Non-fourier heat conduction in carbon nanotubes

Hai Dong Wang, Bing Yang Cao, Zeng Yuan Guo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

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 1012 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 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.

Original languageEnglish
Title of host publicationProceedings of the ASME Micro/Nanoscale Heat and Mass Transfer International Conference 2009, MNHMT2009
Pages111-117
Number of pages7
DOIs
Publication statusPublished - Jul 12 2010
EventASME 2009 Micro/Nanoscale Heat and Mass Transfer International Conference 2009, MNHMT2009 - Shanghai, China
Duration: Dec 18 2009Dec 21 2009

Publication series

NameProceedings of the ASME Micro/Nanoscale Heat and Mass Transfer International Conference 2009, MNHMT2009
Volume3

Other

OtherASME 2009 Micro/Nanoscale Heat and Mass Transfer International Conference 2009, MNHMT2009
CountryChina
CityShanghai
Period12/18/0912/21/09

All Science Journal Classification (ASJC) codes

  • Fluid Flow and Transfer Processes

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