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从双曲线型热传导微分方程出发 ,研究了当边界条件为高频周期加热的第一类边界条件时 ,其温度场的分布情况 ,并与从抛物 8线型导热微分方程出发的热扩散情况下的温度场进行了对比 .结果表明 ,在瞬态导热过程中 ,温度场是一种与扩散机制完全不同的热波 .本文还对热波及其产生的条件进行了深入的分析 ,指出松弛时间的大小和外界热扰动的数量级大小以及材料的热尺度等是决定是否应该考虑非傅立叶效应的主要因素 .
From the hyperbolic differential equations of heat conduction, the distribution of the temperature field in the first kind of boundary conditions when the boundary condition is high frequency periodic heating is studied. And with the thermal diffusion from the parabolic 8-linear differential thermal equation The results show that the temperature field is a completely different heat wave from the diffusion mechanism during the transient thermal conduction.The paper also analyzes the heat wave and the conditions of the generated heat flow in detail and points out that the relaxation time The size and magnitude of thermal disturbances in the outside world, as well as the thermal dimensions of the material, etc., are the main determinants of whether non-Fourier effects should be considered.