Fluid-solid interaction in radial vibration of carbon nanotubes immersing in compressible fluid

Abstract

This paper investigates the radial breathing mode (RBM) vibration of single-walled carbon nanotubes (SWCNTs) in a fluid media. Doublet mechanics (DM) model is used to consider microstructural features of the tube along with Navier-stoke's equation is considered to fluid properties. The medium surrounding the nanotube is typically modeled as a compressible Newtonian fluid and 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. Because of fluid interaction with the nanotube, the frequency obtained has complex form which in real part is the main frequency and the imaginary part represents the damping severity. 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 especially with the latter is observed.