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Flexural wave dispersion in multi-walled carbon nanotubes conveying fluids

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Abstract

Motivated by the great potential of carbon nanotubes for developing nanofluidic devices, this paper presents a nonlocal elastic, Timoshenko multi-beam model with the second order of strain gradient taken into consideration and derives the corresponding dispersion relation of flexural wave in multi-walled carbon nanotubes conveying fluids. The study shows that the moving flow reduces the phase velocity of flexural wave of the lowest branch in carbon nanotubes. The phase velocity of flexural wave of the lowest branch decreases with an increase of flow velocity. However, the effects of flow velocity on the other branches of the wave dispersion are not obvious. The effect of microstructure characterized by nonlocal elasticity on the dispersion of flexural wave becomes more and more remarkable with an increase in wave number.

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Authors and Affiliations

  1. MOE Key Lab of Mechanics and Control of Aerospace Structures, Nanjing University Aeronautics and Astronautics, Nanjing, 210016, China

    Lifeng Wang & Haiyan Hu

  2. Institute of Nanoscience, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Lifeng Wang & Wanlin Guo

  3. School of Aerospace Engineering, Beijing Institute of Technology, Beijing, 100081, China

    Haiyan Hu

Authors
  1. Lifeng Wang
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  2. Wanlin Guo
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  3. Haiyan Hu
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Correspondence to Lifeng Wang.

Additional information

Project supported in part by the National Natural Science Foundation of China (No.10702026).

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Wang, L., Guo, W. & Hu, H. Flexural wave dispersion in multi-walled carbon nanotubes conveying fluids. Acta Mech. Solida Sin. 22, 623–629 (2009). https://doi.org/10.1016/S0894-9166(09)60392-X

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  • DOI: https://doi.org/10.1016/S0894-9166(09)60392-X

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