Journal
ACTA MECHANICA SOLIDA SINICA
Volume 30, Issue 5, Pages 550-556Publisher
SPRINGER
DOI: 10.1016/j.camss.2017.07.007
Keywords
Quantum effects; Law of energy equipartition; Fluid-conveying SWCNT; Euler beam theory; Root of mean-squared amplitude
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Funding
- National Natural Science Foundation of China [11672187, 11402151]
- Natural Science Foundation of Liaoning Province [201602573]
- Program for Liaoning Excellent Talents in University [LJQ2013020]
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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. (C) 2017 Published by Elsevier Ltd on behalf of Chinese Society of Theoretical and Applied Mechanics.
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