Longitudinal vibration and instabilities of carbon nanotubes conveying fluid considering size effects of nanoflow and nanostructure |
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| Affiliation: | 1. School of Mechanical Engineering, University of Adelaide, South Australia 5005, Australia;2. Department of Mechanical and Construction Engineering, Northumbria University, Newcastle upon Tyne NE1 8ST, UK;3. Faculty of Science and Technology, University of Canberra, Canberra, ACT, Australia;1. Department of Mechanical Engineering, Shahid Bahonar University of Kerman, Kerman, Iran;2. Department of Mechanical Engineering, Sirjan University of Technology, Sirjan, Iran |
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| Abstract: | In this study, the effects of small-scale of the both nanoflow and nanostructure on the vibrational response of fluid flowing single-walled carbon nanotubes are investigated. To this purpose, two various flowing fluids, the air-nano-flow and the water nano-flow using Knudsen number, and two different continuum theories, the nonlocal theory and the strain-inertia gradient theory are studied. Nano-rod model is used to model the fluid-structure interaction, and Galerkin method of weighted residual is utilizing to solve and discretize the governing obtained equations. It is found that the critical flow velocity decreases as the wave number increases, excluding the first mode divergence that it has the least value among of the other instabilities if the strain-inertia gradient theory is employed. Moreover, it is observed that Kn effect has considerable impact on the reduction of critical velocities especially for the air-flow flowing through the CNT. In addition, by increasing a nonlocal parameter and Knudsen number the critical flow velocity decreases but it increases as the characteristic length related to the strain-inertia gradient theory increases. |
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| Keywords: | Longitudinal vibration Nonlocal theory Strain-inertia gradient theory Knudsen number Nano-flow Vibration instability |
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