周期震荡温度场非傅立叶分析

NON-FOURIER ANALYSIS OF PERIODICAL VIBRATION TEMPERATURE FIELD

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 .

Studies the temperature fields in which the heat border condition is a high_instantly periodical heat source from the hyperbolic heat conduction equation,points out that the result of comparison between the above temperature fields and the thermal diffusion temperature field which originates from a parabolic heat conduction equation shows that during the high_instant heat conduction,the temperature is a thermal wave different from thermal diffusion;analyzes the thermal wave and the condition for its generation,and concludes that'Non_Fourier Effect'should be considered depending upon the scale and rate of relax time and exterior thermal disturbance.