Thermal waves scattering by two subsurface spherical cavities and temperature distribution
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摘要: 基于非Fourier热传导方程,采用波函数展开法,对含双球形孔洞缺陷的半无限体材料内部的热波散射与温度分布进行了研究,给出了材料内部任一点温度的解析解和表面温度分布的数值计算结果。分析了孔洞的几何参数和物理参数对金属材料表面温度分布的影响。结果表明:相对热扩散长度、入射波波数和埋藏深度对表面温度分布的影响比较大,当孔洞间距较大时,可以忽略孔洞之间的热波散射。
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关键词:
- 非Fourier热传导 /
- 球形孔洞 /
- 热波散射 /
- 温度分布
Abstract: The hole defect is one kind of the most common defects for engineering materials. The non-contacting photothermal nondestructive testing is widely used to ensure the safety and reliability of the materials. Based on non-Fourier heat conduction law and employing the methods of wave function expansion, the thermal waves scattering and temperature distribution at the surface of semi-infinite metal material with double subsurface spherical holes were investigated in the paper. The analytical solution and the numerical calculation result of the problem were presented. The effects of geometrical parameters of the defects and the physical parameters on surface temperature distribution of the semi-infinite material were analyzed. The computed results show that the relative thermal diffusion length, the incident wave number and the buried depth have great influences on the surface temperature and the maximum surface temperature. And the thermal wave scattering between the two holes can be ignored when the hole pitch is big enough.
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