Vibration Dynamics of Fluid-Conveying Carbon Nanotubes

Carbon nanotubes that transport fluids internally exhibit unique vibration behaviours arising from their high stiffness, low mass and pronounced surface-to-volume ratio. When fluid flows within a nanotube, coupled fluid-structure interactions produce transverse and longitudinal oscillations across gigahertz to terahertz frequencies. At the nanoscale, classical continuum models are augmented by nonlocal elasticity and strain-gradient theories to capture size-dependent stiffness and damping effects. Key dynamic phenomena include flow-induced instabilities such as divergence and flutter, critical flow velocities at which steady vibrations give way to large-amplitude motion, and nonlinear responses manifesting as bifurcations or chaotic regimes. Theoretical frameworks range from Euler–Bernoulli and Timoshenko beam models to spectral-element formulations, often incorporating slip boundary conditions and external influences such as magnetic fields or elastic foundations. Understanding these vibration dynamics is essential for the design of nano-fluidic pumps, high-frequency sensors, resonators and drug-delivery devices, and underpins advances in controlled energy dissipation, signal transduction and nanoscale actuation.

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Vibration Dynamics of Fluid-Conveying Carbon Nanotubes publication trend

The graph below shows the total number of articles in vibration dynamics of fluid-conveying carbon nanotubes across all publications each year (not limited to Nature Index journals).

Technical terms

Nonlocal elasticity theory: A continuum approach that accounts for long-range interatomic forces, introducing scale-dependent stiffness corrections in nanoscale beams.

Timoshenko beam theory: A refined beam model that includes shear deformation and rotary inertia, providing more accurate frequencies for short or thick nanotubes.

Slip boundary condition: A fluid-dynamics assumption allowing relative motion between fluid and tube wall, affecting both damping and stability thresholds.

Critical flow velocity: The internal fluid speed at which a stable vibration mode transitions to an unstable or divergent response.

Fluid-structure interaction: The two-way coupling between internal fluid motion and structural deformation, fundamental to predicting vibration amplitudes and modes.

References

1. Numerical investigation on the thermal-nanofluidic flow induced transverse and longitudinal vibrations of single and multi-walled branched nanotubes resting on nonlinear elastic foundations in a magnetic environment. Partial Differential Equations in Applied Mathematics (2024).
2. Terahertz Wave Propagation in a Nanotube Conveying Fluid Taking into Account Surface Effect. Materials (2013).
3. Vibration Analysis of Fluid Conveying Carbon Nanotubes Based on Nonlocal Timoshenko Beam Theory by Spectral Element Method. Nanomaterials (2019).
4. Effects of the slip boundary condition on dynamics and pull-in instability of carbon nanotubes conveying fluid. Microfluidics and Nanofluidics (2018).
5. Axisymmetric Wave Propagation Behavior in Fluid-Conveying Carbon Nanotubes Based on Nonlocal Fluid Dynamics and Nonlocal Strain Gradient Theory. Journal of Vibration Engineering & Technologies (2020).
6. Nonlinear phenomena in vibrations of embedded carbon nanotubes conveying viscous fluid. Nanotechnology and Precision Engineering (2023).
7. Dynamics and Stability of Double-Walled Carbon Nanotube Cantilevers Conveying Fluid in an Elastic Medium. Dynamics (2024).