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Non-Fourier heat conduction study for steady states in metallic nanofilms

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  • Engineering Thermophysics
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  • Published: 12 August 2012
  • Volume 57, pages 3239–3243, (2012)
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Chinese Science Bulletin
Non-Fourier heat conduction study for steady states in metallic nanofilms
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  • HaiDong Wang1,
  • JinHui Liu1,
  • ZengYuan Guo1 &
  • …
  • Koji Takahashi2 
  • 1304 Accesses

  • 10 Citations

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Abstract

As a fundamental theory of heat transfer, Fourier’s law is valid for most traditional conditions. Research interest in non-Fourier heat conditions is mainly focused on heat wave phenomena in non-steady states. Recently, the thermomass theory posited that, for steady states, non-Fourier heat conduction behavior could also be observed under ultra-high heat flux conditions at low ambient temperatures. Significantly, this is due to thermomass inertia. We report on heat conduction in metallic nanofilms from large currents at low temperatures; heat fluxes of more than 1×1010 W m−2 were used. The measured average temperature of the nanofilm is larger than that based on Fourier’s law, with temperature differences increasing as heat flux increased and ambient temperature decreased. Experimental results for different film samples at different ambient temperatures reveal that non-Fourier behavior exists in metallic nanofilms in agreement with predictions from thermomass theory.

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References

  1. Fourier J. Analytical Theory of Heat. New York: Dover Publishers, 1955. 84–86

    Google Scholar 

  2. Cattaneo C. Sulla conduzione del calore. Atti Sem Mat Fis Univ Modena, 1948, 3: 83–101

    Google Scholar 

  3. Vernotte P C R. Les paradoxes de la théorie continue de l’équation de la chaleur. Acad Sci, 1958, 246: 3154–3155

    Google Scholar 

  4. Morse P M, Feshbach H. Methods of Theoretical Physics. New York: McGraw-Hill, 1953. 165–166

    Google Scholar 

  5. Tzou D Y. The generalized lagging response in small-scale and high-rate heating. Int J Heat Mass Transfer, 1995, 38: 3231–3240

    Article  Google Scholar 

  6. Wang H D, Cao B Y, Guo Z Y. Heat flow choking in carbon nanotubes. Int J Heat Mass Transfer, 2010, 53: 1796–1800

    Article  Google Scholar 

  7. Cao B Y, Guo Z Y. Equation of motion of a phonon gas and non-Fourier heat conduction. J Appl Phys, 2007, 102: 053503

    Article  Google Scholar 

  8. Guo Z Y, Cao B Y, Zhu H Y, et al. State equation of phonon gas and conservation equations for phonon gas motion(in Chinese). Acta Phys Sin, 2007, 56: 3306–3312

    Google Scholar 

  9. Peshkov V. “Second sound” in helium II. J Physics-USSR, 1944, 8: 381–381

    Google Scholar 

  10. Landau L. Theory of the superfluidity of helium II. Phys Rev, 1941, 60: 356–358

    Article  Google Scholar 

  11. Wang H D, Ma W G, Zhang X, et al. Measurement of the thermal wave in metal films using femtosecond laser thermoreflectance system (in Chinese). Acta Phys Sin, 2010, 59: 3856–3862

    Google Scholar 

  12. Chester M. Second sound in solids. Phys Rev, 1963, 131: 2013–2015

    Article  Google Scholar 

  13. Narayana V, Dynes R C. Observation of second sound in bismuth. Phys Rev Lett, 1972, 28: 1461–1465

    Article  Google Scholar 

  14. Brorson S D, Fujimoto J G, Ippen E P. Femtosecond electronic heat-transport dynamics in thin gold-films. Phys Rev Lett, 1987, 59: 1962–1965

    Article  Google Scholar 

  15. Wang H D, Liu J H, Zhang X, et al. Experimental study on the influences of grain boundary scattering on the charge and heat transport in gold and platinum nanofilms. Heat Mass Transfer, 2011, 47: 893–898

    Article  Google Scholar 

  16. Zhang Q G, Cao B Y, Zhang X, et al. Size effects on the thermal conductivity of polycrystalline platinum nanofilms. J Phys: Condens Matter, 2006, 18: 7937–7950

    Article  Google Scholar 

  17. Ma W G, Wang H D, Zhang X, et al. Different effects of grain boundary scattering on charge and heat transport in polycrystalline platinum and gold nanofilms. Chin Phys B, 2009, 18: 2035–2040

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, School of Aerospace, Tsinghua University, Beijing, 100084, China

    HaiDong Wang, JinHui Liu & ZengYuan Guo

  2. Graduate School of Engineering, Kyushu University, Fukuoka, 819-0395, Japan

    Koji Takahashi

Authors
  1. HaiDong Wang
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  2. JinHui Liu
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  3. ZengYuan Guo
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  4. Koji Takahashi
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Corresponding author

Correspondence to ZengYuan Guo.

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Wang, H., Liu, J., Guo, Z. et al. Non-Fourier heat conduction study for steady states in metallic nanofilms. Chin. Sci. Bull. 57, 3239–3243 (2012). https://doi.org/10.1007/s11434-012-5288-7

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  • Received: 22 February 2012

  • Accepted: 02 May 2012

  • Published: 12 August 2012

  • Issue Date: August 2012

  • DOI: https://doi.org/10.1007/s11434-012-5288-7

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Keywords

  • Fourier’s law
  • non-Fourier behavior
  • thermomass theory
  • metallic nanofilm
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