强激光与粒子束, 2002, 14 (2): 218, 网络出版: 2006-05-15  

有矩形脉冲内热源的平板中非傅里叶导热研究

Study on non-Fourier heat conduction subjected to a rectangular pulse heat source in a slab
作者单位
中国科学院工程热物理研究所,北京,100080
摘要
对矩形激光短脉冲能量以内热源形式在有限厚绝热平板内释放所导致的非傅里叶导热过程进行了理论研究,利用格林函数与有限积分变换方法求得了绝热平板内温度分布的解析解,分析了平板内热波传播与反射行为以及温度场的特征.研究结果表明,温度波动频率取决于平板厚度和材料的热弛豫时间,而其幅值则与内热源释放区域的大小和脉冲宽度的长短有关.
Abstract
This paper theoretically explores the non Fourier heat conduction process initiated by a rectangular pulsed heat source in a finite slab with insulated boundaries. Green's function and finite integral transform technique are used to obtain analytical solutions for temperature fields in the slab. The propagation and reflection of thermal wave, the effects of heat source and slab's geometric parameter on temperature fields are discussed. It is found that temperature wave frequency at a given location in the slab is relevant to slab's thickness and its thermal relaxation time while the amplitude of temperature wave bears a relation with heat source's distribution area and pulse duration.

胡学功, 刘登瀛, 周定伟. 有矩形脉冲内热源的平板中非傅里叶导热研究[J]. 强激光与粒子束, 2002, 14(2): 218. 胡学功, 刘登瀛, 周定伟. Study on non-Fourier heat conduction subjected to a rectangular pulse heat source in a slab[J]. High Power Laser and Particle Beams, 2002, 14(2): 218.

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