摘要
根据爱因斯坦狭义相对论,热量具有其对应的相对论质量,并且引入了描述热质(热量)运动的连续方程、动量方程。本文根据热质(热量)运动控制方程组,导出了热质(热量)的波动方程,证明了热量具有波动的传递方式,当热质动能与热质的耗散在同一量级时,得到了有限的热波传播速度。分析了热波产生的物理机制。基于热质理论的热波模型与 CV模型进行了比较,指出了CV模型在物理上的缺陷。最后对一维热波的传播过程进行了数值模拟,给出了超快速导热过程的物理图像。
According to Einstein's principle of relativity, thermal energy has its own mass whose motion is described by a set of equations including continuity equation and momentum equation, from which, thermal wave equation is derived in this paper. The derivation proves that, at extreme short time scale, heat disturbance in the specimen proceeds by wave propagation rather than by diffusion. A finite propagation velocity of thermal wave is presented. The causation of thermal wave is analyzed from a physical point of view. Thermal wave model based on Thermal-mass theory is also compared with Cattaneo-Vernotte (CV) model and some physical defects of CV model are presented. A numerical simulation of wave propagation in one-dimension specimen is performed.
出处
《工程热物理学报》
EI
CAS
CSCD
北大核心
2006年第2期271-273,共3页
Journal of Engineering Thermophysics
基金
国家"973"重点基础研究项目资助(No.G2000026301)
关键词
热质
热波
CV模型
thermal mass
thermal wave
CV model