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| Analysis of flutter instability of cantilever carbon nanotubes conveying fluid |
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Abstract Fluid-conveying carbon nanotubes (CNTs) have attracted much attention and they are used in nano-electromechanical systems (NEMS) and biomedical applications. In this work differential transform method (DTM) is used to study the vibration behavior of fluid conveying single-walled carbon nanotube (SWCNT). Based on the theories of elasticity mechanics and nonlocal elasticity, taking into account the flow-induced inertia, Coriolis and centrifugal forces along the nanotube, an elastic nonlocal Bernoulli-Euler beam model is developed for thermal-mechanical vibration and instability of a cantilever single-walled carbon nanotube (SWCNT) conveying fluid. The governing partial differential equations of motion and associated boundary conditions are derived by Hamilton's principle. The resulting eigenvalue problem is then solved, and some numerical examples are presented to investigate the effects of fluid velocity, nonlocal parameter and temperature change on the critical flow velocities and flutter instability of system. Numerical results show that the nonlocal small-scale parameter makes the fluid-conveying CNT more flexible. More importantly, the addition of a temperature field leads to much richer dynamical behaviors of the CNT system. It can be concluded that the temperature change can shift the unstable mode in which flutter instability occurs first at sufficiently high flow velocity from one to another. Furthermore, detailed results are demonstrated that at low or room temperature, for the SWCNT, the critical flutter flow velocity increases as the temperature change increases, on the other hand, while at high temperature the critical flow velocity decrease as the temperature change increases. Thus, the results of the present study may facilitate further analyses of nonlocal vibration, and thus the design of nanotubes in the presence of a temperature field. Our results maybe beneficial for the fabrication of smart nanostructures that can be employed to transport fluidic drug to diseased areas, where a low temperature field may help the fluid to flow in a suitable stream.
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Received: 05 March 2018
Published: 28 December 2018
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2018, Vol. 39 
