Dynamic Stability of Double-Walled Carbon Nanotubes

This paper investigates the stability of a simply supported DWCNT conveying fluid inside its innermost tube. The van der Waals interaction between the adjacent carbon layers is taken into account. The Euler elastic beam model is employed in order to study the dynamic stability behaviour of the system. The aim is to analyse the influence of the density of the conveyed fluid, the length of the tube and the dimensions of its cross section on the critical flow velocity of the fluid in the pipe under consideration and to draw conclusions about the stability of the system. This problem is approached numerically using the spectral Galerkin method. Results reveal that all above mentioned parameters have a significant effect on the stability of the nanotube.