Non-Fourier Heat Conduction in a Semi-infinite Solid Subjected to Oscillatory Surface Thermal Disturbances
Non-Fourier Heat Conduction in a Semi-infinite Solid Subjected to Oscillatory Surface Thermal Disturbances
复制标题
受到振荡表面热扰动的半无限固体中的非傅里叶热传导
DOI：
10.1115/1.3250641
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发表时间：
1989
影响因子：
--
通讯作者：
S. Lee
中科院分区：
文献类型：
--
作者：
W. Yuen;S. Lee
近年来，许多研究人员探索了非傅里叶传导在瞬态过程中的影响。基于固体和液体热传导的弛豫模型，传统的热扩散方程被替换为考虑有限热传播速度的双曲方程。双曲方程的使用消除了扩散方程分析的非物理现象，该分析预测边界处阶跃热通量在介质中所有点处的瞬时温度扰动。随着时间变为零，它进一步消除了边界处无限温度梯度的特性。这项工作的目的是表明，如果热扰动是振荡的，并且振荡周期与热弛豫时间具有相同数量级，那么即使在初始瞬态之后的很长一段时间内，非傅里叶传导效应也可能很重要。特别是，产生了受到正弦边界热通量条件影响的半无限固体的热响应。本解决方案很容易说明，在许多实际情况下，例如用非常短的脉冲宽度的激光重复照射固体，使用传统的傅立叶热扩散方程进行传热分析可能会导致严重的错误。目前的结果还表明，可以通过测量固体的热响应来确定固体的热弛豫时间，可以通过测量高频热通量照射的固体的热响应来确定固体的热弛豫时间。 « less
Many investigators have explored the effect of non-Fourier conduction in transient processes in recent years. Based on a relaxation model for heat conduction in solids and liquids, the traditional heat diffusion equation is replaced with a hyperbolic equation that accounts for the finite thermal propagation speed. The use of the hyperbolic equation removes the nonphysical phenomenon of the diffusion equation analysis that predicts instantaneous temperature disturbances at all points in the medium for a step heat flux at the boundary. It further removes the peculiarity of an infinite temperature gradient at the boundary as time goes to zero. The objective of this work is to show that the non-Fourier conduction effect can be important even at a long-time after the initial transient if the thermal disturbance is oscillatory with the period of oscillation of the same order of the magnitude as the thermal relaxation time. In particular, the thermal response of a semi-infinite solid subjected to a sinusoidal boundary heat flux condition is generated. The present solution illustrates readily that, in many practical situations such as the repeated irradiation of a solid by a laser with very short pulse width, heat transfer analyses using the traditional Fourier heat diffusion equationmore » can result in significant errors. The current results also suggest that the thermal relaxation time of a solid can be determined by measuring the thermal response of the solid can be determined by measuring the thermal response of the solid irradiated by a high-frequency heat flux.« less