Radial vibration of single-walled carbon nanotubes immersing in compressible fluid via doublet mechanics

This paper investigates the radial breathing mode (RBM) vibration of single-walled carbon nanotubes (SWCNTs) in a fluid media based on doublet mechanics (DM) with considering microstructural features. The medium surrounding the nanotube is typically modeled as a compressible Newtonian fluid and a classical continuum mechanics (CCM) problem of the purely radial vibration of an elastic nanotube called the breathing mode in fluid is studied. An implicit partial differential equation that governs the RBM vibration of SWCNTs vibrating in fluid is derived and then solved to give the damped frequency of the tube. The effects of microstructure along with fluid compressibility and viscosity in the breathing mode of an elastic nanotube are discussed in details. The results obtained herein are compared with the existing theoretical and experimental results and good agreement with the latter is observed.

Radial vibration of single-walled carbon nanotubes immersing in compressible fluid via doublet mechanics Keywords:

doublet mechanics , damped frequency , fluid-filled media , single-walled carbon nanotubes , breathing mode vibration , compressible Newtonian fluid