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极端条件下的传热问题是工程热物理研究中的重要课题。基于非傅里叶热传导定律,采用波函数展开法,研究了含圆柱缺陷非透明体中热波散射问题。基于热传导波动模型给出了物体中热波多重散射问题的一般解。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。具体分析了几何参量、各物理参量对温度分布的影响,特别分析了热波波长对温度变化的作用,并给出了温度变化的数值结果。研究结果可望为红外辐射技术、热波成像等问题的分析提供理论基础和参考数据。在检测金属材料缺陷空间分布的激光热波探测系统中应用。
The heat transfer problem under extreme conditions is an important issue in engineering thermophysics. Based on the non-Fourier heat conduction law, the wave function expansion method is used to study the heat wave scattering problem in non-transparent body with cylindrical defects. A general solution to the multiple scattering problem of heat waves in an object is given based on the heat conduction fluctuation model. The temperature wave is excited by the modulated light beam on the material surface, and the boundary condition of the defect surface is adiabatic. The effects of geometric parameters and physical parameters on the temperature distribution are analyzed in detail. The effects of the wavelength of the thermal wave on the temperature are especially analyzed. The numerical results of the temperature variation are given. The results are expected to provide theoretical basis and reference data for the analysis of infrared radiation technology, thermal wave imaging and other issues. The Application of Laser Thermal Wave Detection System to Detect the Spatial Distribution of Defects in Metal Materials.