N Khosravian and H Rafii-Tabar 2008 Nanotechnology 19 275703 doi:10.1088/0957-4484/19/27/275703
N Khosravian1 and H Rafii-Tabar1,2,3
Show affiliationsIn the design of nanotube-based fluidic devices, a critical issue is the effect of the induced vibrations in the nanotube arising from the fluid flow, since these vibrations can promote structural instabilities, such as buckling transitions. It is known that the induced resonant frequencies depend on the fluid flow velocity in a significant manner. We have studied, for the first time, the flow of a non-viscous fluid in stubby multi-walled carbon nanotubes, using the Timoshenko classical beam theory to model the nanotubes as a continuum structure. We have obtained the variations of the resonant frequencies with the fluid flow velocity under several experimentally interesting boundary conditions and aspect ratios of the nanotube. The main finding from our work is that, compared to an Euler–Bernoulli classical beam model of a nanotube, the Timoshenko beam predicts the loss of stability at lower fluid flow velocities.
47.61.-k Micro- and nano- scale flow phenomena
47.60.-i Flow phenomena in quasi-one-dimensional systems
Issue 27 (9 July 2008)
Received 5 January 2008, in final form 19 February 2008
Published 28 May 2008
N Khosravian and H Rafii-Tabar 2008 Nanotechnology 19 275703
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