非傅里叶导热现象的双元相滞后模型剖析

Thorough study on Non-Fourier heat conduction with DPL model

针对实验观察到的多孔材料内的非傅里叶导热现象,采用双元相滞后(Dual-phase Lag)模型来描述多孔材料内的非傅里叶导热过程并进行了数值求解. 求解结果表明,若(T和(q取值恰当,双元相滞后模性地预测实验型可以定所观察到的非傅里叶导热现象；变化(T和(q的相对数值,介质中的非傅里叶导热将表现为不同的形式. 据此,文中对非傅里叶导热进行了较为全面的定义,指出了非傅里叶导热与传统意义上的热波并非等价.

Contraposing the Non-Fourier heat conduction phenomenon experimentally observed in porous material, in the paper the dual-phase lag (DPL) model is employed to describe it and the corresponding numerical solution is obtained. The solution indicates that if the parameters, (T and (q are assumed to be suitable values, the DPL model can predict the experimental Non-Fourier heat conduction phenomenon qualitatively; if the ratio (T /(q is assumed to be different values, different types of Non-Fourier heat conduction behavior will appear in the medium. Accordingly, a comparatively suitable definition of Non-Fourier heat conduction is obtained which indicates that the Non-Fourier heat conduction is not the equivalent of heat wave it is pointed out.