The coupling vibration of fluid-filled carbon nanotubes

Wang, X Y; Sheng, Guodong

doi:10.1088/0022-3727/40/8/022

Cited by 36 publications

(16 citation statements)

References 35 publications

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“…However, getting the theoretical boundary conditions to simulate the actual stiffness of the supports is still a challenge, in particular for nanostructures [30]. Consequently, to show the effects of the boundary stiffness on the vibration characteristics of CNTs, typical and standard boundary conditions are usually applied [21][22][23][24][25][26]. As mentioned above, this model has been solved for P-P, C-P and C-C conditions.…”

Section: The Effects Of the Boundary Conditionsmentioning

confidence: 99%

Vibration and instability of a viscous-fluid-conveying single-walled carbon nanotube embedded in a visco-elastic medium

Soltani

Taherian

Farshidianfar

2010

J. Phys. D: Appl. Phys.

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In this study, for the first time, the transverse vibrational model of a viscous-fluid-conveying single-walled carbon nanotube (SWCNT) embedded in biological soft tissue is developed. Nonlocal Euler-Bernoulli beam theory has been used to investigate fluid-induced vibration of the SWCNT while visco-elastic behaviour of the surrounding tissue is simulated by the Kelvin-Voigt model. The results indicate that the resonant frequencies and the critical flow velocity at which structural instability of nanotubes emerges are significantly dependent on the properties of the medium around the nanotube, the boundary conditions, the viscosity of the fluid and the nonlocal parameter. Detailed results are demonstrated for the dependence of damping and elastic properties of the medium on the resonant frequencies and the critical flow velocity. Three standard boundary conditions, namely clamped-clamped, clamped-pinned and pinned-pinned, are applied to study the effect of the supported end conditions. Furthermore, it is found that the visco-elastic foundation causes an obvious reduction in the critical velocity in comparison with the elastic foundation, in particular for a compliant medium, pinned-pinned boundary condition, high viscosity of the fluid and small values of the nonlocal coefficient.

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Section: The Effects Of the Boundary Conditionsmentioning

confidence: 99%

Vibration and instability of a viscous-fluid-conveying single-walled carbon nanotube embedded in a visco-elastic medium

Soltani

Taherian

Farshidianfar

2010

J. Phys. D: Appl. Phys.

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“…Since molecular dynamic simulations are difficult for large-scale systems, continuum mechanics models have been utilized to investigate the vibrational behavior of CNTs conveying fluid [64][65][66][67][68][69][70]. Natsuki et al [64] studied the wave propagation in single-or double-walled carbon nanotubes (DWCNTs) filled with internal flowing fluids by using an elastic shell model.…”

Section: Vibrations Of Nanotubes Conveying Fluidmentioning

confidence: 99%

“…In 2007, Reddy et al [67] investigated the effect of fluid flow on the free vibration and instability of fluid-conveying single-walled carbon nanotubes (SWCNTs), using both atomistic and Euler beam models. Wang et al [68] reported some results of an investigation into the influence of internal flowing fluid on the coupling vibration of fluid-filled CNTs; again, the Euler beam model was used. Recently, Wang and Ni [69] further analyzed the fluid-conveying CNT model developed by Yoon et al [65] and explored the possible postdivergence flutter existing in the same dynamical model.…”

Section: Vibrations Of Nanotubes Conveying Fluidmentioning

confidence: 99%

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Vibration of Slender Structures Subjected to Axial Flow or Axially Towed in Quiescent Fluid

Wang

2009

Advances in Acoustics and Vibration

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The vibrations and stability of slender structures subjected to axial flow or axially towed in quiescent fluid are discussed in this paper. A selective review of the research undertaken on it is presented. It is endeavoured to show that slender structures subjected to axial flow or axially towed in quiescent fluid are capable of displaying rich dynamical behavior. The basic dynamics of straight and curved pipes conveying fluid (with or without motion constraints), carbon nanotubes conveying fluid, tubular beams subjected to both internal and external flows in axial direction, slender structures in axial flow or axially towed in quiescent fluid, cylindrical shells conveying or immersed in axial flow, solitary plate or parallel-plate assembly in axial flow; linear, nonlinear, and chaotic dynamics; these and many more are some of the aspects of the problem considered.

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“…In continuum simulations of the vibration (Lee and Chang, 2009;Wang et al, 2007;Yoon et al, 2005Yoon et al, , 2006Reddy et al, 2007) or wave propagation (Dong et al, 2008;Natsuki et al, 2007) of CNTs conveying fluid, the CNTs were modeled as a shell or beam, with the inner fluid regarded as a continuum fluid. However, although previous experiments (Rao et al, 2001;Garg ct al., 1998;Treacy et al, 1996;Poncharal et al, 1999) have shown that the application of a shell (He et al, 2005;Hu et al, 2008) or beam model (Sudak, 2003) to CNTs is largely reasonable, whether the inner fluid should be regarded as a continuum, the basic assumption of continuum fluid mechanics (Paidoussis, 1998), is more questionable.…”

Section: Introductionmentioning

confidence: 99%

A Continuum Model of the Van der Waals Interface for Determining the Critical Diameter of Nanopumps and its Application to Analysis of the Vibration and Stability of Nanopump Systems

Kuang¹,

Shi²,

Chan³

et al. 2010

International Journal of Nonlinear Sciences and Numerical Simulation

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Carbon nanotubes make ideal nanopumps for the transport of fluid. To analyze the vibration and stability of nanopump systems with inner fluid effectively, it is necessary to incorporate nanoscale effects into continuum-based simulations. This paper first proposes a continuum model for the van der Waals (vdW) interface between a single-wall carbon nanotube (SWCNT) and incompressible inner fluid to determine the critical tube diameter above which continuum fluid mechanics may be reasonably applied to that inner fluid. Then, with overall consideration of the scale effects, including the nonlocal effects of the carbon nanotube, the surface tension of the inner fluid and the vdW interface, an improved Euler beam/plug fluid model is developed to investigate the vibration and stability of the nanopump system. The two models are both validated by comparing with molecular dynamic simulations. The results show that the critical diameter for water flow is about 1.8 nm. Nanopump stability is noticeably enhanced by the surface tension of the inner fluid for a high slenderness ratio. Both coaxial vibration frequency and stability decline as the system temperature is increased. Moreover, the proposed models predict that the transverse vibration of the inner fluid inside a nearly rigid SWCNT occurs due to the existence of the vdW interface gap and the negligible bending rigidity of the fluid.

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The coupling vibration of fluid-filled carbon nanotubes

Cited by 36 publications

References 35 publications

Vibration and instability of a viscous-fluid-conveying single-walled carbon nanotube embedded in a visco-elastic medium

Vibration and instability of a viscous-fluid-conveying single-walled carbon nanotube embedded in a visco-elastic medium

Vibration of Slender Structures Subjected to Axial Flow or Axially Towed in Quiescent Fluid

A Continuum Model of the Van der Waals Interface for Determining the Critical Diameter of Nanopumps and its Application to Analysis of the Vibration and Stability of Nanopump Systems

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