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基于热质的概念建立了热量输运的守恒方程,并得到了考虑热质运动的空间和时间惯性的普适导热方程,该方程反映了一般条件下热的波动传递现象.当热流和温度的空间惯性以及温度的时间惯性可以忽略时,所得到的导热定律退化为CV模型,表明CV模型实质上仅考虑了热流对时间的惯性效应.对热波传递和叠加现象的数值分析表明:当热扰动较小时,热流对空间加速的惯性可以忽略,基于热质理论的热波方程和CV模型符合得较好;但是,在描述较大的热扰动时,由于热流对空间的加速惯性不能忽略,CV模型的求解结果会出现负温度的非物理现象,而基于热质理论的热波方程则克服了这一缺陷.
Based on the concept of thermal mass, the conservation of heat transfer is established, and the generalized thermal equation considering the space and time inertia of thermal mass motion is obtained, which reflects the heat transfer under normal conditions. When the heat flux and temperature Space inertia and time inertia of temperature can be neglected, the obtained thermal conduction law degenerates into a CV model, indicating that the CV model only considers the inertial effect of the heat flux on time essentially.Numerical analysis of the heat wave propagation and superposition phenomena shows that when the heat When the disturbance is small, the inertia of the heat flow to space acceleration can be neglected. The heat wave equation based on thermal theory is in good agreement with the CV model. However, when the large thermal disturbance is described, the acceleration inertia of the space can not be neglected. The CV model solves the non-physical phenomenon of negative temperature, and the thermal wave equation based on thermal theory overcomes this defect.