基于双曲型热传导方程,采用复变函数方法,对含圆柱缺陷半无限条形体中的热波散射进行了研究.给出了热波散射问题的一般解.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,板条上下表面的边界条件是等于环境温度.分析计算了几何参量和物理参量对测试表面温度分布的影响,特别是热波波长对温度变化的影响,并给出了非透明体表面温度变化数值结果.研究成果为红外热波成像、物理反问题、内部缺陷评估等问题中的分析研究提供了理论基础和参考数据.
Based on the hyperbolic tions, multiple scattering of thermal equation of heat conduction, using the waves from subsurface cylinders in the expansion method of complex funcsemi-infinite slab was investigated. A general solution of the thermal wave scattering was given. The thermal waves were excited at surfaces of opaque materials by modulated optical beams. The effects of geometrical and physical parameters on the temperature distribution were analyzed. The circular cylinder was taken as a cavity with thermal insulation conditions. The theory and numerical results of this paper can be used for infrared thermal wave imaging, physical inverse problem and evaluation of internal defects in materials.