Vibration characteristics of fluid-conveying carbon nanotubes with curved longitudinal shape

Previous theoretical works on the carbon nanotube conveying fluid assume that the longitudinal shape of the nanotube is straight. We explore the vibration characteristics of fluid-conveying carbon nanotubes with curved longitudinal shape. The natural frequencies of curved carbon nanotubes conveying fluid are obtained and are compared with those of straight carbon nanotubes. It is shown that carbon nanotubes with circular-curved longitudinal shape are unconditionally stable even for a system with sufficiently high flow velocity.