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Non-Fourier Heat Conduction in Carbon Nanotubes

机译：碳纳米管中的非傅立叶导热

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摘要

Fourier's law is a phenomenological law to describe the heat transfer process. Although it has been widely used in a variety of engineering application areas, it is still questionable to reveal the physical essence of heat transfer. In order to describe the heat transfer phenomena universally, Guo has developed a general heat conduction law based on the concept of thermomass, which is defined as the equivalent mass of phonon gas in dielectrics according to Einstein's mass-energy relation. The general law degenerates into Fourier's law when the thermal inertia is neglected as the heat flux is not very high. The heat flux in carbon nanotubes (CNTs) may be as high as 10~(12) W/m~2. In this case, Fourier's law no longer holds. However, what is estimated through the ratio of the heat flux to the temperature gradient by molecular dynamics (MD) simulations or experiments is only the apparent thermal conductivity (ATC); which is smaller than the intrinsic thermal conductivity (ITC). The existing experimental data of single-walled CNTs under the high-'bias current flows are applied to study the non-Fourier heat conduction under the ultra-high heat flux conditions. The results show that ITC and ATC are almost equal under the low heat flux conditions when the thermal inertia is negligible, while the difference between ITC and ATC becomes more notable as the heat flux increases or the temperature drops.
机译：傅立叶定律是描述传热过程的现象学定律。尽管它已被广泛用于各种工程应用领域，但揭示传热的物理本质仍然令人怀疑。为了普遍地描述传热现象，Guo根据热质的概念开发了一个一般的热传导定律，根据爱因斯坦的质能关系将其定义为电介质中声子气体的等效质量。当由于热通量不是很高而忽略热惯性时，一般定律会退化为傅立叶定律。碳纳米管（CNT）中的热通量可能高达10〜（12）W / m〜2。在这种情况下，傅立叶定律不再成立。但是，通过分子动力学（MD）模拟或实验通过热通量与温度梯度的比来估算的仅仅是表观热导率（ATC）。小于固有热导率（ITC）。利用现有的高偏压电流下单壁碳纳米管的实验数据来研究超高热通量条件下的非傅立叶导热。结果表明，当热惯量可忽略时，在低热通量条件下，ITC和ATC几乎相等，而当热通量增加或温度下降时，ITC和ATC之间的差异会变得更加明显。

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  • 来源
    《Journal of Heat Transfer》 |2012年第5期|p.051004.1-051004.6|共6页
  • 作者

    Hai-Dong Wang; Bing-Yang Cao; Zeng-Yuan Guo;

  • 作者单位

    Key Laboratory for Thermal Science and Power Engineering of Ministry of Education,Department of Engineering Mechanics,Tsinghua University,Beijing 100084, China;

    Key Laboratory for Thermal Science and Power Engineering of Ministry of Education,Department of Engineering Mechanics,Tsinghua University,Beijing 100084, China;

    Key Laboratory for Thermal Science and Power Engineering of Ministry of Education,Department of Engineering Mechanics,Tsinghua University,Beijing 100084, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    non-fourier heat conduction; thermomass; carbon nanotubes; thermal conductivity;

    机译：非傅立叶导热热质碳纳米管;导热系数;

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