含双圆柱亚表面缺陷板条材料的表面温度分布

基于非傅里叶热传导方程,采用复变函数法和镜像法,研究了含双圆柱亚表面缺陷板条材料热波散射的温度场,并给出了热波散射温度场的解析解。分析了入射波波数、热扩散长度、缺陷的埋藏深度以及板条材料的厚度等对板条表面温度分布的影响。温度波由调制光束在材料表面激发,缺陷表面的边界条件为绝热。该分析方法和数值结果可为工程材料结构的传热分析、热波成像和材料内部缺陷评估,以及热物理反问题研究提供参考。

Surface temperature distributions of the slab materials with two cylindrical defects

In this paper, based on non-Fouriers heat conduction equation, using the image method and the complex function method, the multiple scattering of the boundaries of the slab material is solved. The temperature field of the thermal wave scattering from two subsurface cylindrical defects in the semi-infinite slab materials is investigated, a general solution of the scattering field of thermal waves is obtained. The frontal surface temperature of the slab materials under different incident wave number, thermal diffusion length, buried depth and the thickness of the slab are analyzed and illustrated graphically. In addition, the thermal waves are excited at frontal surfaces of the slab materials by modulated ultra-short laser pulse with an adiabatic boundary condition for defects. The analytical methods and the numerical results are expected to provide references for the heat transfer analysis of engineering material, the thermal wave imaging, physical inverse problem and non-destructive evaluation of defects in materials.