Flexural wave and vibration properties of nanotubes conveying fluid

Abstract

The flexural wave and vibration properties of carbon nanotubes (CNTs) conveying fluid are studied by considering van der Waals (vdW) interactions between the nanotube surface and the fluid. Based on the modified model, the exact dispersion and eigenvalue relations are derived, and the corresponding wave and dynamic properties are calculated and discussed in details. The results show that the wave and vibration properties of the fluid‐conveying nanotubes with allowance for the nanotube‐fluid vdW interactions are significantly different from those predicted based on the conventional models. These properties can provide a better understanding on the relationships between the flexural waves/vibrations and the flow velocities of the fluid‐conveying components at small size scale level and to design stable nanotube‐based nanofluidic channels. In addition, the dynamic properties calculated herein by the exact dispersion and eigen equations can also serve as benchmark solutions for verifying results obtained by other approximate approaches.