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经典的傅里叶导热定律只适用于扩散导热.在瞬态导热过程中,为了描述热量的波动输运,基于热质理论建立了普适导热定律.对于微纳尺度的器件,由于弹道输运的作用,傅里叶导热定律也将失效.然而现有普适导热定律尚不能描述由弹道输运引起的非傅里叶导热现象.本文通过边界条件修正的方法将普适导热定律扩展到了弹道扩散导热区域.首先用热质理论的观点分析了弹道扩散导热机理;然后从声子玻尔兹曼方程出发推导了修正边界条件模型;最后数值求解了修正的普适导热定律并与蒙特卡罗模拟进行对比,验证了本文模型的正确性.
In the process of transient heat conduction, the classical law of heat conduction is only used for the diffusion heat conduction. In order to describe the fluctuating transport of heat, a universal law of heat conduction is established based on the heat-mass theory. For the micro-nano scale devices, However, the existing laws of general heat conduction can not describe the non-Fourier thermal phenomenon caused by ballistic transport.Based on the method of boundary condition modification, this paper extends the generalized heat conduction law to the trajectory Diffusion heat conduction area.Firstly, the thermal diffusion mechanism of ballistic diffusion was analyzed from the viewpoint of thermal mass theory. Then, the modified boundary condition model was deduced from the phonon Boltzmann equation. Finally, the modified universal heat conduction law was solved and compared with Monte Carlo Compared with the simulation, the correctness of this model is verified.