%0 Journal Article %A Oveissi, Soheil %A Toghraie, Davood Semiromi %A Eftekhari, S. Ali %D 2018 %I Begell House %K longitudinal vibration, axially moving CNT conveying fluid, divergence and flutter instabilities, Galerkin weighted residual method %N 2 %P 171-186 %R 10.1615/InterJFluidMechRes.2018021036 %T INVESTIGATION ON THE EFFECT OF AXIALLY MOVING CARBON NANOTUBE, NANOFLOW, AND KNUDSEN NUMBER ON THE VIBRATIONAL BEHAVIOR OF THE SYSTEM %U https://www.dl.begellhouse.com/journals/71cb29ca5b40f8f8,7eaafd2004059bda,18c51b87135d2063.html %V 45 %X The equation of motion of the axially moving carbon nanotube conveying fluid is obtained in order to investigate the effect of the velocity of axially moving CNT and internal flowing fluid on the vibrational behavior of the system. To this end, the nonlocal continuum theory is used to consider the small-scale effect and the Knudsen number is employed to create the nanoflow as a fluid passing through the CNT. The equation of motion is obtained by using Hamilton's principle and the Galerkin method is used to discretize and solve it. The results indicate that the small-scale parameter plays a key role in determining the critical velocity values and the occurring instabilities of the system. It is obvious that for the eigenfunction in the higher modes, the imaginary parts of the eigenvalues reach zero at a lower critical velocity in longitudinal vibration of the axially moving CNT conveying fluid. Moreover, it can be found that the stability of the system decreases when the axially moving CNT conveying fluid is considered with the constant axial movement velocity of the CNT, the constant fluid velocity, and the case in which both velocities are the same, respectively. Also, the existence of the fluid could cause an approximately 0.2% reduction in the magnitude of the system critical velocity, and then the system's stability decreases. %8 2018-04-02