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Pressure dependence of the instability of multiwalled carbon nanotubes conveying fluids

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Abstract

Based on an elastic beam model, the instability of multiwalled carbon nanotubes (MWCNTs) induced by the moving fluid inside is investigated. At critical flow velocities, the MWCNTs become unstable and undergo pitchfork bifurcation and subsequently Hopf bifurcation. These critical velocities are found to increase very quickly with respect to decreasing inner radius and are inversely proportional to the length-to-outer-radius ratio. The effect of the van der Waals (vdW) interaction between tubes is investigated and it is found that the vdW interaction can enhance the stability of MWCNTs in general, but the vdW interaction reduces the stability capacity of MWCNTs with very small inner radius.

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Authors and Affiliations

  1. Department of Building and Construction, City University of Hong Kong, Hong Kong, Hong Kong

    X. Q. He

  2. Engineering Science Programme and Department of Civil Engineering, National University of Singapore, Kent Ridge, Singapore, 119260

    C. M. Wang

  3. Department of Engineering Mechanics, Kunming University of Science and Technology, Kunming, 650051, Yunnan, China

    Y. Yan & L. X. Zhang

  4. Institute of Applied Mechanics, School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, 200092, People’s Republic of China

    G. H. Nie

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  1. X. Q. He
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  2. C. M. Wang
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  3. Y. Yan
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  5. G. H. Nie
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Correspondence to X. Q. He.

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He, X.Q., Wang, C.M., Yan, Y. et al. Pressure dependence of the instability of multiwalled carbon nanotubes conveying fluids. Arch Appl Mech 78, 637–648 (2008). https://doi.org/10.1007/s00419-007-0184-3

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  • DOI: https://doi.org/10.1007/s00419-007-0184-3

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