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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Print: 2152-5102
ISSN Online: 2152-5110

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.2018021036
pages 171-186

INVESTIGATION ON THE EFFECT OF AXIALLY MOVING CARBON NANOTUBE, NANOFLOW, AND KNUDSEN NUMBER ON THE VIBRATIONAL BEHAVIOR OF THE SYSTEM

Soheil Oveissi
Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran
Davood Semiromi Toghraie
Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Iran
S. Ali Eftekhari
Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Iran

ABSTRACT

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.


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