Acta Mechanica Solida Sinica

, Volume 30, Issue 5, pp 550–556 | Cite as

Quantum effects on thermal vibration of single-walled carbon nanotubes conveying fluid

  • Ye-Wei Zhang
  • Lin Zhou
  • Bo Fang
  • Tian-Zhi Yang


In this paper, we investigate the microfluid induced vibration of a nanotube in thermal environment. Attention is focused on a special case that the law of energy equipartition is unreliable unless the quantum effect is taken into account. A nonlocal Euler—Bernoulli beam model is used to model the transverse vibration of a single-walled nanotube (SWCNT). Results reveal that the root of mean squared (RMS) amplitude of thermal vibration of the fluid-conveying SWCNT predicted from the quantum theory is lower than that predicted from the law of energy equipartition. The quantum effect on the thermal vibration of the fluid-conveying SWCNT is more significant for the cases of higher-order modes, lower flow velocity, lower temperature, and lower fluid density.


Quantum effects Law of energy equipartition Fluid-conveying SWCNT Euler beam theory Root of mean-squared amplitude 


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2017

Authors and Affiliations

  • Ye-Wei Zhang
    • 1
  • Lin Zhou
    • 1
  • Bo Fang
    • 1
  • Tian-Zhi Yang
    • 1
    • 2
  1. 1.Department of AstronauticsShenyang Aerospace UniversityShenyangPR China
  2. 2.Department of MechanicsTianjin UniversityTianjinPR China

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