The entropy generation rate in a low dimensional film is formulated incorporating the heat flux and effective thermal conductivity of the film material. In the analysis, the mathematical formulation employed is kept the same as that used in the diffusive regime. However, the entropy generation rate is corrected by replacing the bulk thermal conductivity with an effective thermal conductivity evaluated from the Boltzmann equation. The entropy generation rate using the phonon distribution from the equation of phonon radiative transport in the film material is employed. The results show that both formulations result in a very close match for the entropy generation rates.

中文翻译：

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使用有效热导率估计弹道扩散声子传输的熵生成率

低维薄膜中的熵产生率是结合薄膜材料的热通量和有效热导率来制定的。在分析中，所使用的数学公式与扩散区域中使用的数学公式保持一致。然而，熵产生率是通过用从玻尔兹曼方程评估的有效热导率替换体热导率来校正的。使用来自膜材料中声子辐射传输方程的声子分布的熵产生率被采用。结果表明，两种公式的熵生成率都非常接近。