬态温度场进行数值模拟,并针对模拟结果分析总结出非傅里叶传热的时空分布特征。研究结果表明强瞬态激光加热过程中温度以热波的形式以一定的速度向前传播,热波到达的区域存在温度变化,热波未传播到的位置则没有温度变化,传播过程中由于热波扩散损耗能量使波峰逐渐减小;通过改变各层导热系数发现径向导热系数对温度场的影响较小,而轴向导热系数对温度场的影响明显,使热波在层状材料交界处发生反射现象。研究结果可以为各向异性层状材料非傅里叶传热的相关实验研究提供一定的理论基础。

In this paper,based on the hyperbolic equation,t he non-Fourier heat conduction model of the anisotropic layered material was applied to the surface of the laser irradiated material.The finite element method was used to simulate the transient temperature field;and the spatiotemporal distribution characteristics of non-Fourier heat conduction were summarized and analyzed.The results showed that the temperature propagated forward at a certain speed in the form of thermal wave during intense transient laser heating.The area where the thermal wave had arrived had a temperature change;and the area where the thermal wave had not propagated had no temperature change;and the peak was gradually reduced due to the thermal wave diffusion loss energy during the propagation process.By changing the thermal conductivity of each layer,it was found that the radial thermal conductivity had little effect on the temperature field;and the axial thermal conductivity had a significant influence on the temperature field;so that the thermal wave was reflected at the boundary of the layered material.The results of this paper can provide a theoretical basis for the experimental study of non-Fourier heat conduction of anisotropic layered materials.