考虑非傅里叶效应的亚表面球形异质缺陷的热波散射

Thermal wave scattering from subsurface spheroids heteroplasmon defects including non-Fourier effects

  • 摘要: 以往对材料内缺陷热波散射问题的研究,多假定孔洞缺陷内无异质且边界条件为绝热的。异质体孔洞缺陷是工程中更为常见的情况。基于非Fourier热传导方程,采用波函数展开法,对含异质球形缺陷的半无限体内部的热波散射与温度分布进行了研究。给出了问题的解析解和数值计算结果。分析了缺陷物理参数和几何参数以及入射波波数等对材料表面温度分布的影响。结果表明:异质体的物理参数和几何参数等对材料表面温度的影响是显著的,主要影响因素包括无量纲导热系数,无量纲热扩散长度,无量纲埋藏深度等。

     

    Abstract: The research on thermal wave scattering problem of the defect inside the material before presuming no heteroplasmon inside the hole and the boundary condition was adiabatic. Based on non-Fourier heat conduction law, employing the methods of wave function expansion, the thermal scattered and temperature distribution in semi-infinite material with subsurface spherical heteroplasmon defects was investigated. The analytical solution and the numerical calculation result of the problem were presented. The effects of physical and geometrical parameter of defects and the incident wave number on surface temperature distribution of the semi-infinite material were analyzed. Result has shown that the physical and geometrical parameter of the heteroplamon have great influence on the surface temperature of the material. And the main influence factors include non-dimensional heat conductivity coefficient, non-dimensional thermal diffusion length, non-dimensional buried depth and so on.

     

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